Arnaud Debussche

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All published works

Action	Title	Year	Authors
+	Variational principles for fully coupled stochastic fluid dynamics across scales	2025	Arnaud Debussche Étienne Mémin
+	From Stochastic Zakharov System to Multiplicative Stochastic Nonlinear Schrödinger Equation	2024	Grégoire Barrué Anne de Bouard Arnaud Debussche
+	Some Properties of a Non-hydrostatic Stochastic Oceanic Primitive Equations Model	2024	Arnaud Debussche Étienne Mémin Antoine Moneyron
+	Derivation of Stochastic Models for Coastal Waves	2024	Arnaud Debussche Étienne Mémin Antoine Moneyron
+	Second order perturbation theory of two-scale systems in fluid dynamics	2024	Arnaud Debussche Umberto Pappalettera
+ PDF Chat	Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space	2024	Arnaud Debussche Ruoyuan Liu Nikolay Tzvetkov Nicola Visciglia
+ PDF Chat	Periodic nonlinear Schr\"odinger equation with distributional potential and invariant measures	2024	Arnaud Debussche Antoine Mouzard
+	Approximation diffusion for the Nonlinear Schrödinger equation with a random potential	2024	Grégoire Barrué Arnaud Debussche Maxime Tusseau
+ PDF Chat	A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations	2023	Arnaud Debussche Berenger Hug Étienne Mémin
+	Rough analysis of two scale systems	2023	Arnaud Debussche Martina Hofmanová
+	Smoluchowski-Kramers diffusion approximation for systems of stochastic damped wave equations with non-constant friction	2023	Sandra Cerrai Arnaud Debussche
+ PDF Chat	The Boltzmann equation with an external force on the torus : incompressible Navier–Stokes–Fourier hydrodynamical limit	2022	Marc Briant Arnaud Debussche Julien Vovelle
+ PDF Chat	Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation	2022	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+ PDF Chat	Existence of martingale solutions for stochastic flocking models with local alignment	2022	Arnaud Debussche Angelo Rosello
+ PDF Chat	Two-Dimensional Gross–Pitaevskii Equation With Space-Time White Noise	2022	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+	Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation	2022	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+	Second order perturbation theory of two-scale systems in fluid dynamics	2022	Arnaud Debussche Umberto Pappalettera
+	A consistent stochastic large-scale representation of the Navier-Stokes equations	2022	Arnaud Debussche Berenger Hug Étienne Mémin
+ PDF Chat	A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	2021	Arnaud Debussche Mac Jugal Nguepedja Nankep
+ PDF Chat	Push-forward method for piecewise deterministic biochemical simulations	2021	Guilherme C. P. Innocentini Arran Hodgkinson Fernando Antoneli Arnaud Debussche Ovidiu Radulescu
+	Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on T	2021	Arnaud Debussche Yoshio Tsutsumi
+	Two dimensional Gross-Pitaevskii equation with space-time white noise	2021	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+ PDF Chat	Diffusion-approximation for a kinetic spray-like system with random forcing	2021	Arnaud Debussche Angelo Rosello Julien Vovelle
+	Two dimensional Gross-Pitaevskii equation with space-time white noise	2021	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+	A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	2020	Arnaud Debussche Mac Jugal Nguepedja Nankep
+ PDF Chat	Existence of martingale solutions for stochastic flocking models with local alignment	2020	Arnaud Debussche Angelo Rosello
+	Existence of martingale solutions for stochastic flocking models with local alignment	2020	Arnaud Debussche Angelo Rosello
+ PDF Chat	Diffusion-approximation in stochastically forced kinetic equations	2020	Arnaud Debussche Julien Vovelle
+	Gradient estimates and maximal dissipativity for the Kolmogorov operator in $\Phi ^{4}_{2}$	2020	Giuseppe Da Prato Arnaud Debussche
+	Quasi-Invariance of Gaussian Measures Transported by the Cubic NLS with Third-Order Dispersion on $\mathbf{T}$	2020	Arnaud Debussche Yoshio Tsutsumi
+	A Piecewise Deterministic Limit for a Multiscale Stochastic Spatial Gene Network	2020	Arnaud Debussche Mac Jugal Nguepedja Nankep
+	Diffusion-approximation for a kinetic spray-like system with random forcing	2020	Arnaud Debussche Angelo Rosello Julien Vovelle
+	Existence of martingale solutions for stochastic flocking models with local alignment	2020	Arnaud Debussche Angelo Rosello
+ PDF Chat	Estimate for P t D for the stochastic Burgers equation	2019	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network	2019	Arnaud Debussche Mac Jugal Nguepedja Nankep
+ PDF Chat	Solution to the stochastic Schrödinger equation on the full space	2019	Arnaud Debussche Jörg Martin
+ PDF Chat	Large deviations for the two-dimensional stochastic Navier–Stokes equation with vanishing noise correlation	2019	Sandra Cerrai Arnaud Debussche
+	The Boltzmann equation with an external force on the torus: Incompressible Navier-Stokes-Fourier hydrodynamical limit	2019	Marc Briant Arnaud Debussche Julien Vovelle
+	Kolmogorov equations and weak order analysis for SPDEs with nonlinear diffusion coefficient	2018	Charles-Édouard Bréhier Arnaud Debussche
+ PDF Chat	Quasilinear generalized parabolic Anderson model equation	2018	I. Bailleul Arnaud Debussche Martina Hofmanová
+	The Schrödinger equation with spatial white noise potential	2018	Arnaud Debussche Hendrik Weber
+ PDF Chat	Long Time Behavior of Gross--Pitaevskii Equation at Positive Temperature	2018	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+ PDF Chat	Large Deviations for the Dynamic $$\Phi ^{2n}_d$$ Φ d 2 n Model	2017	Sandra Cerrai Arnaud Debussche
+	Long time behavior of Gross-Pitaevskii equation at positive temperature	2017	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+	Diffusion-approximation in stochastically forced kinetic equations	2017	Arnaud Debussche Julien Vovelle
+	Approximation -diffusion in stochastically forced kinetic equations	2017	Arnaud Debussche Julien Vovelle
+	Solution to the stochastic Schr\"odinger equation on the full space	2017	Arnaud Debussche Jörg Martin
+	Large deviations for the dynamic $\Phi^{2n}_d$ model	2017	Sandra Cerrai Arnaud Debussche
+	Kolmogorov Equations and Weak Order Analysis for SPDES with Nonlinear Diffusion Coefficient	2017	Charles-Édouard Bréhier Arnaud Debussche
+	A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network	2017	Arnaud Debussche Mac Jugal Nguepedja Nankep
+	Kolmogorov Equations and Weak Order Analysis for SPDES with Nonlinear Diffusion Coefficient	2017	Charles-Édouard Bréhier Arnaud Debussche
+	Solution to the stochastic Schrödinger equation on the full space	2017	Arnaud Debussche Jörg Martin
+	Long time behavior of Gross-Pitaevskii equation at positive temperature	2017	Anne de Bouard Arnaud Debussche Reika Fukuizumi
+	Large deviations for the dynamic $Φ^{2n}_d$ model	2017	Sandra Cerrai Arnaud Debussche
+	Quasilinear generalized parabolic Anderson model equation	2016	Ismaël Bailleul Arnaud Debussche Martina Hofmanová
+	Quasilinear generalized parabolic Anderson model	2016	Ismaël Bailleul Arnaud Debussche Martina Hofmanová
+ PDF Chat	An integral inequality for the invariant measure of a stochastic reaction–diffusion equation	2016	Giuseppe Da Prato Arnaud Debussche
+	Estimate for $P_{t}D$ for the stochastic Burgers equation	2016	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Diffusion limit for the radiative transfer equation perturbed by a Markovian process	2016	Arnaud Debussche Sylvain De Moor Julien Vovelle
+	Degenerate parabolic stochastic partial differential equations: Quasilinear case	2016	Arnaud Debussche Martina Hofmanová Julien Vovelle
+	Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation	2016	Sandra Cerrai Arnaud Debussche
+	The Schr{ö}dinger equation with spatial white noise potential	2016	Arnaud Debussche Hendrik Weber
+	Quasilinear generalized parabolic Anderson model equation	2016	Ismaël Bailleul Arnaud Debussche Martina Hofmanová
+	Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation	2016	Sandra Cerrai Arnaud Debussche
+	An integral inequality for the invariant measure of a stochastic reaction--diffusion equation	2015	Giuseppe Da Prato Arnaud Debussche
+	Existence of the Fomin derivative of the invariant measure of a stochastic reaction-diffusion equation (Mathematical Analysis of Viscous Incompressible Fluid)	2015	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion	2015	R. Belaouar Anne de Bouard Arnaud Debussche
+ PDF Chat	A Regularity Result for Quasilinear Stochastic Partial Differential Equations of Parabolic Type	2015	Arnaud Debussche Sylvain De Moor Martina Hofmanová
+	Existence of the Fomin derivative of the invariant measure of a stochastic reaction--diffusion equation	2015	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Diffusion limit for the radiative transfer equation perturbed by a Wiener process	2015	Arnaud Debussche Sylvain De Moor Julien Vovelle
+	Existence of the Fomin derivative of the invariant measure of a stochastic reaction{diusion equation	2015	Giuseppe Da Prato Arnaud Debussche
+	An integral inequality for the invariant measure of a stochastic reaction--diffusion equation	2015	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Invariant measure of scalar first-order conservation laws with stochastic forcing	2014	Arnaud Debussche Julien Vovelle
+	Diffusion limit for the radiative transfer equation perturbed by a Markovian process	2014	Arnaud Debussche Sylvain De Moor Julien Vovelle
+	Diffusion limit for the radiative transfer equation perturbed by a Wiener process	2014	Arnaud Debussche Sylvain De Moor Julien Vovelle
+	A regularity result for quasilinear stochastic partial differential equations of parabolic type	2014	Arnaud Debussche Sylvain De Moor Martina Hofmanová
+	A regularity result for quasilinear stochastic partial differential equations of parabolic type	2014	Arnaud Debussche Sylvain De Moor Martina Hofmanová
+	Diffusion limit for the radiative transfer equation perturbed by a Wiener process	2014	Arnaud Debussche Sylvain De Moor Julien Vovelle
+	Diffusion limit for the radiative transfer equation perturbed by a Markovian process	2014	Arnaud Debussche Sylvain De Moor Julien Vovelle
+	Estimate for $P_tD$ for the stochastic Burgers equation	2014	Giuseppe Da Prato Arnaud Debussche
+	Invariant measure of scalar first-order conservation laws with stochastic forcing	2013	Arnaud Debussche Julien Vovelle
+ PDF Chat	Existence of densities for the 3D Navier–Stokes equations driven by Gaussian noise	2013	Arnaud Debussche Marco Romito
+	Existence of densities for stable-like driven SDEʼs with Hölder continuous coefficients	2013	Arnaud Debussche Nicolas Fournier
+	Asymptotic Transition Times	2013	Arnaud Debussche Michael A. Högele Peter Imkeller
+	The Stochastic Chafee–Infante Equation	2013	Arnaud Debussche Michael A. Högele Peter Imkeller
+	The Fine Dynamics of the Chafee–Infante Equation	2013	Arnaud Debussche Michael A. Högele Peter Imkeller
+	The Small Deviation of the Small Noise Solution	2013	Arnaud Debussche Michael A. Högele Peter Imkeller
+	Asymptotic Exit Times	2013	Arnaud Debussche Michael A. Högele Peter Imkeller
+	The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise	2013	Arnaud Debussche Michael A. Högele Peter Imkeller
+	Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction	2013	Arnaud Debussche
+	Weak truncation error estimates for elliptic PDES with lorgnormal coefficients	2013	Julia Charrier Arnaud Debussche
+	Invariant measure of scalar first-order conservation laws with stochastic forcing	2013	Arnaud Debussche Julien Vovelle
+ PDF Chat	Convergence of stochastic gene networks to hybrid piecewise deterministic processes	2012	Alina Crudu Arnaud Debussche Alfred Müller Ovidiu Radulescu
+ PDF Chat	Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise	2012	Arnaud Debussche Nathan Glatt-Holtz Roger Témam Mohammed Ziane
+ PDF Chat	Modélisation de réseaux de régulation de gènes par processus déterministes par morceaux	2012	Aurélie Muller-Gueudin Arnaud Debussche Alina Crudu
+ PDF Chat	Exponential Mixing of the 3D Stochastic Navier-Stokes Equations Driven by Mildly Degenerate Noises	2012	Sergio Albeverio Arnaud Debussche Lihu Xu
+	Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise	2012	Arnaud Debussche Marco Romito
+ PDF Chat	Weak Backward Error Analysis for SDEs	2012	Arnaud Debussche Erwan Faou
+	Existence of densities for the 3D Navier-Stokes equations driven by Gaussian noise	2012	Arnaud Debussche Marco Romito
+	1D quintic nonlinear Schrödinger equation with white noise dispersion	2011	Arnaud Debussche Yoshio Tsutsumi
+	Weak backward error analysis for SDEs	2011	Arnaud Debussche Erwan Faou
+ PDF Chat	Local martingale and pathwise solutions for an abstract fluids model	2011	Arnaud Debussche Nathan Glatt-Holtz Roger Témam
+ PDF Chat	Diffusion limit for a stochastic kinetic problem	2011	Arnaud Debussche Julien Vovelle
+	Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed L\'evy noise	2011	Arnaud Debussche Michael A. Högele Peter Imkeller
+	Convergence of stochastic gene networks to hybrid piecewise deterministic processes	2011	Alina Crudu Arnaud Debussche Aurélie Muller Ovidiu Radulescu
+ PDF Chat	Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed Lévy noise	2011	Arnaud Debussche Michael Hoegele Peter Imkeller
+ PDF Chat	Stochastic Cahn–Hilliard Equation with Double Singular Nonlinearities and Two Reflections	2011	Arnaud Debussche Ludovic Goudenège
+	Diffusion limit for a stochastic kinetic problem	2011	Arnaud Debussche Julien Vovelle
+	Convergence of stochastic gene networks to hybrid piecewise deterministic processes	2011	Alina Crudu Arnaud Debussche Aurélie Muller Ovidiu Radulescu
+	Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed Lévy noise	2011	Arnaud Debussche Michael A. Högele Peter Imkeller
+	Weak backward error analysis for SDEs	2011	Arnaud Debussche Erwan Faou
+	Ergodic BSDEs under weak dissipative assumptions	2010	Arnaud Debussche Ying Hu Gianmario Tessitore
+ PDF Chat	Weak approximation of stochastic partial differential equations: the nonlinear case	2010	Arnaud Debussche
+	The nonlinear Schrödinger equation with white noise dispersion	2010	Anne de Bouard Arnaud Debussche
+	Ergodic BSDEs under weak dissipative assumptions	2010	Arnaud Debussche Ying Hu Gianmario Tessitore
+ PDF Chat	Scalar conservation laws with stochastic forcing	2010	Arnaud Debussche Julien Vovelle
+	Asymptotic behavior of stochastic PDEs with random coefficients	2010	Da Prato Giuseppe Arnaud Debussche
+	1D quintic nonlinear Schrödinger equation with white noise dispersion	2010	Arnaud Debussche Yoshio Tsutsumi
+ PDF Chat	Asymptotic behavior of stochastic PDEs with random coefficients	2010	Giuseppe Da Prato Arnaud Debussche
+	Ergodic BSDEs under weak dissipative assumptions	2010	Arnaud Debussche Ying Hu Gianmario Tessitore
+	Asymptotic behavior of stochastic PDEs with random coefficients	2010	Da Prato Giuseppe Arnaud Debussche
+	Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises	2009	Sergio Albeverio Arnaud Debussche Lihu Xu
+	Exponential mixing of NSE with mildly degenerate noise] Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises	2009	Sergio Albeverio Arnaud Debussche Lihu Xu
+ PDF Chat	Long-time behavior in scalar conservation laws	2009	Arnaud Debussche Julien Vovelle
+	Modified energy for split-step methods applied to the linear Schr\"odinger equation	2009	Arnaud Debussche Erwan Faou
+ PDF Chat	Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation	2009	Arnaud Debussche Erwan Faou
+ PDF Chat	Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise	2009	Anne de Bouard Arnaud Debussche
+	Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises	2009	Sergio Albeverio Arnaud Debussche Lihu Xu
+ PDF Chat	On a stochastic Korteweg-de Vries equation with homogeneous noise	2009	Anne de Bouard Arnaud Debussche
+ PDF Chat	Weak order for the discretization of the stochastic heat equation	2008	Arnaud Debussche Jacques Printems
+ PDF Chat	On the martingale problem associated to the $2D$ and $3D$ stochastic Navier–Stokes equations	2008	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Small noise asymptotic of the timing jitter in soliton transmission	2008	Arnaud Debussche Éric Gautier
+	On the martingale probem associated to the 2D and 3D Stochastic Navier-Stokes equations	2008	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Conservative stochastic Cahn–Hilliard equation with reflection	2007	Arnaud Debussche Lorenzo Zambotti
+	2D Stochastic Navier–Stokes Equations with a Time-Periodic Forcing Term	2007	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	The Korteweg-de Vries Equation with Multiplicative Homogeneous Noise	2007	Anne de Bouard Arnaud Debussche
+ PDF Chat	Optimal control of a stochastic heat equation with boundary-noise and boundary-control	2007	Arnaud Debussche Marco Fuhrman Gianmario Tessitore
+ PDF Chat	A modified Kardar-Parisi-Zhang model	2007	Giuseppe Da Prato Arnaud Debussche Luciano Tubaro
+ PDF Chat	m-Dissipativity of Kolmogorov Operators Corresponding to Burgers Equations with Space-time White Noise	2006	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Weak and Strong Order of Convergence of a Semidiscrete Scheme for the Stochastic Nonlinear Schrodinger Equation	2006	Anne de Bouard Arnaud Debussche
+ PDF Chat	Random modulation of solitons for the stochastic Korteweg–de Vries equation	2006	Anne de Bouard Arnaud Debussche
+ PDF Chat	Markov solutions for the 3D stochastic Navier–Stokes equations with state dependent noise	2006	Arnaud Debussche Cyril Odasso
+ PDF Chat	Convergence of a semi-discrete scheme for the stochastic Korteweg-de Vries equation	2006	Arnaud Debussche Jacques Printems
+	Small noise asymptotic of the timing jitter in soliton transmission	2006	Arnaud Debussche Éric Gautier
+	Markov solutions for the 3D stochastic Navier--Stokes equations with state dependent noise	2005	Arnaud Debussche Cyril Odasso
+	A Dynamical Multi-level Scheme for the Burgers Equation: Wavelet and Hierarchical Finite Element	2005	Arnaud Debussche J. Laminie Ezzeddine Zahrouni
+	Ergodicity for a weakly damped stochastic non-linear Schrödinger equation	2005	Arnaud Debussche Cyril Odasso
+ PDF Chat	Blow-up for the stochastic nonlinear Schrödinger equation with multiplicative noise	2005	Arnaud Debussche Anne de Bouard
+ PDF Chat	Coupling for some partial differential equations driven by white noise	2005	Giuseppe Da Prato Arnaud Debussche Luciano Tubaro
+ PDF Chat	Numerical study of two‐dimensional stochastic NLS equations	2005	Marc Barton-Smith Arnaud Debussche Laurent Di Menza
+	Markov solutions for the 3D stochastic Navier--Stokes equations with state dependent noise	2005	Arnaud Debussche Cyril Odasso
+ PDF Chat	Periodic Solutions of the Korteweg--de Vries Equation Driven by White Noise	2004	Anne de Bouard Arnaud Debussche Yoshio Tsutsumi
+	THE KOLMOGOROV EQUATION ASSOCIATED TO THE STOCHASTIC NAVIER–STOKES EQUATIONS IN 2D	2004	Viorel Barbu Giuseppe Da Prato Arnaud Debussche
+	Absolute Continuity of the Invariant Measures for Some Stochastic PDEs	2004	Giuseppe Da Prato Arnaud Debussche
+	A semi-discrete scheme for the stochastic nonlinear Schr�dinger equation	2004	Anne de Bouard Arnaud Debussche
+ PDF Chat	Irregular semi-convex gradient systems perturbed by noise and application to the stochastic Cahn?Hilliard equation	2004	Giuseppe Da Prato Arnaud Debussche Luciano Tubaro
+	Coupling for some partial differential equations driven by white noise	2004	Giuseppe Da Prato Arnaud Debussche Luciano Tubaro
+	Ergodicity for the weakly damped stochastic non-linear Schrödinger equations	2004	Arnaud Debussche Cyril Odasso
+ PDF Chat	Strong solutions to the stochastic quantization equations	2003	Giuseppe Da Prato Arnaud Debussche
+	Ergodicity for the 3D stochastic Navier–Stokes equations	2003	Giuseppe Da Prato Arnaud Debussche
+	The Stochastic Nonlinear Schrödinger Equation in<i>H</i><sup>1</sup>	2003	Anne de Bouard Arnaud Debussche
+	Explosion en temps fini pour l’équation de Schrödinger non linéaire stochastique surcritique	2003	Anne de Bouard Arnaud Debussche
+	Two-Dimensional Navier–Stokes Equations Driven by a Space–Time White Noise	2002	Giuseppe Da Prato Arnaud Debussche
+	Numerical resolution of stochastic focusing NLS equations	2002	Arnaud Debussche Laurent Di Menza
+ PDF Chat	On the effect of a noise on the solutions of the focusing supercritical nonlinear Schrödinger equation	2002	Anne de Bouard Arnaud Debussche
+	Numerical simulation of focusing stochastic nonlinear Schrödinger equations	2002	Arnaud Debussche Laurent Di Menza
+ PDF Chat	Finite-time blow-up in the additive supercritical stochastic nonlinear Schrödinger equation: the real noise case	2002	Anne de Bouard Arnaud Debussche
+ PDF Chat	Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations	2001	Anne de Bouard Arnaud Debussche Laurent Di Menza
+ PDF Chat	Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations	2001	Anne de Bouard Arnaud Debussche Laurent Di Menza
+ PDF Chat	Dynamic programming for the stochastic burgers equation	2000	Giuseppe Da Prato Arnaud Debussche
+ PDF Chat	Dynamic Programming for the stochastic Navier-Stokes equations	2000	Giuseppe Da Prato Arnaud Debussche
+	White Noise Driven Korteweg–de Vries Equation	1999	Anne de Bouard Arnaud Debussche Yoshio Tsutsumi
+	Numerical simulation of the stochastic Korteweg–de Vries equation	1999	Arnaud Debussche Jacques Printems
+	A Stochastic Nonlinear Schrödinger Equation¶with Multiplicative Noise	1999	Anne de Bouard Arnaud Debussche
+	Control of the Stochastic Burgers Model of Turbulence	1999	Giuseppe Da Prato Arnaud Debussche
+	A Density Perturbation Method to Study the Eigenstructure of Two-Phase Flow Equation Systems	1998	Julien Cortes Arnaud Debussche I. Toumi
+	Hausdorff dimension of a random invariant set	1998	Arnaud Debussche
+	On the Stochastic Korteweg–de Vries Equation	1998	Anne de Bouard Arnaud Debussche
+	Differentiability of the transition semigroup of the stochastic Burgers equation, and application to the corresponding Hamilton-Jacobi equation	1998	Giuseppe Da Prato Arnaud Debussche
+	Inertial manifolds and slow manifolds	1997	Arnaud Debussche Roger Témam
+	Some new generalizations of inertial manifolds	1996	Arnaud Debussche Roger Témam
+	On the Cahn-Hilliard equation with a logarithmic free energy	1995	Arnaud Debussche Lucia Dettori
+	Stochastic Burgers' equation	1994	Guiseppe Da Prato Arnaud Debussche Roger Témam
+	On the discretization of a partial differential equation in the neighborhood of a periodic orbit	1993	Fran�ois Alouges Arnaud Debussche
+	A convergent family of approximate inertial manifolds	1993	Arnaud Debussche Roger Témam
+	On the construction of families of approximate inertial manifolds	1992	Arnaud Debussche Martine Marion
+	A singular perturbation of the Cahn–Hilliard equation	1991	Arnaud Debussche
+	On the qualitative behavior of the orbits of a parabolic partial differential equation and its discretization in the neighborhood of a hyperbolic fixed point	1991	François Alouges Arnaud Debussche
+	Inertial Manifolds and Slow Manifolds	1991	Arnaud Debussche Roger Témam
+	Some problems related to the long time behaviour of dissipative evolution equations	1989	Arnaud Debussche

Common Coauthors

Coauthor	Papers Together
Anne de Bouard	28
Giuseppe Da Prato	28
Julien Vovelle	21
Peter Imkeller	9
Sylvain De Moor	9
Martina Hofmanová	9
Michael A. Högele	8
Reika Fukuizumi	8
Roger Témam	7
Sandra Cerrai	7
Yoshio Tsutsumi	6
Laurent Di Menza	5
Erwan Faou	5
Cyril Odasso	5
Mac Jugal Nguepedja Nankep	5
Étienne Mémin	5
Ovidiu Radulescu	4
Sergio Albeverio	4
Gianmario Tessitore	4
Lihu Xu	4
Alina Crudu	4
Angelo Rosello	4
Jacques Printems	3
Ismaël Bailleul	3
Charles-Édouard Bréhier	3
Marco Romito	3
Jörg Martin	3
Luciano Tubaro	3
Umberto Pappalettera	2
Antoine Moneyron	2
Berenger Hug	2
Marc Briant	2
Ying Hu	2
Da Prato Giuseppe	2
Grégoire Barrué	2
Nathan Glatt-Holtz	2
Angelo Rosello	2
Aurélie Muller	2
Éric Gautier	2
Nicola Visciglia	1
Julia Charrier	1
Michael Hoegele	1
R. Belaouar	1
I. Bailleul	1
Fernando Antoneli	1
Lorenzo Zambotti	1
I. Toumi	1
Hendrik Weber	1
Guiseppe Da Prato	1
Fran�ois Alouges	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Stochastic Equations in Infinite Dimensions	2014	Giuseppe Da Prato Jerzy Zabczyk	40
+	Stochastic Equations in Infinite Dimensions	1992	Guiseppe Da Prato Jerzy Zabczyk	28
+	Ergodicity for Infinite Dimensional Systems	1996	Giuseppe Da Prato Jerzy Zabczyk	22
+	Ergodicity for the 3D stochastic Navier–Stokes equations	2003	Giuseppe Da Prato Arnaud Debussche	15
+ PDF Chat	Statistics of soliton-bearing systems with additive noise	2001	Gregory Falkovich I. V. Kolokolov В. В. Лебедев Sergei K. Turitsyn	15
+	Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation	2001	E Weinan Jonathan C. Mattingly Ya. G. Sinaĭ	15
+ PDF Chat	Martingale and stationary solutions for stochastic Navier-Stokes equations	1995	Franco Flandoli Dariusz Gątarek	13
+	A Coupling Approach¶to Randomly Forced Nonlinear PDE's. I	2001	Sergei Kuksin Armen Shirikyan	13
+ PDF Chat	A theory of regularity structures	2014	Martin Hairer	12
+ PDF Chat	Strong solutions to the stochastic quantization equations	2003	Giuseppe Da Prato Arnaud Debussche	12
+	The Stochastic Nonlinear Schrödinger Equation in<i>H</i><sup>1</sup>	2003	Anne de Bouard Arnaud Debussche	10
+ PDF Chat	Markov solutions for the 3D stochastic Navier–Stokes equations with state dependent noise	2006	Arnaud Debussche Cyril Odasso	10
+ PDF Chat	Convergence of Probability Measures	1999	Patrick Billingsley	10
+ PDF Chat	Ergodicity of the 2D Navier–Stokes equations with degenerate stochastic forcing	2006	Martin Hairer Jonathan C. Mattingly	10
+	A Stochastic Nonlinear Schrödinger Equation¶with Multiplicative Noise	1999	Anne de Bouard Arnaud Debussche	10
+ PDF Chat	Markov selections for the 3D stochastic Navier–Stokes equations	2007	Franco Flandoli Marco Romito	9
+	Numerical simulation of focusing stochastic nonlinear Schrödinger equations	2002	Arnaud Debussche Laurent Di Menza	9
+	Encyclopedia of Mathematics and its Applications.	1982	Y. L. L. William B. Jones W. J. Thron	9
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	9
+ PDF Chat	On the effect of a noise on the solutions of the focusing supercritical nonlinear Schrödinger equation	2002	Anne de Bouard Arnaud Debussche	9
+	Stochastic Korteweg-de Vries Equation	1983	Miki Wadati	9
+ PDF Chat	Qualitative properties of stationary measures for three-dimensional Navier–Stokes equations	2007	Armen Shirikyan	9
+	On the Stochastic Korteweg–de Vries Equation	1998	Anne de Bouard Arnaud Debussche	9
+	Martingale approach to some limit theorems	1977	George Papanicolaou	9
+	None	2001	Sergei Kuksin Armen Shirikyan	9
+	Equations stochastiques du type Navier-Stokes	1973	Alain Bensoussan Roger Témam	8
+ PDF Chat	Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process	1999	Zdzisław Brzeźniak Szymon Peszat	8
+ PDF Chat	Exponential Mixing for the 3D Stochastic Navier–Stokes Equations	2006	Cyril Odasso	8
+ PDF Chat	m-Dissipativity of Kolmogorov Operators Corresponding to Burgers Equations with Space-time White Noise	2006	Giuseppe Da Prato Arnaud Debussche	8
+	Navier-Stokes Equations and Nonlinear Functional Analysis	1987	Roger Témam	8
+	An Introduction to Semilinear Evolution Equations	1998	Thierry Cazenave Alain Haraux Yvan Martel	8
+	Two-Dimensional Navier–Stokes Equations Driven by a Space–Time White Noise	2002	Giuseppe Da Prato Arnaud Debussche	7
+	Theory of function spaces	1983	Hans Triebel	7
+	An Introduction to 3D Stochastic Fluid Dynamics	2008	Franco Flandoli	7
+	Stochastic Burgers' equation	1994	Guiseppe Da Prato Arnaud Debussche Roger Témam	7
+	Second Order Partial Differential Equations in Hilbert Spaces	2002	Giuseppe Da Prato Jerzy Zabczyk	7
+	Differentiability of the Feynman-Kac semigroup and a control application	1997	Giuseppe Da Prato Jerzy Zabczyk	7
+ PDF Chat	Partial regularity for the stochastic Navier-Stokes equations	2002	Franco Flandoli Marco Romito	7
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry	7
+	Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions	2006	Sergei Kuksin	7
+	Ergodicity of 2D Navier-Stokes Equations with¶Random Forcing and Large Viscosity	1999	Jonathan C. Mattingly	6
+	White Noise Driven Korteweg–de Vries Equation	1999	Anne de Bouard Arnaud Debussche Yoshio Tsutsumi	6
+	Global well-posedness of the dynamic $\Phi^{4}$ model in the plane	2017	Jean-Christophe Mourrat Hendrik Weber	6
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin	6
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	6
+	Theory of Function Spaces	1983	Hans Triebel	6
+	Numerical simulation of the stochastic Korteweg–de Vries equation	1999	Arnaud Debussche Jacques Printems	6
+	None	1997	István Gyöngy David Nualart	6
+	ERGODICITY FOR INFINITE DIMENSIONAL SYSTEMS (London Mathematical Society Lecture Note Series 229)	1997	K. D. Elworthy	6
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain	6