Ioakeim Ampatzoglou

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the ill-posedness of kinetic wave equations	2024	Ioakeim Ampatzoglou Tristan Léger
+ PDF Chat	Derivation of the Higher Order Boltzmann Equation for Hard Spheres	2024	Ioakeim Ampatzoglou Nataša Pavlović W. Lloyd Warner
+ PDF Chat	Scattering theory for the Inhomogeneous Kinetic Wave Equation	2024	Ioakeim Ampatzoglou Tristan Léger
+ PDF Chat	Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted $L^\infty$ spaces	2024	Ioakeim Ampatzoglou Joseph K. Miller Nataša Pavlović Maja Tasković
+ PDF Chat	Moment estimates and well-posedness of the binary-ternary Boltzmann equation	2024	Ioakeim Ampatzoglou Irene M. Gamba Nataša Pavlović Maja Tasković
+ PDF Chat	On the global in time existence and uniqueness of solutions to the Boltzmann hierarchy	2024	Ioakeim Ampatzoglou Joseph K. Miller Nataša Pavlović Maja Tasković
+ PDF Chat	Global well-posedness and stabilityof the inhomogeneous kineticwave equation near vacuum	2024	Ioakeim Ampatzoglou
+ PDF Chat	A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases	2022	Ioakeim Ampatzoglou Joseph K. Miller Nataša Pavlović
+ PDF Chat	Global well-posedness of a binary–ternary Boltzmann equation	2022	Nataša Pavlović Maja Tasković Irene M. Gamba Ioakeim Ampatzoglou
+	Global well-posedness of the inhomogeneous kinetic wave equation near vacuum	2022	Ioakeim Ampatzoglou
+	Moment estimates and well-posedness of the binary-ternary Boltzmann equation	2022	Ioakeim Ampatzoglou Irene M. Gamba Nataša Pavlović Maja Tasković
+ PDF Chat	Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting	2021	Ioakeim Ampatzoglou Charles Collot Pierre Germain
+ PDF Chat	Rigorous Derivation of a Ternary Boltzmann Equation for a Classical System of Particles	2021	Ioakeim Ampatzoglou Nataša Pavlović
+	Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting	2021	Ioakeim Ampatzoglou Charles Collot Pierre Germain
+	A Rigorous Derivation of a Boltzmann System for a Mixture of Hard-Sphere Gases	2021	Ioakeim Ampatzoglou Joseph K. Miller Nataša Pavlović
+	Higher order extensions of the Boltzmann equation	2020	Ioakeim Ampatzoglou
+	Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres	2020	Ioakeim Ampatzoglou Nataša Pavlović
+	Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres	2020	Ioakeim Ampatzoglou Nataša Pavlović
+	On the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e23" altimg="si7.gif"><mml:msup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> non-embedding in the James Tree Space	2019	Ioakeim Ampatzoglou
+	On the non-embedding of $\ell_1$ in the James Tree Space	2018	Ioakeim Ampatzoglou

Common Coauthors

Coauthor	Papers Together
Nataša Pavlović	11
Maja Tasković	5
Joseph K. Miller	4
Irene M. Gamba	2
Tristan Léger	2
Charles Collot	2
Irene M. Gamba	1
Pierre Germain	1
Pierre Germain	1
W. Lloyd Warner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Rigorous Derivation of a Ternary Boltzmann Equation for a Classical System of Particles	2021	Ioakeim Ampatzoglou Nataša Pavlović	6
+	Higher order extensions of the Boltzmann equation	2020	Ioakeim Ampatzoglou	5
+ PDF Chat	On the validity of the Boltzmann equation for short range potentials	2014	Mario Pulvirenti Chiara Saffirio Sergio Simonella	4
+ PDF Chat	Global well-posedness of a binary–ternary Boltzmann equation	2022	Nataša Pavlović Maja Tasković Irene M. Gamba Ioakeim Ampatzoglou	4
+ PDF Chat	On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models	2009	A. V. Bobylev C. Cercignani Irene M. Gamba	4
+ PDF Chat	From Newton to Boltzmann: Hard Spheres and Short-range Potentials	2014	Isabelle Gallagher Laure Saint‐Raymond Benjamin Texier	4
+	Global existence and stability of mild solutions to the Boltzmann system for gas mixtures	2007	Seung‐Yeal Ha Se Noh Seok Hyun Yun	4
+	Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres	2020	Ioakeim Ampatzoglou Nataša Pavlović	4
+ PDF Chat	Global existence and stability of mild solutions to the inelastic Boltzmann system for gas mixtures	2010	Seung‐Yeal Ha Se Eun Noh	4
+	Derivation of the transport equation for electrons moving through random impurities	1977	Herbert Spohn	3
+	Global solution of the initial value problem for the Boltzmann equation near a local Maxwellian	1988	Giuseppe Toscani	3
+ PDF Chat	The Boltzmann equation: Global existence for a rare gas in an infinite vacuum	1984	Reinhard Illner Marvin Shinbrot	3
+ PDF Chat	Global Newtonian Limit for the Relativistic Boltzmann Equation near Vacuum	2010	Robert M. Strain	3
+	On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability	1985	Nicola Bellomo Giuseppe Toscani	3
+	Global solution of the Boltzmann equation for rigid spheres and initial data close to a local Maxwellian	1989	Andrzej Palczewski Giuseppe Toscani	3
+	On the derivation of the homogeneous kinetic wave equation	2019	Charles Collot Pierre Germain	3
+	The Enskog-Boltzmann equation in the whole space R3: Some global existence, uniqueness and stability results	1987	Giuseppe Toscani Nicola Bellomo	3
+	Principles of the Kinetic Theory of Gases	1958	Harold Grad	3
+	Classical solution of the nonlinear Boltzmann equation in allR 3: Asymptotic behavior of solutions	1988	Jacek Polewczak	3
+	Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres	2020	Ioakeim Ampatzoglou Nataša Pavlović	3
+	Generalized Kinetic Maxwell Type Models of Granular Gases	2008	A. V. Bobylev C. Cercignani Irene M. Gamba	3
+	On the non-linear Boltzmann equation in unbounded domains	1986	Giuseppe Toscani	3
+	On the kinetic theory of rarefied gases	1949	Harold Grad	3
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	2
+	Fifty years of kinetic theory	1993	E. G. D. Cohen	2
+ PDF Chat	Full derivation of the wave kinetic equation	2023	Yu Deng Zaher Hani	2
+ PDF Chat	$ L^2 $-stability near equilibrium for the 4 waves kinetic equation	2023	Angeliki Menegaki	2
+ PDF Chat	Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence	2024	Charles Collot Helge Dietert Pierre Germain	2
+	The Mathematical Theory of Dilute Gases	1994	Carlo Cercignani Reinhard Illner Mario Pulvirenti	2
+	Boltzmann Equation from the Statistical Mechanical Point of View	1956	Melville S. Green	2
+ PDF Chat	Existence of global solutions to the Cauchy problem for the inelastic Boltzmann equation with near-vacuum data	2009	Ricardo J. Alonso	2
+ PDF Chat	Three-Particle Collisions in a Gas of Hard Spheres	1970	W. R. Hoegy J. V. Sengers	2
+ PDF Chat	On the derivation of the wave kinetic equation for NLS	2021	Yu Deng Zaher Hani	2
+	Inhomogeneous turbulence for Wick NLS	2023	Zaher Hani Jalal Shatah Hui Zhu	2
+ PDF Chat	Evolution of Correlation Functions in the Hard Sphere Dynamics	2014	Sergio Simonella	2
+ PDF Chat	On Existence and Uniqueness to Homogeneous Boltzmann Flows of Monatomic Gas Mixtures	2019	Irene M. Gamba Milana Pavić‐Čolić	2
+	The mathematical theory of dilute gases	1994	Carlo Cercignani Reinhard Illner Mario Pulvirenti	2
+	Generalized Invariant Sets for the Boltzmann Equation	1997	Thierry Goudon	2
+	The Kinetic Theory of Phenomena in Dense Gases.	1958	Soon Tahk Choh	2
+ PDF Chat	Linearized Wave Turbulence Convergence Results for Three-Wave Systems	2020	Erwan Faou	2
+	Kinetic Theory of Dense Gases	1960	Henry B. Hollinger C. F. Curtiss	2
+	Difficulties in the Kinetic Theory of Dense Gases	1967	J. R. Dorfman E. G. D. Cohen	2
+	The Three-Particle Collision Term in the Generalized Boltzmann Equation	1973	J. V. Sengers	2
+ PDF Chat	A Characterization of Banach Spaces Containing <i>l</i> <sup>1</sup>	1974	Haskell P. Rosenthal	2
+ PDF Chat	The Propagation of Chaos for a Rarefied Gas of Hard Spheres in the Whole Space	2018	Ryan Denlinger	2
+ PDF Chat	Weakly nonlinear Schrödinger equation with random initial data	2010	Jani Lukkarinen Herbert Spohn	2
+ PDF Chat	From Particle Systems to the Landau Equation: A Consistency Result	2012	A. V. Boblylev Mario Pulvirenti Chiara Saffirio	2
+ PDF Chat	Optimal local well-posedness theory for the kinetic wave equation	2020	Pierre Germain Alexandru D. Ionescu Minh-Binh Tran	2
+	On the wave turbulence theory for stochastic and random multidimensional KdV type equations	2021	Gigliola Staffilani Minh-Binh Tran	2
+	Long time justification of wave turbulence theory	2023	Yu Deng Zaher Hani	2