On the Stability in Weak Topology of the Set of Global Solutions to the Navier–Stokes Equations

Hajer Bahouri, Isabelle Gallagher

Type: Article

Publication Date: 2013-04-09

Citations: 24

DOI: https://doi.org/10.1007/s00205-013-0623-y

View Publication

Download PDF

Locations

Archive for Rational Mechanics and Analysis - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the stability in weak topology of the set of global solutions to the Navier-Stokes equations	2013	Hajer Bahouri Isabelle Gallagher
+	On the stability in weak topology of the set of global solutions to the Navier-Stokes equations	2011	Hajer Bahouri Isabelle Gallagher
+	Weak stability of the set of global solutions to the Navier-Stokes equations	2011	Hajer Bahouri Isabelle Gallagher
+ PDF Chat	On the stability of global solutions to the three-dimensional Navier-Stokes equations	2018	Hajer Bahouri Jean-Yves Chemin Isabelle Gallagher
+	Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics	2024	Diogo Arsénio Zineb Hassainia Haroune Houamed
+ PDF Chat	The Role of Spectral Anisotropy in the Resolution of the Three-Dimensional Navier–Stokes Equations	2013	Jean-Yves Chemin Isabelle Gallagher Chloé Mullaert
+	Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics	2023	Diogo Arsénio Zineb Hassainia Haroune Houamed
+ PDF Chat	Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets	2007	Yoshikazu Giga Katsuya Inui Alex Mahalov Jürgen Saal
+	Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries	1994	Hideo Kozono Takayoshi Ogawa
+ PDF Chat	Existence of Suitable Weak Solutions to the Navier–Stokes Equations for Intermittent Data	2019	Zachary Bradshaw Igor Kukavica
+	On global solutions to the Navier-Stokes system with large $L^{3,\infty}$ initial data	2016	Tobias Barker G. Serëgin
+	Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space	2020	Zachary Bradshaw Igor Kukavica Wojciech S. Ożański
+ PDF Chat	Stability by rescaled weak convergence for the Navier-Stokes equations	2013	Hajer Bahouri Jean-Yves Chemin Isabelle Gallagher
+	Density of global trajectories for filtered Navier–Stokes equations	2004	Jesenko Vukadinović
+ PDF Chat	Global Weak Solutions of the Navier–Stokes Equations for Intermittent Initial Data in Half-Space	2022	Zachary Bradshaw Igor Kukavica Wojciech S. Ożański
+ PDF Chat	Almost sure existence of global weak solutions to the 3D incompressible Navier-Stokes equation	2017	Wang Jingrui Keyan Wang
+	Global existence and decay of strong solutions to the compressible Navier-Stokes-Poisson equations in bounded domains	2023	Hui Liu Xin Si Haibo Yu
+	Global solutions of Navier–Stokes equations for large initial data belonging to spaces with dominating mixed smoothness	2014	Hans Triebel
+ PDF Chat	Existence and stability of steady-state solutions with finite energy for the Navier–Stokes equation in the whole space	2009	Clayton Bjorland María E. Schonbek
+ PDF Chat	Asymptotic behavior of global solutions to the Navier–Stokes equations in $\mathbb R^3$	1998	Fabrice Planchon

Works That Cite This (22)

Action	Title	Year	Authors
+	Etude qualitative d'éventuelles singularités dans les équations de Navier-Stokes tridimensionnelles pour un fluide visqueux.	2015	Eugénie Poulon
+	Global well-posedness for 3D Navier–Stokes equations with ill-prepared initial data	2013	Marius Paicu Zhifei Zhang
+	Lack of compactness in the 2D critical Sobolev embedding, the general case	2013	Hajer Bahouri Mohamed Majdoub Nader Masmoudi
+	Stability by rescaled weak convergence for the Navier–Stokes equations	2014	Hajer Bahouri Jean-Yves Chemin Isabelle Gallagher
+ PDF Chat	Global Wellposedness for a Certain Class of Large Initial Data for the 3D Navier–Stokes Equations	2013	Percy Wong
+ PDF Chat	Structure theorems for 2D linear and nonlinear Schrödinger equations	2015	Hajer Bahouri
+	On the well-posedness of 3-D Navier-Stokes-Maxwell system with one slow variable	2021	Gaocheng Yue
+ PDF Chat	Structure theorems for 2D linear and nonlinear Schrödinger equations	2015	Hajer Bahouri
+	About the possibility of minimal blow up for Navier-Stokes solutions with data in $\dot{H}^s(R^3)$	2015	Eugénie Poulon
+	Evolutionary NS-TKE Model	2014	Tomás Chacón Rebollo Roger Lewandowski

Works Cited by This (54)

Action	Title	Year	Authors
+ PDF Chat	Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces	2005	Marcin Bownik Kwok‐Pun Ho
+ PDF Chat	Asymptotic behavior of global solutions to the Navier–Stokes equations in $\mathbb R^3$	1998	Fabrice Planchon
+	Description du défaut de compacité de l'injection de Sobolev sur le groupe de Heisenberg	2008	Jamel Benameur
+	An inverse theorem for the bilinear $L^2$ Strichartz estimate for the wave equation	2009	Terence Tao
+	Theory of function spaces	1983	Hans Triebel
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+ PDF Chat	Profile decompositions for critical Lebesgue and Besov space embeddings	2010	Gabriel S. Koch
+	Convergence of solutions of H-systems or how to blow bubbles	1985	H. Brézis Jean‐Michel Coron
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato
+	Profile decomposition for the wave equation outside a convex obstacle	2001	Isabelle Gallagher Patrick Gérard