Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation

From MaRDI portal
Publication:710891

DOI10.1016/j.jde.2010.07.008zbMath1200.35228arXiv0904.1536OpenAlexW2963448709MaRDI QIDQ710891

Frédéric Rousset, Taoufik Hmidi, Sahbi Keraani

Publication date: 22 October 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1536



Related Items

Stability of 3D perturbations near a special 2D solution to the rotating Boussinesq equations, Mild ill-posedness in \(L^\infty\) for 2D magnetohydrodynamic system with damping, A regularity criterion for the 3D axisymmetric Boussinesq equations with non-zero swirl, Large time behavior of weak solutions to d-dimensional micropolar Rayleigh-Bénard problem, Global well-posedness for the 2D Euler-Boussinesq-Bénard equations with critical dissipation, Global regularity for 2D Boussinesq equations with partial viscosity in the half plane, Global existence for the 2D anisotropic Bénard equations with partial variable viscosity, Global regularity for the 2D Oldroyd‐B model with fractional dissipation, Global well-posedness and asymptotic behavior of the 3D MHD-Boussinesq equations, Remarks on the global well-posedness of the axisymmetric Boussinesq system with rough initial data, 2D Voigt Boussinesq equations, On the improved blow-up criterion for the 2D zero diffusivity Boussinesq equations with temperature-dependent viscosity, Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation, The stabilizing effect of the temperature on buoyancy-driven fluids, On the global regularity of the 2D Boussinesq equations with fractional dissipation, Boussinesq system with measure forcing, On the two-dimensional Boussinesq equations with temperature-dependent thermal and viscosity diffusions in general Sobolev spaces, Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation, Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion, Global regularity results of the 2D Boussinesq equations with fractional Laplacian dissipation, Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations, Global Regularity for Some Oldroyd‐B Type Models, A time-dependent perturbation solution from a steady state for Marangoni problem, The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion, Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain, Global well-posedness for the 2D Boussinesq equations with partial temperature-dependent dissipative terms, Non-uniqueness in law for the Boussinesq system forced by random noise, Global regularity for the 2D Oldroyd-B model in the corotational case, On the global well-posedness of 2-D Boussinesq system with variable viscosity, Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation, On the global well-posedness for the Boussinesq system with horizontal dissipation, Finite-time singularity formation for strong solutions to the Boussinesq system, Weak martingale solution of stochastic critical Oldroyd-B type models perturbed by pure jump noise, Large deviation principle for the micropolar, magneto-micropolar fluid systems, Initial boundary value problem for 3D Boussinesq system with the thermal damping, Smoothness of Malliavin derivatives and dissipativity of solutions to two-dimensional micropolar fluid system, Global well-posedness of smooth solution to the supercritical SQG equation with large dispersive forcing and small viscosity, On the degenerate Boussinesq equations on surfaces, Global Regularity of NonDiffusive Temperature Fronts for the Two-Dimensional Viscous Boussinesq System, Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion, Strong solutions of stochastic models for viscoelastic flows of Oldroyd type, On global regularity of 2D generalized magnetohydrodynamic equations, Nonlinear maximum principles for dissipative linear nonlocal operators and applications, Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl, Global regularity results for the 2D Boussinesq equations with partial dissipation, Global Cauchy problem of 2D generalized magnetohydrodynamic equations, Global well-posedness for the Euler-Boussinesq system with axisymmetric data, On the global well-posedness of a class of Boussinesq-Navier-Stokes systems, Global well-posedness for 2D Boussinesq system with general supercritical dissipation, On the global well-posedness of the axisymmetric viscous Boussinesq system in critical Lebesgue spaces, On the global solvability of the axisymmetric Boussinesq system with critical regularity, On the self-similar solutions of the 3D Euler and the related equations, Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation, The 2D Boussinesq equations with logarithmically supercritical velocities, The 2D regularized incompressible Boussinesq equations with general critical dissipations, Global regularity of generalized magnetic Benard problem, Global regularity for a two-dimensional nonlinear Boussinesq system, Small global solutions to the damped two-dimensional Boussinesq equations, Global well-posedness for a model of 2D temperature-dependent Boussinesq equations without diffusivity, Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation, Weak solutions and invariant measures of stochastic Oldroyd-B type model driven by jump noise, Global well-posedness for the 2D fractional Boussinesq equations in the subcritical case, Generalized 2D Euler-Boussinesq equations with a singular velocity, Global regularity for 2D fractional magneto-micropolar equations, Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity, Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature, Regularity results for the 2D critical Oldroyd-B model in the corotational case, The Littlewood–Paley decomposition for periodic functions and applications to the Boussinesq equations, Gibbsian dynamics and ergodicity of stochastic micropolar fluid system, Well-posedness and time-decay for compressible viscoelastic fluids in critical Besov space, On the global well-posedness of 3-D Boussinesq system with partial viscosity and axisymmetric data, Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation, Remarks on global regularity of the 2D Boussinesq equations with fractional dissipation, On the global well-posedness of a generalized 2D Boussinesq equations, Boussinesq system with partial viscous diffusion or partial thermal diffusion forced by a random noise, Sharp \(L^{p}\) estimates for singular transport equations, Remarks on the improved regularity criterion for the 2D Euler-Boussinesq equations with supercritical dissipation, Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion, Global well-posedness for the 2D dispersive SQG equation and inviscid Boussinesq equations, Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity, On the regularity criteria of the 2D Boussinesq equations with partial dissipation, A global regularity result for the 2D Boussinesq equations with critical dissipation, Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity, Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation, Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum, Optimal decay estimates for 2D Boussinesq equations with partial dissipation, Global solvability to the high-dimensional inhomogeneous Boussinesq equations with zero thermal diffusion, A remark on the Lipschitz estimates of solutions to Navier-Stokes equations, Stability near hydrostatic equilibrium to the three-dimensional Boussinesq equations with partial dissipation, Global small solutions to a tropical climate model without thermal diffusion, On the regularity criterion for the 2D Boussinesq equations involving the temperature, Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation, Global well-posedness and asymptotic behavior for the 2D Boussinesq system with variable viscosity, On the profiles of locally self-similar solutions for the 2D inviscid Boussinesq equations, Global regularity for the 2D Boussinesq equations with temperature-dependent viscosity, Global existence and asymptotic stability of 3D generalized magnetohydrodynamic equations, On the blowup criteria and global regularity for the non-diffusive Boussinesq equations with temperature-dependent viscosity coefficient, Blow-up criterion of smooth solutions for the Boussinesq equations, Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation, On 3D Hall-MHD equations with fractional Laplacians: global well-posedness, The regular vortex patch problem for stratified Euler equations with critical fractional dissipation, Global martingale solution for the stochastic Boussinesq system with zero dissipation, Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation, Stability of stationary solutions to 2D Boussinesq equations with partial dissipation on a flat strip, Global smooth solution to the 2D Boussinesq equations with fractional dissipation, A note on global regularity results for 2D Boussinesq equations with fractional dissipation, Global regularity results for the 2D magnetic Bénard problem with fractional dissipation, Global regularity for the 2D micropolar Rayleigh-Bénard problem with partial dissipation, Global regularity results for the 2D Boussinesq equations and micropolar equations with partial dissipation, On the global well-posedness of 3-D Boussinesq system with variable viscosity, The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain, On the global regularity of \(N\)-dimensional generalized Boussinesq system., Large time dynamics of 2D semi-dissipative Boussinesq equations, Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data



Cites Work