Global existence and exponential decay of the 2D density-dependent Bénard system with vacuum in bounded domain

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

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Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
Regularity results for two-dimensional flows of multiphase viscous fluids
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Uniform global strong solutions of the 2D density-dependent incompressible magnetic Bénard problem in a bounded domain
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Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation
Exponential decay of Bénard convection problem with surface tension
Global well-posedness of incompressible Bénard problem with zero dissipation or zero thermal diffusivity
Rayleigh-Bénard convection: dynamics and structure in the physical space
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Il principio di minimo e sue applicazioni alle equazioni funzionali
Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
Global well-posedness to the Cauchy problem of 2D nonhomogeneous Bénard system with large initial data and vacuum
The zero limit of thermal diffusivity for the 2D density‐dependent Boussinesq equations with vacuum

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