Global regularity results for the 2D magnetic Bénard problem with fractional dissipation
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Publication:2318079
DOI10.1007/s00021-019-0444-3zbMath1421.35291OpenAlexW2953928447MaRDI QIDQ2318079
Publication date: 13 August 2019
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-019-0444-3
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free convection (76R10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)
Related Items (7)
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation ⋮ Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects* ⋮ Large time behavior of weak solutions to d-dimensional micropolar Rayleigh-Bénard problem ⋮ Stability of the 2D anisotropic micropolar Rayleigh–Bénard problem with one direction dissipation ⋮ Uniform regularity estimates of solutions to three dimensional incompressible magnetic Bénard equations with Navier-slip type boundary conditions in half space ⋮ Stability of hydrostatic equilibrium for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity ⋮ Global regularity for the 2D micropolar Rayleigh-Bénard problem with partial dissipation
Cites Work
- Unnamed Item
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- Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation
- Regularity criteria for the 2D Boussinesq equations with supercritical dissipation
- On global regularity of 2D generalized magnetohydrodynamic equations
- Global Cauchy problem of 2D generalized MHD equations
- Global well-posedness for the 2D inviscid Bénard system with fractional diffusivity and Yudovich's type data
- The generalized incompressible Navier-Stokes equations in Besov spaces
- Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
- Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion
- Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation
- On two-dimensional magnetic Bénard problem with mixed partial viscosity
- Theory of function spaces II
- Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Nonlinear stability of the magnetic Bénard problem via a generalized energy method
- Hydrodynamics in Besov spaces
- Generalized MHD equations.
- Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
- On the global regularity of the 2D critical Boussinesq system with \(\alpha > 2/3\)
- Global well-posedness of the viscous Boussinesq equations
- A maximum principle applied to quasi-geostrophic equations
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications
- Global Cauchy problem for a 2D magnetic Bénard problem with zero thermal conductivity
- A global regularity result for the 2D Boussinesq equations with critical dissipation
- Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation
- Global regularity of 2D generalized MHD equations with magnetic diffusion
- A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
- Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation
- Well-posedness of the Cauchy problem for the fractional power dissipative equations
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
- Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows
- A new approach to energy theory in the stability of fluid motion
- Vorticity and Incompressible Flow
- Global regularity of generalized magnetic Benard problem
- Some mathematical questions related to the mhd equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation
- Commutator estimates and the euler and navier-stokes equations
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Local well-posedness and blow up criterion for the Inviscid Boussinesq system in H\"{o}lder spaces
- The Two-Dimensional Incompressible Boussinesq Equations with General Critical Dissipation
- The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
- Regularity Criteria for the Generalized MHD Equations
- Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
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