Global regularity of the 2D anisotropic magnetic Bénard system with vertical dissipation

DOI10.1016/j.nonrwa.2018.03.007zbMath1394.35382OpenAlexW2797000181MaRDI QIDQ1644323

Y. Aharonov

Publication date: 21 June 2018

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.03.007

zbMATH Keywords

global regularityMHD equationsBénard system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Free convection (76R10) Classical solutions to PDEs (35A09)

Related Items

Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects* ⋮ Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity ⋮ Well-posedness for nonhomogeneous magnetic Bénard system with zero resistivity ⋮ Stability and exponential decay of the magnetic Bénard system with horizontal dissipation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness of the 2D Boussinesq equations with vertical dissipation
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• On two-dimensional magnetic Bénard problem with mixed partial viscosity
• Global regularity results for the 2D Boussinesq equations with partial dissipation
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
• The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
• Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation
• Rayleigh-Bénard convection: dynamics and structure in the physical space
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Global well-posedness for the two-dimensional nonlinear Boussinesq equations with vertical dissipation
• A new approach to energy theory in the stability of fluid motion
• GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO
• Global well‐posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity
• Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion
• Model dynamics and vertical collapse in decaying strongly stratified flows