Global weak solutions to the three-dimensional inviscid Boussinesq system in the presence of magnetic field

DOI10.1007/s00033-019-1217-9zbMath1433.35289OpenAlexW2983050327MaRDI QIDQ2286246

Yanyan Li

Publication date: 10 January 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1217-9

zbMATH Keywords

weak solutionsBoussinesq systemconvex integration

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Initial value problems for PDEs of mixed type (35M11)

Related Items (8)

Global existence and decay estimates of solutions to the MHD–Boussinesq system with stratification effects* ⋮ Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping ⋮ Decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium ⋮ On the stability of hydrostatic equilibrium in a uniform magnetic field with partial dissipation ⋮ Asymptotic regularity for the generalized MHD‐Boussinesq equations ⋮ Stability of hydrostatic equilibrium in a uniform magnetic field with mixed partial dissipation ⋮ Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation ⋮ Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation

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