Global well‐posedness of 3D incompressible inhomogeneous magnetohydrodynamic equations

DOI10.1002/mma.8679MaRDI QIDQ6182255

Chenyin Qian, Tian Huang

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

well-posednessBesov spacesLittlewood-Paley theoryinhomogeneous MHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• On the global existence of 3-D magneto-hydrodynamic system in the critical spaces
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• Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density
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• Global existence for an inhomogeneous fluid
• Local and global well-posedness results for flows of inhomogeneous viscous fluids
• Global well-posedness for 3D incompressible inhomogeneous asymmetric fluids with density-dependent viscosity
• Global well-posedness of 3D incompressible inhomogeneous Navier-Stokes equations
• A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density
• Fourier Analysis and Nonlinear Partial Differential Equations
• Density-dependent incompressible viscous fluids in critical spaces
• On the well‐posedness of the Cauchy problem for an MHD system in Besov spaces

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