Existence results in critical spaces for a system of inhomogeneous MHD
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Publication:2464589
DOI10.5802/ambp.230zbMath1175.76039OpenAlexW2321590384MaRDI QIDQ2464589
Publication date: 2 January 2008
Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AMBP_2007__14_1_103_0
Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Related Items (28)
Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent magnetohydrodynamic equations with vacuum ⋮ On the global existence of 3-D magneto-hydrodynamic system in the critical spaces ⋮ On 2-D Boussinesq equations for MHD convection with stratification effects ⋮ Global well-posedness of 3-D nonhomogeneous incompressible MHD equations with bounded nonnegative density ⋮ On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum ⋮ Global well-posedness for the incompressible MHD equations with variable viscosity and conductivity ⋮ On the global well-posedness of 3-D density-dependent MHD system ⋮ Global existence of strong solutions with vacuum to the multi-dimensional inhomogeneous incompressible MHD equations ⋮ On the Cauchy problem of 3D nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and vacuum ⋮ Regularity criteria for the three-dimensional magnetohydrodynamic equations ⋮ Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density ⋮ Global well-posedness of the 3D incompressible MHD equations with variable density ⋮ Strong solutions to the 2D Cauchy problem of nonhomogeneous magnetohydrodynamic equations with vacuum ⋮ On the non-resistive limit of the 2D Maxwell-Navier-Stokes equations ⋮ A regularity criterion for the density-dependent Hall-magnetohydrodynamics ⋮ Global well-posedness for the 3D viscous nonhomogeneous incompressible magnetohydrodynamic equations ⋮ The global solvability of 3-d inhomogeneous viscous incompressible magnetohydrodynamic equations with bounded density ⋮ Global well-posedness for the incompressible MHD equations with density-dependent viscosity and resistivity coefficients ⋮ Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity ⋮ Global existence and exponential decay of strong solutions for the 3D incompressible MHD equations with density-dependent viscosity coefficient ⋮ Uniform local well-posedness to the density-dependent Navier-Stokes-Maxwell system ⋮ Global well posedness for the Maxwell-Navier-Stokes system in 2D ⋮ Strong solutions to the incompressible magnetohydrodynamic equations ⋮ On the local wellposedness of three-dimensional MHD system in the critical spaces ⋮ Global well-posedness for the density-dependent incompressible magnetohydrodynamic flows in bounded domains ⋮ Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity ⋮ Regularity criteria for the density-dependent Hall-magnetohydrodynamics ⋮ Global solution to the 3D nonhomogeneous incompressible MHD equations with some large initial data
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