Global well-posedness and large time behavior of classical solutions to the Vlasov-Fokker-Planck and magnetohydrodynamics equations

DOI10.1016/j.jde.2016.11.020zbMath1354.35156OpenAlexW2554779006MaRDI QIDQ729974

Peng Jiang

Publication date: 22 December 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.11.020

zbMATH Keywords

rate of convergenceglobal well-posednessmagnetohydrodynamicsVlasov-Fokker-Planck equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Rate of convergence, degree of approximation (41A25) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

Related Items (10)

Classical solutions of the 3D compressible fluid-particle system with a magnetic field ⋮ Large time behavior of global strong solutions to a two-phase model with a magnetic field ⋮ Global well-posedness and decay estimates of strong solutions to a two-phase model with magnetic field ⋮ Vanishing resistivity limit of one-dimensional two-phase model with magnetic field ⋮ Global Weak Solutions for Compressible Navier-Stokes-Vlasov-Fokker-Planck System ⋮ Global well-posedness of strong solutions to a two-phase model with magnetic field for large oscillations in three dimensions ⋮ Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD ⋮ Convergence rate of solutions toward stationary solutions to a two-phase model with magnetic field in a half line ⋮ Strong solutions to a fluid-particle interaction model with magnetic field in \(\mathbb{R}^2\) ⋮ Hydrodynamic limit for the inhomogeneous incompressible Navier-Stokes-Vlasov equations

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