From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions

DOI10.1007/s40818-022-00117-6OpenAlexW4213316524WikidataQ114218684 ScholiaQ114218684MaRDI QIDQ2119797

Ning Jiang, Yi-Long Luo

Publication date: 30 March 2022

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04739

zbMATH Keywords

global classical solutionsOhm's lawconvergence for classical solutionstwo-fluid incompressible Navier-Stokes-Fourier-Maxwell systemtwo-species Vlasov-Maxwell-Boltzmann systemuniform energy bounds

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Vlasov equations (35Q83) Maxwell equations (35Q61) Boltzmann equations (35Q20) Diffusive and convective heat and mass transfer, heat flow (80A19) Classical solutions to PDEs (35A09)

Related Items

Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system, Green's function and pointwise behavior of the one-dimensional Vlasov-Maxwell-Boltzmann system, Hydrodynamic limit of the incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law from the Vlasov-Maxwell-Boltzmann system: Hilbert expansion approach, The two-fluid incompressible Navier–Stokes–Maxwell system: Green’s function and optimal decay rate, Asymptotics for the semi-dissipative 2D Boussinesq system, Lagrange multiplier and variational equations in mechanics

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