The local well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition
DOI10.1137/23M1608938zbMATH Open1548.3526MaRDI QIDQ6621315
Timur Yastrzhembskiy, Hongjie Dong, Yan Guo, Zhimeng Ouyang
Publication date: 18 October 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
collisional plasmaspecular reflection boundary conditionkinetic Fokker-Planck equationdiv-curl estimaterelativistic Vlasov-Maxwell-Landau system
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Hypoelliptic equations (35H10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Vlasov equations (35Q83) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)
Cites Work
- Title not available (Why is that?)
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- BV-regularity of the Boltzmann equation in non-convex domains
- Non-isothermal boundary in the Boltzmann theory and Fourier law
- Global solutions to the relativistic Landau-Maxwell system in the whole space
- Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators with variable coefficients
- Formation and propagation of discontinuity for Boltzmann equation in non-convex domains
- Decay and continuity of the Boltzmann equation in bounded domains
- The Fokker-Planck equation with absorbing boundary conditions
- An \(L^2\) to \(L^\infty\) framework for the Landau equation
- Stability of the relativistic Maxwellian in a collisional plasma
- Global existence for the Vlasov-Poisson system in bounded domains
- Abstract time-dependent transport equations
- Sobolev-Morrey spaces related to an ultraparabolic equation
- Stationary solutions to the Boltzmann equation in the hydrodynamic limit
- Singular solutions of the Vlasov-Maxwell system on a half line
- The Landau equation with the specular reflection boundary condition
- Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations
- Kinetic Fokker-Planck and Landau equations with specular reflection boundary condition
- The Vlasov-Poisson-Landau system with the specular-reflection boundary condition
- Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form
- Optimal large-time decay of the relativistic Landau-Maxwell system
- Large-time behavior of the two-species relativistic Landau-Maxwell system in \(\mathbb{R}_x^3\)
- Global weak solutions of the Vlasov-Maxwell system with boundary conditions
- Global strong solutions of the Vlasov-Poisson-Boltzmann system in bounded domains
- Estimating ∇u by divu and curlu
- Vector Calculus and the Topology of Domains in 3-Space
- Regularity for the Vlasov--Poisson System in a Convex Domain
- Lp-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
- Bounded solutions for the Boltzmann equation
- Lipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary condition
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