Deriving Ohm’s Law from the Vlasov-Maxwell-Boltzmann System
From MaRDI portal
Publication:2948987
DOI10.1007/978-3-319-05254-0_18zbMath1326.35392OpenAlexW324341034MaRDI QIDQ2948987
Publication date: 7 October 2015
Published in: Trends in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-05254-0_18
Magnetohydrodynamics and electrohydrodynamics (76W05) Statistical mechanics of plasmas (82D10) Motion of charged particles (78A35) Vlasov equations (35Q83) Maxwell equations (35Q61) Boltzmann equations (35Q20)
Cites Work
- Solutions of the Vlasov-Maxwell-Boltzmann system with long-range interactions
- Compactness in kinetic transport equations and hypoellipticity
- Ordinary differential equations, transport theory and Sobolev spaces
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
- Hydrodynamic limits: Some improvements of the relative entropy method
- Regularity of the moments of the solution of a transport equation
- \(L^ p\) regularity of velocity averages
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
- Entropy dissipation and long-range interactions
- Velocity averaging in \(L^1\) for the transport equation
- From Boltzmann's equation to the incompressible Navier-Stokes-Fourier system with long-range interactions
- Relative entropy and hydrodynamics of Ginzburg-Landau models
- Global Small Solutions for the Navier–Stokes–Maxwell System
- Global weak solutions of Vlasov‐Maxwell systems
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- On the Boltzmann equation for long-range interactions
- From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II
