Cauchy problem for the Vlasov-Poisson-Boltzmann system
From MaRDI portal
Publication:859748
DOI10.1007/s00205-006-0009-5zbMath1104.76086OpenAlexW2046402953MaRDI QIDQ859748
Tong Yang, Huijiang Zhao, Hongjun Yu
Publication date: 18 January 2007
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-006-0009-5
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
Related Items
The Boltzmann equation with frictional force, Incompressible Euler–Poisson limit of the Vlasov–Poisson–Boltzmann system, Diffusion limit of the Vlasov-Poisson-Boltzmann system, From the Vlasov-Poisson-Boltzmann System to the Vlasov-Poisson-Landau System with Coulomb Potential, Stability of the equilibrium to the Vlasov-Poisson-Boltzmann system with non-constant background charge, Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system with given magnetic field, The same class of stationary solutions to some multidimensional kinetic systems with extensive background density, Global classical solutions to the initial value problem for the relativistic Landau equation, Time-asymptotic behavior of the Vlasov-Poisson-Boltzmann system near vacuum, The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials, Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system, Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system with hard potentials, The Vlasov-Poisson-Boltzmann system without angular cutoff, Global existence and decay of solutions for hard potentials to the Fokker-Planck-Boltzmann equation without cut-off, On the Cauchy problem of the Vlasov-Poisson-BGK system: global existence of weak solutions, Stability of the Rarefaction Wave of the Vlasov--Poisson--Boltzmann System, Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system, Green's function and pointwise behaviors of the one-dimensional modified Vlasov-Poisson-Boltzmann system, Global weak solutions to the cometary flow equation with a self-generated electric field, The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case, Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system, The Vlasov-Poisson-Boltzmann system with angular cutoff for soft potentials, The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity, Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System, The Vlasov-Poisson-Boltzmann system for non-cutoff hard potentials, Uniform stability estimate for the Vlasov-Poisson-Boltzmann system, Global solutions to the Vlasov-Poisson-Boltzmann system with weak angular singularity, Global strong solutions to the Vlasov-Poisson-Boltzmann system with soft potential in a bounded domain, Spectrum structure and optimal decay rate of the relativistic Vlasov-Poisson-Landau system, L 2-stability of the Vlasov-Maxwell-Boltzmann system near global Maxwellians, On the trend to equilibrium for the Vlasov-Poisson-Boltzmann equation, THE BOLTZMANN–ENSKOG EQUATION NEAR MAXWELLIANS, Decay of the Boltzmann equation in spatial critical Besov space, Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\), On the Cauchy problem of the Boltzmann and Landau equations with soft potentials, Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system, Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system, Spectrum analysis for the Vlasov-Poisson-Boltzmann system, Stability of contact discontinuity for the two-species Vlasov–Poisson–Boltzmann system, Green's function and pointwise space-time behaviors of the Vlasov-Poisson-Boltzmann system, Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space, Stability of the Vlasov-Poisson-Boltzmann system in \(\mathbb R^3\), Large time behavior of the Vlasov-Poisson-Boltzmann system, Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system, Global Strong Solution and Incompressible Navier--Stokes--Fourier--Poisson Limit of the Vlasov--Poisson--Boltzmann System
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
- Energy method for Boltzmann equation
- On a boundary layer problem for the nonlinear Boltzmann equation
- The Boltzmann equation and its applications
- The mathematical theory of dilute gases
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- Nonlinear stability of rarefaction waves for the Boltzmann equation
- Global weak solutions of Vlasov‐Maxwell systems
- Decay of the linearized Boltzmann-Vlasov system
- On long time asymptotics of the vlasov—poisson—boltzmann equation
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
- The Vlasov-Poisson-Boltzmann system near vacuum