Large-time behavior of the two-species relativistic Landau-Maxwell system in \(\mathbb{R}_x^3\)

DOI10.1016/j.jde.2015.04.031zbMath1330.35431OpenAlexW825655316MaRDI QIDQ2355405

Qing-Hua Xiao

Publication date: 23 July 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.04.031

zbMATH Keywords

stabilitytime-decayLandau-Maxwell systemLandau-Poisson system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (5)

Entropy dissipation estimates for the relativistic Landau equation, and applications ⋮ The relativistic Vlasov–Maxwell–Fokker–Planck system in the whole space ⋮ The relativistic Vlasov-Maxwell-Boltzmann system for short range interaction ⋮ Global Well-Posedness of the Relativistic Boltzmann Equation ⋮ The Vlasov-Maxwell-Landau system with Coulomb potential and strong background magnetic field

Cites Work

• The Vlasov-Poisson-Boltzmann system for the whole range of cutoff soft potentials
• Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system
• The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
• Global solutions to the relativistic Landau-Maxwell system in the whole space
• Global smooth dynamics of a fully ionized plasma with long-range collisions
• Negative Sobolev spaces and the two-species Vlasov-Maxwell-Landau system in the whole space
• A revisiting of the \(L^2\)-stability theory of the Boltzmann equation near global Maxwellians
• Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system
• Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
• Stability of the relativistic Maxwellian in a collisional plasma
• \(L ^{2}\)-stability theory of the Boltzmann equation near a global Maxwellian
• The Vlasov-Maxwell-Boltzmann system in the whole space
• The Vlasov-Maxwell-Boltzmann system near Maxwellians
• \(L^1\) stability of the Boltzmann equation for the hard-sphere model
• Decay of the two-species Vlasov-Poisson-Boltzmann system
• Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials
• Optimal large-time decay of the relativistic Landau-Maxwell system
• The Vlasov-Poisson-Boltzmann system with angular cutoff for soft potentials
• The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
• Nonlinear functionals of the Boltzmann equation and uniform stability estimates
• The Vlasov-Poisson-Landau system in \(\mathbb{R}^{3}_{x}\)
• THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS
• The Vlasov-Poisson-Landau system in a periodic box
• Global classical solution of the Vlasov–Maxwell–Landau system near Maxwellians
• Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space
• Dissipative Property of the Vlasov–Maxwell–Boltzmann System with a Uniform Ionic Background
• UNIFORM L²-STABILITY ESTIMATES FOR THE RELATIVISTIC BOLTZMANN EQUATION
• Local existence of solutions to the Landau–Maxwell system
• The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Global Solution and Time Decay of the Vlasov--Poisson--Landau System in $\mathbb{R}^3$
• Almost Exponential Decay Near Maxwellian
• L 2-stability of the Vlasov-Maxwell-Boltzmann system near global Maxwellians
• Uniform Stability and the Propagation of Regularity for the Relativistic Boltzmann Equation

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