Singularity formation in a collisionless plasma could occur only at high velocities

From MaRDI portal
Publication:1077627

DOI10.1007/BF00250732zbMath0595.35072MaRDI QIDQ1077627

Walter A. Strauss, Robert T. Glassey

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)




Related Items

The classical limit of the relativistic Vlasov-Maxwell systemGlobal weak solutions of the Vlasov-Maxwell system with boundary conditionsAsymptotic stability of the relativistic MaxwellianThe entropy conservation and energy conservation for the relativistic Vlasov-Klein-Gordon systemGlobal Existence for the Vlasov-Poisson System with Steady Spatial AsymptoticsGlobal solution of the relativistic Vlasov-Maxwell-Chern-Simons systemMicroscopic derivations of Vlasov equationsThe non-relativistic limit of the Vlasov-Maxwell system with uniform macroscopic boundsGravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov systemLocal existence and uniqueness theory of the Vlasov-Maxwell systemAbsence of shocks in an initially dilute collisionless plasmaNonlinear stability of a spatially symmetric solution of the relativistic Poisson-Vlasov equationSingular solutions of the Vlasov-Maxwell system on a half lineMagnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulusThe Einstein-Vlasov system in maximal areal coordinates-local existence and continuationMultipole radiation in a collisionless gas coupled to electromagnetism or scalar gravitationAnalysis of a particle method for the one‐dimensional Vlasov‐Maxwell systemGlobal weak solutions for the Landau-Lifshitz-Gilbert-Vlasov-Maxwell system coupled via emergent electromagnetic fieldsOn propagation of higher space regularity for nonlinear Vlasov equationsGlobal existence for the relativistic Vlasov-Maxwell system with nearly neutral initial dataPropagation of regularity and long time behavior of \(3D\) Massive relativistic transport equation I: Vlasov-Nordström systemGlobal classical solutions to the 3D Nordström-Vlasov systemUniform lifetime for classical solutions to the hot, magnetized, relativistic Vlasov Maxwell systemThree new results on continuation criteria for the 3D relativistic Vlasov-Maxwell systemDispersion estimates for the two-dimensional Vlasov-Yukawa system with small dataLipschitz continuous solutions of the Vlasov-Maxwell systems with a conductor boundary conditionCompressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann systemA new continuation criterion for the relativistic Vlasov-Maxwell systemGlobal Existence and Increased Spatial Decay for the Radial Vlasov‐Poisson System with Steady Spatial AsymptoticsSolutions of the 2D radially symmetric Vlasov-Maxwell system with an initial focusing phaseOn global classical solutions of the three dimensional non-relativistic Vlasov-Darwin systemGlobal classical solutions and the classical limit of the non-relativistic Vlasov-Darwin system with small initial dataMicroscopic foundations of kinetic plasma theory: the relativistic Vlasov-Maxwell equations and their radiation-reaction-corrected generalizationOn global classical limit of the (relativistic) Vlasov-Maxwell systemEnergy conservation of the DiPerna-Lions solutions to Vlasov-Maxwell systemsOn the Lagrangian structure of transport equations: Relativistic Vlasov systemsUniqueness of the compactly supported weak solutions of the relativistic Vlasov-Darwin systemSymmetric plasmas and their decayHigh velocity particles in a collisionless plasmaCombined mean field limit and non-relativistic limit of Vlasov–Maxwell particle system to Vlasov–Poisson systemA one-dimensional kinetic model of plasma dynamics with a transport fieldHot Plasma in a Container---an Optimal Control ProblemStationary voltage current characteristics of a plasmaClassical solvability of the relativistic Vlasov-Maxwell system with bounded spatial densityPost-Newtonian Approximation of the Vlasov–Nordström SystemWeak solutions for the Vlasov-Poisson initial-boundary value problem with bounded electric fieldSeparated characteristics and global solvability for the one and one-half dimensional Vlasov Maxwell systemGeneric global classical solutions of the Vlasov-Fokker-Planck-Poisson system in three dimensionsLong time estimates for the Vlasov-Maxwell system in the non-relativistic limitGlobal existence of classical solutions to the damped Vlasov–Klein–Gordon equations with small dataHigher regularity of the ``tangential fields in the relativistic Vlasov-Maxwell systemHigh-electric-field limit for the Vlasov-Maxwell-Fokker-Planck systemFinite speed propagation of the solutions for the relativistic Vlasov-Maxwell systemOn the controllability of the relativistic Vlasov-Maxwell systemGlobal existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial dataMild solutions for the relativistic Vlasov-Maxwell system for laser-plasma interactionMass and spin renormalization in Lorentz electrodynamicsOn global smooth solutions to the 3D Vlasov-Nordström systemNonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell systemGlobal existence for the Vlasov-Poisson system in bounded domainsUnnamed ItemAsymptotic behavior of weak solutions for the relativistic Vlasov-Maxwell equations with large light speedOn the 3D relativistic Vlasov-Maxwell system with large Maxwell fieldThe Vlasov-Maxwell-Fokker-Planck system in two space dimensionsThe Einstein-Vlasov system/kinetic theoryGlobal Hilbert expansion for the relativistic Vlasov-Maxwell-Boltzmann systemStable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson systemUnnamed ItemA note on ill-posedness of the Cauchy problem for Heisenberg wave mapsEnergy-conserving discontinuous Galerkin methods for the Vlasov-Maxwell systemStrichartz estimates and moment bounds for the relativistic Vlasov-Maxwell systemThe screened Poisson-Vlasov system with infinite charge and vanishing screeningSteady states of the Vlasov-Maxwell systemGlobal magnetic confinement for the 1.5D Vlasov-Maxwell systemGlobal classical solutions for the ``one and one-half dimensional relativistic Vlasov-Maxwell-Fokker-Planck systemUnnamed ItemYet another criterion for global existence in the 3D relativistic Vlasov-Maxwell systemThe Vlasov limit for a system of particles which interact with a wave fieldOn Classical Solutions of the Nordström-Vlasov SystemThe Vlasov Poisson System with Steady Spatial AsymptoticsA post-Newtonian expansion including radiation damping for a collisionless plasmaOn global classical solutions of the three dimensional relativistic Vlasov-Darwin systemNonlinear Instability of Vlasov--Maxwell Systems in the Classical and Quasineutral LimitsGeneric global solutions of the relativistic Vlasov-Maxwell system of plasma physicsThe nonrelativistic limit of relativistic Vlasov–Maxwell systemAnalysis of bifurcation points and nontrivial branches of solutions to the stationary Vlasov-Maxwell systemPropagation of regularity and long time behavior of the \(3D\) Massive relativistic transport equation. II: Vlasov-Maxwell systemControl of velocities generated in a two—dimensional collisionless plasma with symmetryRegularity of weak solutions for the relativistic Vlasov–Maxwell systemOptimal control of the two-dimensional Vlasov-Maxwell systemA toy model for the relativistic Vlasov-Maxwell systemGlassey-Strauss representation of Vlasov-Maxwell systems in a half spaceThe Boltzmann-Grad limit for the Lorentz gas with a Poisson distribution of obstaclesLow Dimensional Born-Infeld Equations Coupled with a Collisionless Matter ModelA rigorous stability result for the Vlasov-Poisson system in three dimensionsGlobal existence and nonrelativistic limit for the Vlasov-Maxwell-Chern-Simons systemOn symmetric solutions of the relativistic Vlasov-Poisson systemOn Nearly Homogeneous States in Collisionless PlasmaDiperna-Lions flow for relativistic particles in an electromagnetic field



Cites Work