Generic global solutions of the relativistic Vlasov-Maxwell system of plasma physics

1990/12/01 by Gerhard Rein · 8 citations
Mathematics · #Advanced Mathematical Physics Problems #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · doi:10.1007/bf02097656

Citations

• Absence of shocks in an initially dilute collisionless plasma
• Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
• The classical limit of the relativistic Vlasov-Maxwell system
• Singularity formation in a collisionless plasma could occur only at high velocities

Cited by

• Hilbert’s 6th problem: the relativistic version
• Microscopic Foundations of Kinetic Plasma Theory: The Relativistic Vlasov–Maxwell Equations and Their Radiation-Reaction-Corrected Generalization
• Quantum field theory as eigenvalue problem
• Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor
• An introduction to the Einstein-Vlasov system
• Local and Global Existence Theorems for the Einstein Equations. [europepmc]
• Theorems on Existence and Global Dynamics for the Einstein Equations. [europepmc]
• Theorems on Existence and Global Dynamics for the Einstein Equations. [europepmc]