Regularity of weak solutions for the relativistic Vlasov–Klein–Gordon system

DOI10.1080/00036811.2023.2185232zbMATH Open1539.3527MaRDI QIDQ6549314

Meixia Xiao

Publication date: 3 June 2024

Published in: Applicable Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83)

Cites Work

• Absence of shocks in an initially dilute collisionless plasma
• Global existence for the relativistic Vlasov-Maxwell system with nearly neutral initial data
• Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data
• Global weak solutions of the relativistic Vlasov-Klein-Gordon system
• Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system
• Global existence of classical solutions to the damped Vlasov–Klein–Gordon equations with small data
• High velocity particles in a collisionless plasma
• Spherically symmetric steady states of galactic dynamics in scalar gravity
• Regularity in kinetic formulations via averaging lemmas
• The Einstein-Vlasov system/kinetic theory
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