A vector field method for massless relativistic transport equations and applications

DOI10.1016/j.jfa.2019.108365zbMath1433.35437arXiv1907.03121OpenAlexW2953585892MaRDI QIDQ2281180

Léo Bigorgne

Publication date: 19 December 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03121

zbMATH Keywords

Vlasov-Poisson systemvector field methodsmall data solutionsmassless relativistic transport equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Special relativity (83A05) Partial differential equations of mathematical physics and other areas of application (35Q99) Gravitational waves (83C35) Vlasov equations (35Q83) Transport equations (35Q49)

Related Items

Stability of vacuum for the Boltzmann equation with moderately soft potentials, Sharp decay estimates for the Vlasov-Poisson and Vlasov-Yukawa systems with small data, An introduction to the relativistic kinetic theory on curved spacetimes, Sharp asymptotic behavior of solutions of the \(3d\) Vlasov-Maxwell system with small data, Decay estimates for the massless Vlasov equation on Schwarzschild spacetimes, Optimal decay estimates for the Vlasov-Poisson system with radiation damping, Asymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matter, Sharp decay estimates for the Vlasov-Poisson system with an external magnetic field

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