Optimal -Control for the Global Cauchy Problem of The Relativistic Vlasov-Poisson System

DOI10.1080/00411450.2011.651032zbMath1459.35354arXiv1011.2265OpenAlexW3105491330MaRDI QIDQ4906396

Brent Young

Publication date: 11 February 2013

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2265

zbMATH Keywords

critical exponentrelativistic Vlasov-Poisson systemtime blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Blow-up in context of PDEs (35B44) Vlasov equations (35Q83)

Related Items (3)

On state feedback control of a class of nonlinear PDE systems in finite dimension ⋮ Landau damping in relativistic plasmas ⋮ On linear Landau damping for relativistic plasmas via Gevrey regularity

Cites Work

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• The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system
• On symmetric solutions of the relativistic Vlasov-Poisson system
• The Thomas-Fermi theory of atoms, molecules and solids
• Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system
• On the relativistic Vlasov-Poisson system
• Global existence and nonlinear stability for the relativistic Vlasov-Poisson system in the gravitational case

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