Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system

DOI10.1090/S0894-0347-07-00579-6zbMath1206.82092OpenAlexW2008372352MaRDI QIDQ3058261

Pierre Raphaël, Mohammed Lemou, Florian Méhats

Publication date: 19 November 2010

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-07-00579-6

zbMATH Keywords

modulation theoryVlasov-Poisson equationsstellar physicsvirial lawblow-up dynamicsequations of the type of the nonlinear Schrödinger equationplasmaphysicsrelativistic gravitational kinetic equations

Mathematics Subject Classification ID

Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) NLS equations (nonlinear Schrödinger equations) (35Q55) Transport processes in time-dependent statistical mechanics (82C70) PDEs in connection with relativity and gravitational theory (35Q75) Galactic and stellar dynamics (85A05)

Related Items (15)

Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations ⋮ Kinetic description of stable white dwarfs ⋮ On propagation of higher space regularity for nonlinear Vlasov equations ⋮ Relative equilibria in continuous stellar dynamics ⋮ Decay estimates for the \(3D\) relativistic and non-relativistic Vlasov-Poisson systems ⋮ Scattering map for the Vlasov-Poisson system ⋮ A new variational approach to the stability of gravitational systems ⋮ Optimal -Control for the Global Cauchy Problem of The Relativistic Vlasov-Poisson System ⋮ Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems ⋮ A class of dust-like self-similar solutions of the massless Einstein-Vlasov system ⋮ The Einstein-Vlasov system/kinetic theory ⋮ A vector field method for massless relativistic transport equations and applications ⋮ Landau damping in relativistic plasmas ⋮ Stable Ground States for the Relativistic Gravitational Vlasov–Poisson System ⋮ On linear Landau damping for relativistic plasmas via Gevrey regularity

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