On the spatially homogeneous and isotropic Einstein-Vlasov-Fokker-Planck system with cosmological scalar field

DOI10.3934/krm.2018041zbMath1405.35214arXiv1606.05101OpenAlexW2962964020WikidataQ129774395 ScholiaQ129774395MaRDI QIDQ1715963

Stephen Pankavich, Simone Calogero

Publication date: 29 January 2019

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05101

zbMATH Keywords

asymptotic behaviorblow-upglobal existencecosmological expansionEinstein-Vlasov-Fokker-Planck

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Einstein equations (35Q76) Vlasov equations (35Q83)

Cites Work

• Unnamed Item
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• Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions
• Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system
• Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge
• A vector field method for relativistic transport equations with applications
• Global classical solutions for the ``one and one-half dimensional relativistic Vlasov-Maxwell-Fokker-Planck system
• The surface-symmetric Einstein–Vlasov system with cosmological constant
• Asymptotic behaviour of the Einstein–Vlasov system with a positive cosmological constant
• The Einstein-Vlasov system/kinetic theory
• Global existence of regular solutions for the Vlasov-Poisson-Fokker-Planck system

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