Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics

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dc.creatorDolbeault, Jean
dc.creatorRein, Gerhard
dc.date1999-10-07
dc.date.accessioned2026-07-07T05:31:05Z
dc.date.available2026-07-07T05:31:05Z
dc.descriptionWe investigate rescaling transformations for the Vlasov-Poisson and Euler-Poisson systems and derive in the plasma physics case Lyapunov functionals which can be used to analyze dispersion effects. The method is also used for studying the long time behaviour of the solutions and can be applied to other models in kinetic theory (2-dimensional symmetric Vlasov-Poisson system with an external magnetic field), in fluid dynamics (Euler system for gases) and in quantum physics (Schrödinger-Poisson system, nonlinear Schrödinger equation).
dc.description34 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9910041
dc.identifierhttp://arxiv.org/abs/math/9910041
dc.identifierMathematical Models and Methods in Applied Sciences Vol. 11, No. 3, 407 - 432 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79218
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35B40; 82C40
dc.titleTime-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics
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