EUDML | Existence and nonexistence of solutions for a model of gravitational interaction of particles, I

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Displaying similar documents to “Existence and nonexistence of solutions for a model of gravitational interaction of particles, I”

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Piotr Biler, Tadeusz Nadzieja (1993)

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We consider parabolic equations with nonlocal coefficients obtained from the Vlasov-Fokker-Planck equations with potentials. This class of equations includes the classical Debye system from electrochemistry as well as an evolution model of self-attracting clusters under friction and fluctuations. The local in time existence of solutions to these equations (with no-flux boundary conditions) and properties of stationary solutions are studied.

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The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part.

Levenshtam, V.B. (2000)

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