A model of a radially symmetric cloud of self-attracting particles

Tadeusz Nadzieja

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Displaying similar documents to “A model of a radially symmetric cloud of self-attracting particles”

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

Piotr Biler, Tadeusz Nadzieja (1993)

Colloquium Mathematicae

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We study the existence of stationary and evolution solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles.

A class of nonlocal parabolic problems occurring in statistical mechanics

Piotr Biler, Tadeusz Nadzieja (1993)

Colloquium Mathematicae

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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.

Growth and accretion of mass in an astrophysical model

Piotr Biler (1995)

Applicationes Mathematicae

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We study asymptotic behavior of radial solutions of a nonlocal Fokker-Planck equation describing the evolution of self-attracting particles. In particular, we consider stationary solutions in balls and in the whole space, self-similar solutions defined globally in time, blowing up self-similar solutions, and singularities of solutions that blow up in a finite time.