Geodesic
A class of nonlocal parabolic problems occurring in statistical mechanics
Colloquium Mathematicum, Tome 66 (1993) no. 1, pp. 131-145.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm-66-1-131-145
Keywords: nonlinear boundary conditions, stationary solutions, existence of solutions, parabolic-elliptic system

Piotr Biler 1 ; Tadeusz Nadzieja 1

1 
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Piotr Biler; Tadeusz Nadzieja. A class of nonlocal parabolic problems occurring in statistical mechanics. Colloquium Mathematicum, Tome 66 (1993) no. 1, pp. 131-145. doi : 10.4064/cm-66-1-131-145. http://geodesic.mathdoc.fr/articles/10.4064/cm-66-1-131-145/

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