A class of nonlocal parabolic problems occurring in statistical mechanics
Biler, Piotr ; Nadzieja, Tadeusz
Colloquium Mathematicae, Tome 66 (1993), p. 131-145 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:210226 
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     author = {Piotr Biler and Tadeusz Nadzieja},
     title = {A class of nonlocal parabolic problems occurring in statistical mechanics},
     journal = {Colloquium Mathematicae},
     volume = {66},
     year = {1993},
     pages = {131-145},
     zbl = {0818.35046},
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Biler, Piotr; Nadzieja, Tadeusz. A class of nonlocal parabolic problems occurring in statistical mechanics. Colloquium Mathematicae, Tome 66 (1993) pp. 131-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv66i1p131bwm/

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