General nonlocal diffusion–convection mean field models: Nonexistence of global solutions

We consider model equations for the self-consistent field for interacting particles which feature general diffusion operators in canonical and microcanonical setting. A result on the nonexistence of solutions defined globally in time is proved.

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Year of publication:	2007
Authors:	Biler, Piotr ; Woyczyński, Wojbor
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 379.2007, 2, p. 523-533
Publisher:	Elsevier
Subject:	Nonlocal diffusion–convection \| Interacting particles \| Self-consistent field \| Mean field equation \| Collapse of solutions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011060597