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

Piotr Biler and Wojbor Woyczyński

Physica A: Statistical Mechanics and its Applications, 2007, vol. 379, issue 2, 523-533

Abstract: 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.

Keywords: Nonlocal diffusion–convection; Interacting particles; Self-consistent field; Mean field equation; Collapse of solutions (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:379:y:2007:i:2:p:523-533

DOI: 10.1016/j.physa.2007.02.083

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