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

Article ID Journal Published Year Pages File Type
978212 Physica A: Statistical Mechanics and its Applications 2007 11 Pages PDF
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
Interacting particlesSelf-consistent fieldMean field equation
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Preview
General nonlocal diffusion-convection mean field models: Nonexistence of global solutions
Authors
Piotr Biler, Wojbor Woyczyński,
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Journal
Physica A: Statistical Mechanics and its Applications
Journal: Physica A: Statistical Mechanics and its Applications
Related Categories
Interacting particles
Self-consistent field
Mean field equation
Algebra and Number Theory
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Discrete Mathematics and Combinatorics
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Mathematical Physics
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