Colloquium Mathematicum · 1993 · 43 citations · 9 references
Non-local InteractionParabolic EquationsClassical Debye SystemPhysicsNonlocal CoefficientsHyperbolic Conservation LawApplied PhysicsNonlocal Parabolic ProblemsParabolic EquationMicrolocal AnalysisNonlinear Hyperbolic ProblemIntegrable SystemEvolution Equation
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
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