FROM THE NONLOCAL TO THE LOCAL DISCRETE DIFFUSIVE COAGULATION EQUATIONS

DOI10.1142/S021820250200201XzbMath1036.35090MaRDI QIDQ4798999

Dariusz Wrzosek, Philippe Laurençot

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

nonlocal interactionsdiffusion Smoluchowski equations

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (5)

The discrete diffusive coagulation-fragmentation equations with scattering ⋮ FROM THE MATHEMATICAL KINETIC THEORY TO MODELLING COMPLEX SYSTEMS IN APPLIED SCIENCES ⋮ The modelling of political dynamics by generalized kinetic (Boltzmann) models. ⋮ MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION ⋮ Convergence of Stochastic Particle Systems Undergoing Advection and Coagulation

Cites Work

• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• Existence of gelling solutions for coagulation-fragmentation equations
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Coagulation-fragmentation processes
• The continuous coagulation-fragmentation equations with diffusion
• Existence of solutions to coagulation-fragmentation systems with diffusion
• Smoluchowski's theory of coagulation in colloids holds rigorously in the Boltzmann-Grad-limit
• NONLOCAL BILINEAR EQUATIONS: EQUILIBRIUM SOLUTIONS AND DIFFUSIVE LIMIT

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