Weak solutions to the Cauchy problem for the diffusive discrete coagulation--fragmentation system.

DOI10.1016/j.jmaa.2003.08.022zbMath1039.35051OpenAlexW2032965906MaRDI QIDQ1425123

Dariusz Wrzosek

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.08.022

zbMATH Keywords

global weak solutionweak and strong compactness arguments

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic systems (35K45)

Related Items (6)

Smoothness of moments of the solutions of discrete coagulation equations with diffusion ⋮ Pseudodifferential operators with non-regular operator-valued symbols ⋮ Applications of improved duality lemmas to the discrete coagulation-fragmentation equations with diffusion ⋮ Pointwise bounds for the solutions of the Smoluchowski equation with diffusion ⋮ Moment bounds for the Smoluchowski equation and their consequences ⋮ Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion

Cites Work

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• The Becker-Döring model with diffusion. I. Basic properties of solutions
• A nonlocal coagulation-fragmentation model
• Mass-conserving solutions to the discrete coagulation-fragmentation model with diffusion

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