Oscillatory traveling wave solutions for coagulation equations

DOI10.1090/QAM/1478zbMath1375.35554arXiv1702.02437OpenAlexW2613424457MaRDI QIDQ4595131

Juan J. L. Velazquez, Barbara Niethammer

Publication date: 28 November 2017

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02437

zbMATH Keywords

traveling wavesSmoluchowski's coagulation equationkernels with homogeneity one

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stability theory for integral equations (45M10) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• A uniqueness result for self-similar profiles to Smoluchowski's coagulation equation revisited
• Asymptotics of self-similar solutions to coagulation equations with product kernel
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• On self-similarity and stationary problem for fragmentation and coagulation models.
• Scaling solutions of Smoluchowski's coagulation equation
• Existence of self-similar solutions to Smoluchowski's coagulation equation
• Instabilities and oscillations in coagulation equations with kernels of homogeneity one
• Approach to self‐similarity in Smoluchowski's coagulation equations

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