A uniqueness result for self-similar profiles to Smoluchowski's coagulation equation revisited

DOI10.1007/s10955-016-1553-5zbMath1356.82034OpenAlexW2408822474MaRDI QIDQ315673

Sebastian Throm, Barbara Niethammer, Juan J. L. Velazquez

Publication date: 22 September 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-016-1553-5

zbMATH Keywords

uniqueness of solutionsself-similar profilesSmoluchowski's coagulation equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with statistical mechanics (35Q82)

Related Items (9)

Oscillatory traveling wave solutions for coagulation equations ⋮ The scaling hypothesis for Smoluchowski's coagulation equation with bounded perturbations of the constant kernel ⋮ Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one ⋮ Tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation ⋮ Stability and uniqueness of self-similar profiles in \(L^1\) spaces for perturbations of the constant kernel in Smoluchowski's coagulation equation ⋮ Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation with inverse power law kernels ⋮ Uniqueness of fat-tailed self-similar profiles to Smoluchowski’s coagulation equation for a perturbation of the constant kernel ⋮ Instabilities and oscillations in coagulation equations with kernels of homogeneity one ⋮ Contractivity for Smoluchowski's coagulation equation with solvable kernels

Cites Work

• Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant
• On self-similarity and stationary problem for fragmentation and coagulation models.
• Existence of self-similar solutions to Smoluchowski's coagulation equation
• Exponential Tail Behavior of Self-Similar Solutions to Smoluchowski's Coagulation Equation
• Approach to self‐similarity in Smoluchowski's coagulation equations

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