Tail behaviour of self-similar profiles with infinite mass for Smoluchowski's coagulation equation

DOI10.1007/S10955-018-1980-6zbMath1392.82047arXiv1703.09192OpenAlexW2616331218MaRDI QIDQ1753889

Sebastian Throm

Publication date: 29 May 2018

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

Full work available at URL: https://arxiv.org/abs/1703.09192

zbMATH Keywords

Smoluchowski coagulation equationdecay behaviourfat tailsself-similar profiles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Integro-partial differential equations (35R09) Fokker-Planck equations (35Q84)

Related Items (2)

Stability and uniqueness of self-similar profiles in \(L^1\) spaces for perturbations of the constant kernel in Smoluchowski's coagulation equation ⋮ Uniqueness of fat-tailed self-similar profiles to Smoluchowski’s coagulation equation for a perturbation of the constant kernel

Cites Work

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• A uniqueness result for self-similar profiles to Smoluchowski's coagulation equation revisited
• Self-similar solutions with fat tails for Smoluchowski's coagulation equation with singular kernels
• Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant
• Regularity, local behavior and partial uniqueness for self-similar profiles of Smoluchowski's coagulation equation
• Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
• Gelation in coagulation and fragmentation models
• On self-similarity and stationary problem for fragmentation and coagulation models.
• Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels
• Scaling solutions of Smoluchowski's coagulation equation
• Dust and self-similarity for the Smoluchowski coagulation equation
• Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels
• Existence of self-similar solutions to Smoluchowski's coagulation equation
• Instabilities and oscillations in coagulation equations with kernels of homogeneity one
• Exponential Tail Behavior of Self-Similar Solutions to Smoluchowski's Coagulation Equation
• Optimal Bounds for Self-Similar Solutions to Coagulation Equations with Product Kernel
• Approach to self‐similarity in Smoluchowski's coagulation equations
• Local properties of self-similar solutions to Smoluchowski’s coagulation equation with sum kernels

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