Optimal Bounds for Self-Similar Solutions to Coagulation Equations with Product Kernel
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Publication:3106554
DOI10.1080/03605302.2011.563403zbMath1235.45009arXiv1010.1857OpenAlexW2057661656MaRDI QIDQ3106554
Juan J. L. Velazquez, Barbara Niethammer
Publication date: 28 December 2011
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.1857
Integro-partial differential equations (45K05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)
Related Items (8)
Exponential Tail Behavior of Self-Similar Solutions to Smoluchowski's Coagulation Equation ⋮ Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels ⋮ Asymptotics of self-similar solutions to coagulation equations with product kernel ⋮ Mass-conserving self-similar solutions to coagulation–fragmentation equations ⋮ Uniqueness of self-similar solutions to Smoluchowski's coagulation equations for kernels that are close to constant ⋮ 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
Cites Work
- Regularity, local behavior and partial uniqueness for self-similar profiles of Smoluchowski's coagulation equation
- On self-similarity and stationary problem for fragmentation and coagulation models.
- Eternal solutions to Smoluchowski's coagulation equation with additive kernel and their probabilistic interpretations
- Scaling solutions of Smoluchowski's coagulation equation
- Dust and self-similarity for the Smoluchowski coagulation equation
- Existence of self-similar solutions to Smoluchowski's coagulation equation
- Isochronous and partially isochronous Hamiltonian systems are not rare
- Numerical Simulation of the Smoluchowski Coagulation Equation
- 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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