Exponential relaxation to self-similarity for the superquadratic fragmentation equation

DOI10.1016/J.AML.2013.08.001zbMath1316.35066arXiv1309.2480OpenAlexW1977255474MaRDI QIDQ2345101

Pierre Gabriel, Francesco Salvarani

Publication date: 19 May 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2480

zbMATH Keywords

spectral gapexponential convergencelong-time behaviour

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Self-similar solutions to PDEs (35C06)

Related Items (8)

Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation ⋮ Global stability for the prion equation with general incidence ⋮ Asynchronous exponential growth of the growth-fragmentation equation with unbounded fragmentation rate ⋮ Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distribution ⋮ Asymptotic behavior of the growth-fragmentation equation with bounded fragmentation rate ⋮ Spectral Gap for the Growth-Fragmentation Equation via Harris's Theorem ⋮ Finite volume approach for fragmentation equation and its mathematical analysis ⋮ Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts

Cites Work

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• EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL
• CONSERVATIVE AND SHATTERING SOLUTIONS FOR SOME CLASSES OF FRAGMENTATION MODELS

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