Self-similar asymptotic behavior for the solutions of a linear coagulation equation

DOI10.1016/j.jde.2018.07.059zbMath1415.35049arXiv1804.08886OpenAlexW2964151126WikidataQ59197232 ScholiaQ59197232MaRDI QIDQ1993980

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

Publication date: 6 November 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08886

zbMATH Keywords

long-time asymptoticsmeasure-valued solutionself-similar profilescoagulation dynamicslinear Smoluchowski's equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Markov semigroups and applications to diffusion processes (47D07) Linear integral equations (45A05) Self-similar solutions to PDEs (35C06)

Related Items

A Kac model for kinetic annihilation, Non-equilibrium stationary solutions for multicomponent coagulation systems with injection, The invariant solution of Smoluchowski coagulation equation with homogeneous kernels based on one parameter group transformation, Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations, Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: a study within combinatorial framework, Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity one, Stationary non-equilibrium solutions for coagulation systems

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