Strong fragmentation and coagulation with power-law rates

DOI10.1007/s10665-012-9596-3zbMath1360.35279OpenAlexW2081204707WikidataQ59303535 ScholiaQ59303535MaRDI QIDQ525164

Jacek Banasiak, Wilson Lamb, Matthias Langer

Publication date: 28 April 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-012-9596-3

zbMATH Keywords

analytic semigroupreal interpolationfractional power of operatorssemilinear Cauchy problemfragmentation-coagulation equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear first-order PDEs (35F25) 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 (8)

Global solutions of continuous coagulation-fragmentation equations with unbounded coefficients ⋮ Mass-conserving solutions to coagulation-fragmentation equations with nonintegrable fragment distribution function ⋮ Mass-conserving self-similar solutions to coagulation–fragmentation equations ⋮ Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations -- a survey ⋮ A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model ⋮ Branching processes for the fragmentation equation ⋮ Global classical solutions to the continuous coagulation equation with collisional breakage ⋮ On the existence of moments of solutions to fragmentation equations

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