Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates

DOI10.1016/j.nonrwa.2011.07.016zbMath1238.34019OpenAlexW2029330668WikidataQ70722045 ScholiaQ70722045MaRDI QIDQ420013

Jacek Banasiak

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.016

zbMATH Keywords

positive solutionsanalytic semigroupssubstochastic semigroupsfractional powers of operatorsfragmentation coagulation equationmoments estimatesreal interpolationsunbounded semilinear perturbations

Mathematics Subject Classification ID

Physiological flows (76Z05) Asymptotic properties of solutions to ordinary differential equations (34D05) Physiological flow (92C35) Ordinary lattice differential equations (34A33)

Related Items

Existence and uniqueness of steady-state solution to a singular coagulation-fragmentation equation, Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates, A note on the discrete coagulation equations with collisional breakage, Discrete fragmentation with mass loss, Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations -- a survey, Strong fragmentation and coagulation with power-law rates, Discrete fragmentation systems in weighted \(\ell^1\) spaces, Two moments consistent discrete formulation for binary breakage population balance equation and its convergence, Global classical solutions to the continuous coagulation equation with collisional breakage, Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics, On the existence of moments of solutions to fragmentation equations, Fragmentation instability in aggregating systems

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