Coagulation and fragmentation with discrete mass loss

DOI10.1016/j.jmaa.2006.07.003zbMath1154.45302OpenAlexW2086031578MaRDI QIDQ1001283

Iain W. Stewart, Wilson Lamb, Pamela N. Blair

Publication date: 17 February 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.003

zbMATH Keywords

coagulationfragmentationsemigroups of operatorssemilinear Cauchy problem

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Transport processes in time-dependent statistical mechanics (82C70)

Related Items

A mixed discrete-continuous fragmentation model ⋮ A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model ⋮ On a class of continuous fragmentation equations with singular initial conditions ⋮ Convergence analysis of volume preserving scheme for mass based coalescence equation

Cites Work

• A perturbation theorem for positive contraction semigroups on \(L^ 1\)-spaces with applications to transport equations and Kolmogorov's differential equations
• On the application of substochastic semigroup theory to fragmentation models with mass loss.
• Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss
• On substochastic C₀-semigroups and their generators
• One-Parameter Semigroups for Linear Evolution Equations
• A Semigroup Approach to Fragmentation Models
• An Existence and Uniqueness Result for a Coagulation and Multiple-Fragmentation Equation
• Existence and uniqueness results for the continuous coagulation and fragmentation equation
• On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application
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