Shattering and non-uniqueness in fragmentation models -- an analytic approach

DOI10.1016/j.physd.2006.07.025zbMath1129.82034OpenAlexW1999309363WikidataQ70722295 ScholiaQ70722295MaRDI QIDQ852894

Jacek Banasiak

Publication date: 15 November 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.07.025

zbMATH Keywords

FragmentationConservativenessShatteringStochastic semigroups

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

The fragmentation equation with size diffusion: Well posedness and long-term behaviour, Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates, A Multi-Region Nonlinear Size-Structured Population Model with Coagulation and Vertical Effects, Probabilistic representations of fragmentation equations, Mass-conserving self-similar solutions to coagulation–fragmentation equations, A mixed discrete-continuous fragmentation model, Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations -- a survey, On a class of continuous fragmentation equations with singular initial conditions, Asymptotic behavior of solutions of the fragmentation equation with shattering: an approach via self-similar Markov processes, Controlling number of particles in fragmentation equations, Strongly differentiable solutions of the discrete coagulation-fragmentation equation, Finite volume approach for fragmentation equation and its mathematical analysis, Substochastic semigroups and densities of piecewise deterministic Markov processes

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