CONSERVATIVE AND SHATTERING SOLUTIONS FOR SOME CLASSES OF FRAGMENTATION MODELS

DOI10.1142/S0218202504003325zbMath1090.47026OpenAlexW1995366743WikidataQ70722339 ScholiaQ70722339MaRDI QIDQ5315590

Jacek Banasiak

Publication date: 9 September 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202504003325

zbMATH Keywords

substochastic semigroupsshattering transitioncluster fragmentation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Linear differential equations in abstract spaces (34G10)

Related Items

Pseudospectral Laguerre approximation of transport-fragmentation equations, Compensated fragmentation processes and limits of dilated fragmentations, Explicit solutions to some fragmentation equations with growth or decay*, On spectral gaps of growth-fragmentation semigroups in higher moment spaces, The fragmentation equation with size diffusion: Well posedness and long-term behaviour, Shattering and non-uniqueness in fragmentation models -- an analytic approach, Self-similar solutions of fragmentation equations revisited, Exact solutions of fragmentation equations with general fragmentation rates and separable particles distribution kernels, Conservativeness in nonlocal fragmentation models, Kinetic‐Type Models With Diffusion: Conservative And Nonconservative Solutions, Controlling number of particles in fragmentation equations, CONSERVATIVE AND NON-CONSERVATIVE BOLTZMANN-TYPE MODELS OF SEMICONDUCTOR THEORY, Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss, Exponential relaxation to self-similarity for the superquadratic fragmentation equation

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