Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Herbert Amann
  • Christoph Walker

External Research Organisations

  • Universität Zürich (UZH)
  • Vanderbilt University
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Details

Original languageEnglish
Pages (from-to)159-186
Number of pages28
JournalJournal of differential equations
Volume218
Issue number1
Publication statusPublished - 1 Nov 2005
Externally publishedYes

Abstract

We consider the diffusive continuous coagulation-fragmentation equations with and without scattering and show that they admit unique strong solutions for a large class of initial values. If the latter values are small with respect to a suitable norm, we provide sufficient conditions for global-in-time existence in the absence of fragmentation.

Keywords

    Coagulation, Diffusion, Fragmentation, Semigroup theory, Volume scattering

ASJC Scopus subject areas

Cite this

Local and global strong solutions to continuous coagulation-fragmentation equations with diffusion. / Amann, Herbert; Walker, Christoph.
In: Journal of differential equations, Vol. 218, No. 1, 01.11.2005, p. 159-186.

Research output: Contribution to journal › Article › Research › peer review

Download
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