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January/February 2014 Well-posedness for a coagulation multiple-fragmentation equation
Eduardo Cepeda
Differential Integral Equations 27(1/2): 105-136 (January/February 2014).

Abstract

We consider a coagulation multiple-fragmentation equation, which describes the concentration $c_t(x)$ of particles of mass $x \in (0,\infty)$ at the instant $t \geq 0$ in a model where fragmentation and coalescence phenomena occur. We study the existence and uniqueness of measured-valued solutions to this equation for homogeneous-like kernels of homogeneity parameter $\lambda \in (0,1]$ and bounded fragmentation kernels, although a possibly infinite total fragmentation rate, in particular an infinite number of fragments, is considered. This work relies on the use of a Wasserstein-type distance, which has shown to be particularly well-adapted to coalescence phenomena. It was introduced in previous works on coagulation and coalescence.

Citation

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Eduardo Cepeda. "Well-posedness for a coagulation multiple-fragmentation equation." Differential Integral Equations 27 (1/2) 105 - 136, January/February 2014.

Information

Published: January/February 2014
First available in Project Euclid: 12 November 2013

zbMATH: 1313.45011
MathSciNet: MR3161598

Subjects:
Primary: 45K05

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.27 • No. 1/2 • January/February 2014
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