2010-05-01, English, Article, Journal or magazine article edition: EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL. Jauffret, Marie Doumic; Gabriel, Pierre

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Physical Description
  • Magazine/​Journal article
Published
  • World Scientific Publishing Co. Pte Ltd., 2010 May
Language
  • English

Edition details

Title
  • EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL.
Appears In
  • Mathematical Models and Methods in Applied Sciences, v.20, no.05, 2010 May, p.757 (ISSN: 0218-2025)
Author
  • Jauffret, Marie Doumic
  • Gabriel, Pierre
Published
  • World Scientific Publishing Co. Pte Ltd., 2010 May
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http:/​/​dx.doi.org/​10.1142/​S021820251000443X Byline: MARIE DOUMIC JAUFFRET, PIERRE GABRIEL We consider a linear integro-differential equation which arises to describe both aggregation-fragmentation processes and cell division. We prove the existence of a solution ([lamda], $\mathcal U$, I) to the related eigenproblem. Such eigenelements are useful to study the long-time asymptotic behavior of solutions as well as the steady states when the equation is coupled with an ODE. Our study concerns a non-constant transport term that can vanish at x = 0, since it seems to be relevant to describe some biological processes like proteins aggregation. Non-lower-bounded transport terms bring difficulties to find a priori estimates. All the work of this paper is to solve this problem using weighted-norms.
Terms of Use
  • COPYRIGHT 2010 World Scientific Publishing Co. Pte Ltd.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 462548285
  • 10.1142/​S021820251000443X

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