A free boundary problem for a reaction-diffusion system with nonlinear memory

Zhigui Lin, Zhi Ling, Michael Pedersen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We consider a integro-partial differential equation with a free boundary which appears in the theory of the nuclear dynamics. First, local existence and uniqueness are obtained by using the contraction mapping theorem. Then, the behavior of the free boundary and the blow-up criteria are obtained. Finally, we examine the long-time behavior of the global solution. We show that the solution is global and fast if the initial data are small.
Original languageEnglish
JournalZeitschrift fuer Angewandte Mathematik und Physik
Volume65
Issue number3
Pages (from-to)521-530
ISSN0044-2275
DOIs
Publication statusPublished - 2013

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