Interaction of localized large diffusion and boundary conditions

Aníbal Rodríguez-Bernal*, Alejandro Vidal-López

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper we derive the limiting PDES for parabolic problems where localized large diffusion touches the boundary of the domain. Hence the limit problem reflects the interaction of large diffusion and boundary conditions. The limit problem is a PDE coupled with a system of ODEs through some nonlocal terms. We study the well posedness and dissipativity of the (nonstandard)limit problem as well as the continuity of the dynamics as diffusion becomes large.

Original languageEnglish
Pages (from-to)2687-2736
Number of pages50
JournalJournal of Differential Equations
Issue number5
Publication statusPublished - 15 Aug 2019

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