Interaction of localized large diffusion and boundary conditions Articles uri icon

authors

  • RODRIGUEZ BERNAL, MARIA TERESA
  • VIDAL LOPEZ, ALEJANDRO

publication date

  • August 2019

start page

  • 2687

end page

  • 2736

issue

  • 5

volume

  • 267

International Standard Serial Number (ISSN)

  • 0022-0396

Electronic International Standard Serial Number (EISSN)

  • 1090-2732

abstract

  • 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. (C) 2019 Elsevier Inc. All rights reserved.

keywords

  • parabolic problems; spatial homogenization; continuity; dynamics; attractors; equations; domains; behavior