TY - JOUR
T1 - Interaction of localized large diffusion and boundary conditions
AU - Rodríguez-Bernal, Aníbal
AU - Vidal-López, Alejandro
N1 - Funding Information:
Partially supported by ICMAT Severo Ochoa project SEV-2015-0554 (MINECO).Partially supported by Project MTM2016-75465, MICINN and GR58/08 Grupo 920894, UCM, Spain.Partially supported by PRX17/00522 Programa Salvador de Madariaga MECyD, Spain.
Publisher Copyright:
© 2019 Elsevier Inc.
PY - 2019/8/15
Y1 - 2019/8/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85063540726&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2019.03.031
DO - 10.1016/j.jde.2019.03.031
M3 - Article
AN - SCOPUS:85063540726
SN - 0022-0396
VL - 267
SP - 2687
EP - 2736
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 5
ER -