RT Journal Article
T1 A nonlocal memory strange term arising in the critical scale homogenization of diffusion equations with dynamic boundary conditions
A1 Díaz Díaz, Jesús Ildefonso
A1 Gómez Castro, David
A1 Shaposhnikova, Tatiana A.
A1 Zubova, Maria N.
AB Our main interest in this article is the study of homogenized limit of a parabolic equation with a nonlinear dynamic boundary condition of the micro-scale model set on a domain with periodically place particles. We focus on the case of particles (or holes) of critical diameter with respect to the period of the structure. Our main result proves the weak convergence of the sequence of solutions of the original problem to the solution of a reaction-diffusion parabolic problem containing a "strange term". The novelty of our result is that this term is a nonlocal memory solving an ODE. We prove that the resulting system satisfies a comparison principle.
PB Texas State University
SN 1072-6691
YR 2019
FD 2019-06-04
LK https://hdl.handle.net/20.500.14352/12452
UL https://hdl.handle.net/20.500.14352/12452
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 6 abr 2025