RT Journal Article
T1 Characterizing the strange term in critical size homogenization: Quasilinear equations with a general microscopic boundary condition
A1 Díaz Díaz, Jesús Ildefonso
A1 Gómez-Castro, David
A1 Podol’skii, Alexander V.
A1 Shaposhnikova, Tatiana A.
AB The aim of this paper is to consider the asymptotic behavior of boundary value problems in ndimensional domains with periodically placed particles, with a general microscopic boundary condition on the particles and a p-Laplace diffusion operator on the interior, in the case in which the particles are of critical size. We consider the cases in which 1 < p < n, n ≥ 3. In fact, in contrast to previous results in the literature, we formulate the microscopic boundary condition in terms of a Robin type condition, involving a general maximal monotone graph, which also includes the case of microscopic Dirichlet boundary conditions. In this way we unify the treatment of apparently different formulations, which before were considered separately. We characterize the so called “strange term” in the homogenized problem for the case in which the particles are balls of critical size. Moreover, by studying an application in Chemical Engineering, we show that the critically sized particles lead to a more effective homogeneous reaction than noncritically sized particles.
SN 2191-9496
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/19417
UL https://hdl.handle.net/20.500.14352/19417
LA eng
DS Docta Complutense
RD 7 abr 2025