TY - JOUR
T1 - A Note on Homogenization of Parabolic Equation in Perforated Domains
AU - Yang , Zhanying
AU - Shu , Wan
AU - Pan , Zhangping
AU - Peng , Chaoquan
JO - Communications in Mathematical Research 
VL - 3
SP - 230
EP - 240
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.03.05
UR - https://global-sci.org/intro/article_detail/cmr/13488.html
KW - parabolic equation, perforated domain, homogenization, periodic unfolding
method
AB - <p style="text-align: justify;">We are concerned with a class of parabolic equations in periodically perforated
domains with a homogeneous Neumann condition on the boundary of holes.
By using the periodic unfolding method in perforated domains, we obtain the homogenization
results under the conditions slightly weaker than those in the corresponding
case considered by Nandakumaran and Rajesh (Nandakumaran A K, Rajesh M. Homogenization
of a parabolic equation in perforated domain with Neumann boundary
condition. Proc. Indian Acad. Sci. (Math. Sci.), 2002, 112(1): 195–207). Moreover,
these results generalize those obtained by Donato and Nabil (Donato P, Nabil A. Homogenization
and correctors for the heat equation in perforated domains. Ricerche
di Matematica L. 2001, 50: 115–144).</p>