PARABOLIC PROBLEMS WITH DYNAMICAL BOUNDARY CONDITIONS IN PERFORATED MEDIA
2003 ◽
Vol 8
(4)
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pp. 337-350
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Keyword(s):
The asymptotic behavior of the solution of a parabolic dynamical boundary‐value problem in a periodically perforated domain is analyzed. The perforations, which are identical and periodically distributed, are of size ϵ. In the perforated domain we consider a heat equation, with a Dirichlet condition on the exterior boundary and a dynamical boundary condition on the surface of the holes. The limit equation, as ϵ ? 0, is a heat equation with extra-terms coming from the influence of the non-homogeneous dynamical boundary condition.
2006 ◽
Vol 93
(2)
◽
pp. 418-446
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1998 ◽
Vol 39
(4)
◽
pp. 621-644
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Keyword(s):
2012 ◽
Vol 24
(3)
◽
pp. 645-661
2020 ◽
Vol 23
(01)
◽
pp. 2050003
Keyword(s):
2018 ◽
Vol 54
(9)
◽
pp. 1256-1260
◽
Keyword(s):
2020 ◽
Vol 40
(11)
◽
pp. 6529-6546
Keyword(s):