2014.07.23 15:50
실적년도 | 2012년 |
---|---|
논문구분 | 국외 |
총저자 | Ki-Ahm Lee, Minha Yoo |
학술지명 | Archive for Rational Mechanics and Analysis |
권(Vol.) | 206 |
호(No.) | 1 |
게재년월 | 2012년 |
Impact Factor | |
SCI 등재 | SCI |
비고 |
•실적년도 : 2012
•논문구분 : 국외
•총 저자 : Ki-Ahm Lee, Minha Yoo
•학술지명 : Archive for Rational Mechanics and Analysis
•권(Vol.) : 206
•게재년월 : 2012
•SCI 등재 : SCI
•In this paper, we consider periodic soft inclusions Tε with periodicity
ε, where the solution , uε, satisfies semi-linear elliptic equations of non-divergence
in Ωε = Ω \ Tε with a Neumann data on ∂T
a
. The difficulty lies in the nondivergence
structure of the operator where the standard energy method based
on the divergence theorem can not be applied. The main object is developing a
viscosity method to find the homogenized equation satisfied by the limit of uε,
called as u, as ε approaches to zero. We introduce the concept of a compatibility
condition between the equation and the Neumann condition on the boundary
for the existence of uniformly bounded periodic first correctors. The concept of
second corrector has been developed to show the limit, u, is the viscosity solution
of a homogenized equation.
The Viscosity Method for the Homogenization of Soft Inclusions.pdf