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Decay results in a cross-diffusion problem

Title
Decay results in a cross-diffusion problem
Author
남우식
Advisor(s)
송종철
Issue Date
2010-02
Publisher
한양대학교
Degree
Master
Abstract
In this thesis, we investigate decay bounds in temporal and space for a cross-diffusion problem with the homogeneous Dirichlet, Neumann, and Robin boundary conditions we study temporal bounds under appropriate restrictions on the coefficients of the cross-diffusion problem. We show that solutions decay in L-2 at least as fast as e^-kt(k is a computable constant). In the spatial decay bound case, with homogeneous Dirichlet conditions prescribed on the lateral surface of the cylinder, it is shown that for fixed time and under certain restrictions on the coefficients, solutions decay in L-2 at least as fast e^-kz(k is a computable constants).
URI
http://dcollection.hanyang.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000057029http://repository.hanyang.ac.kr/handle/20.500.11754/142836
Appears in Collections:
GRADUATE SCHOOL[S](대학원) > APPLIED MATHEMATICS(응용수학과) > Theses (Master)
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