Open AccessTime periodic solutions for a viscous diffusion equation with nonlinear periodic sources
Author(s) -
Yinghua Li,
Yang Cao,
Jingxue Yin,
Yifu Wang
Publication year - 2011
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2011.1.10
Subject(s) - mathematics , nonlinear system , diffusion , mathematical analysis , periodic function , diffusion equation , thermodynamics , physics , economy , quantum mechanics , economics , service (business)
In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscous coefficientk tends to zero.
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