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A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters |
| Mo Jia-Qi(莫嘉琪)† |
| Department of Mathematics, Anhui Normal University, Wuhu 241000, China |
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Abstract A class of singularly perturbed initial boundary value problems of reaction diffusion equations for the nonlinear boundary condition with two parameters is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and the asymptotic behaviour of the solution for the initial boundary value problem are studied. The obtained solution indicates that there are initial and boundary layers and the thickness of the boundary layer is less than the thickness of the initial layer.
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Received: 20 May 2009
Revised: 09 June 2009
Accepted manuscript online:
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PACS:
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05.60.-k
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(Transport processes)
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02.30.Jr
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(Partial differential equations)
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| Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos. 40676016 and
40876010), the Knowledge Innovation Project of Chinese Academy of
Sciences (Grant No. KZCX2-YW-Q03-08), the Natiural Science
Foundation of Zhejiang Province of China (Grant No. 6090164) and in
part by E-Institutes of Shanghai Municipal Education Commission
(Grant No. E03004). |
Cite this article:
Mo Jia-Qi(莫嘉琪) A singularly perturbed reaction diffusion problem for the nonlinear boundary condition with two parameters 2010 Chin. Phys. B 19 010203
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