Abstract
A class of singularly perturbed initial boundary value problems of reaction diffusion equations for nonlinear boundary conditions is considered. Under suitable conditions, by using the theory of differential inequalities, the existence and asymptotic behavior of solution for initial boundary value problem are studied. Moreover, the obtained solution indicates that there are initial and boundary layers, and the thickness of the initial layer is less than that of the boundary layer.
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Foundation item: Supported by the National Natural Science Foundation of China (11071205), the Natural Science Foundation of Jiangsu Province (BK2011042) and the Foundation of the Education Department of Fujian Province (JA10288)
Biography: CHEN Lihua, female, Professor, research direction: application mathematics.
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Chen, L., Du, Z. & Mo, J. Reaction diffusion equations for nonlinear boundary conditions. Wuhan Univ. J. Nat. Sci. 18, 237–240 (2013). https://doi.org/10.1007/s11859-013-0921-0
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DOI: https://doi.org/10.1007/s11859-013-0921-0