A Nonlinear Singularly Perturbed Problem for Reaction Diffusion Equations with Boundary Perturbation
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Abstract
A nonlinear singularly perturbed problems for reaction diffusion equation with boundary perturbation is considered. Under suitable conditions, the asymptotic behavior of solution for the initial boundary value problems of reaction diffusion equations is studied using the theory of differential inequalities.
Keywords
nonlinear differential inequality reaction diffusion singular perturbation boundary perturbation2000 MR Subject Classification
35B25 35K57Preview
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References
- 1.Adams, K.L., King, J.R., Tew, R.H. Beyond-all-orders effects in multiple-scales symptotic:Travelling-wave solutions to the Kuramoto-Sivashinsky equation. J. Engineering Math., 45:197–226 (2003)MATHCrossRefGoogle Scholar
- 2.de Jager, E.M., Jiang, Furu. The theory of singular perturbation. North-Holland Publishing Co. Amsterdam 1996Google Scholar
- 3.do Nascimento, A.S. Stable transition layers in a semilinear diffusion equation with spatial inhomogeneties in N-dimensional domains. J. Differential Eqns., 190:16–38 (2003)MATHCrossRefMathSciNetGoogle Scholar
- 4.Mo, Jiaqi. The singularly perturbed problem for combustion reaction diffusion. Acta Math. Appl. Sinica, 17(2):255–259 (2001)MATHMathSciNetGoogle Scholar
- 5.Mo, Jiaqi, Shao, S. The singularly perturbed boundary value problems for higher-order semilinear elliptic equations. Advances in Math., 30(2):141–148 (2001)MATHMathSciNetGoogle Scholar
- 6.Mo, Jiaqi, Zhu, Jiang, Wang, Hui. Asymptotic behavior of the shock solution for a class of nonlinear equations. Progress in Natural Science., 13(10):768–770 (2003)MATHCrossRefMathSciNetGoogle Scholar
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