Singular Perturbation for the Weakly Nonlinear Reaction Diffusion Equation With Boundary Perturbation

MO Jia-qi

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MO Jia-qi. Singular Perturbation for the Weakly Nonlinear Reaction Diffusion Equation With Boundary Perturbation[J]. Applied Mathematics and Mechanics, 2008, 29(8): 1003-1008.

Citation:

MO Jia-qi. Singular Perturbation for the Weakly Nonlinear Reaction Diffusion Equation With Boundary Perturbation[J]. Applied Mathematics and Mechanics, 2008, 29(8): 1003-1008.

Citation:

MO Jia-qi. Singular Perturbation for the Weakly Nonlinear Reaction Diffusion Equation With Boundary Perturbation[J]. Applied Mathematics and Mechanics, 2008, 29(8): 1003-1008.

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Singular Perturbation for the Weakly Nonlinear Reaction Diffusion Equation With Boundary Perturbation

MO Jia-qi^1,2,3

1.
Anhui Normal University, Wuhu, Anhui 241000, P. R. China;

Received Date: 2007-03-21
Rev Recd Date: 2008-07-02
Publish Date: 2008-08-15

Abstract

Abstract

A class of nonlinear singularly perturbed initial boundary value problems for reaction diffusion equations with boundary perturbation is considered under suitable conditions.Firstly,by dint of regular perturbation method,the outer solution of the original problem was obtained.Secondly,by using the stretched variable and the expanding theory of power series,the initial layer term of solution was constructed.And then,by using the theory of differential inequalities the asymptotic behavior of solutions for the initial boundary value problems was studied.finally,using some relational inequalities the existence and uniqueness of solution for the original problem and the uniforntly valid asympfolic estimation were discussed.
- nonlinear,
- reaction diffusion,
- singular perturbation,
- boundary perturbation

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References(20)

References

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