2012•Xitong kexue yu shuxueRequires access

THE ASYMPTOTIC BEHAVIOR FOR A CLASS OF BURNING SINGULARLY PERTURBED ROBIN PROBLEM

Mo Jia-Qi, Lin Wan-Tao

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Abstract

A class of singularly perturbed combustion problem is considered.By using the stretched variables,the boundary and interior layers of solution is constructed,and then, the formal asymptotic solution is obtained.Finally,by using the differential inequality,the uniform validity for the solution is proved.

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What this paper is about

A class of singularly perturbed combustion problem is considered.By using the stretched variables,the boundary and interior layers of solution is constructed,and then, the formal asymptotic solution is obtained.Finally,by using the differential inequality,the uniform validity for the solution is proved.

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Available abstract

A class of singularly perturbed combustion problem is considered.By using the stretched variables,the boundary and interior layers of solution is constructed,and then, the formal asymptotic solution is obtained.Finally,by using the differential inequality,the uniform validity for the solution is proved.

Key concepts: Method of matched asymptotic expansions, Class (philosophy), Mathematics, Boundary (topology), Singular perturbation, Asymptotic analysis, Robin boundary condition, Applied mathematics

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