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数学物理学报(A辑) 2012
Shock Solutions for Some Singularly Perturbed Quasilinear Boundary Value Problems
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Abstract:
Some singularly perturbed quasilinear boundary value problems with interior shock layer properties are studied under certain conditions, the formal approximation of the problem is constructed using the mothed of composite expansions, and the existence and asymptotic behavior of solutions are proved by the fixed point theory .