Shock layer phenomena for some singularly perturbed quasilinear boundary value problems
Liu Shu-de
Abstract
Liu Shu-de
Abstract
Some singularly perturbed quasilinear boundary value problems with interior shock layer phenomena are studied.Under certain conditions,a first order formal approximation of the problem is constructed using the mothed of composite expansions.Then the existence and asymptotic behavior ase→0 of solutions are proved by the fixed point theorem.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Some singularly perturbed quasilinear boundary value problems with interior shock layer phenomena are studied.Under certain conditions,a first order formal approximation of the problem is constructed using the mothed of composite expansions.Then the existence and asymptotic behavior ase→0 of solutions are proved by the fixed point theorem.
Key concepts: Mathematics, Boundary value problem, Boundary layer, Method of matched asymptotic expansions, Shock (circulatory), Mathematical analysis, Fixed-point theorem, Initial value problem