Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity
In this article, a singularly perturbed boundary-value problem for a nonlinear stationary equation of reaction-diffusion-advection type is studied. A new class of problems with discontinuous advective and reactive terms is considered. The existence of contrast structures in problems of this type is proved, and an asymptotic approximation of the solution with an internal transition layer of arbitrary order of accuracy is obtained. New original scientific results have been obtained that can be applied in other fields of science and technology.
problem of reaction-diffusion-advection type
problems with discontinuous nonlinearity
scientific article; zbMATH DE number 7037790
scientific article