Geodesic
Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity
Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 755-766

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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.
Mots-clés : problem of reaction-diffusion-advection type
Keywords: internal transition layer, asymptotic methods, problems with discontinuous nonlinearity. 
@article{MZM_2018_104_5_a12,
     author = {Yafei Pan and Min Kan Ni and M. A. Davydova},
     title = {Contrast {Structures} in {Problems} for a {Stationary} {Equation} of {Reaction-Diffusion-Advection} {Type} with {Discontinuous} {Nonlinearity}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {755--766},
     publisher = {mathdoc},
     volume = {104},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_5_a12/}
}
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Yafei Pan; Min Kan Ni; M. A. Davydova. Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity. Matematičeskie zametki, Tome 104 (2018) no. 5, pp. 755-766. http://geodesic.mathdoc.fr/item/MZM_2018_104_5_a12/