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Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity

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Abstract

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.

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Authors and Affiliations

  1. East China Normal University, Shanghai, 200241, People’s Republic of China

    Yafei Pan & Mingkang Ni

  2. LomonosovMoscow State University, Moscow, 119991, Russia

    M. A. Davydova

Authors
  1. Yafei Pan
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  2. Mingkang Ni
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  3. M. A. Davydova
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Correspondence to Mingkang Ni.

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Original Russian Text © Yafei Pan, Mingkang Ni, M. A. Davydova, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 5, pp. 755–766.

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Pan, Y., Ni, M. & Davydova, M.A. Contrast Structures in Problems for a Stationary Equation of Reaction-Diffusion-Advection Type with Discontinuous Nonlinearity. Math Notes 104, 735–744 (2018). https://doi.org/10.1134/S0001434618110159

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  • DOI: https://doi.org/10.1134/S0001434618110159

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