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

Author:

Pan Yafei,Ni Mingkang,Davydova M. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference8 articles.

1. N. N. Nefedov and M. K. Ni, “Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term,” Zh. Vychisl.Mat. Mat. Fiz. 55 (12), 2042–2048 (2015) [Comput. Math. Math. Phys. 55 (12), 2001–2007 (2015)].

2. N. T. Levashova, N. N. Nefedov, and A. O. Orlov, “Time-independent reaction-diffusion equation with a discontinuous reactive term,” Zh. Vychisl. Mat. Mat. Fiz. 57 (5), 854–866 (2017) [Comput. Math. Math. Phys. 57 (5), 854–866 (2017)].

3. A. B. Vasil’eva, V. F. Butuzov, and N. N. Nefedov, “Singularly perturbed problems with boundary and internal layers,” in Trudy Mat. Inst. Steklova, Vol. 268: Differential Equations and Topology. I (MAIK “Nauka/Interperiodika,” Moscow, 2010), pp. 268–283 [Proc. Steklov Inst.Math. 268, 258–273 (2010)].

4. N. N. Nefedov and M. A. Davydova, “Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems,” Differ. Uravn. 48 (5), 738–748 (2012) [Differ. Equations 48 (5), 745–755 (2012)].

5. N. N. Nefedov, L. Recke, and K. R. Schneider, “Existence and asymptotic stability of periodic solutions with an internal layer of reaction-advection-diffusion equations,” J. Math. Anal. Appl. 405 (1), 90–103 (2013).

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