Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems

Author:

Davydova M. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference10 articles.

1. 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)].

2. N. N. Nefedov and M. A. Davydova, “Contrast structures in singularly perturbed quasilinear reactiondiffusion-advection equations,” Differ. Uravn. 49 (6), 715–733 (2013) [Differ. Equations 49 (6), 688–706 (2013)].

3. N. N. Nefedov and K. Sakamoto, “Multi-dimensional stationary internal layers for spatially inhomogeneous reaction-diffusion equations with balanced nonlinearity,” HiroshimaMath. J. 33 (3), 391–432 (2003).

4. N. T. Levashova, N. N. Nefedov, and A. V. Yagremtsev, “Contrast structures in the reaction-diffusionadvection equations in the case of balanced advection,” Zh. Vychisl.Mat. i Mat. Fiz. 53 (3), 365–376 (2013) [Comput.Math. and Math. Phys. 53 (3), 273–283 (2013)].

5. L. S. Pontryagin, Ordinary Differential Equations (Nauka, Moscow, 1982) [in Russian].

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