Abstract
We consider a singularly perturbed initial-boundary value problem for a system of parabolic equations with distinct powers of a small parameter. We construct and justify the asymptotics of a solution with an internal transition layer. The proof is carried out with the use of the asymptotic method of differential inequalities.
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Original Russian Text © N.T. Levashova, A.A.Mel’nikova, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 3, pp. 339–358.
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Levashova, N.T., Mel’nikova, A.A. Step-like contrast structure in a singularly perturbed system of parabolic equations. Diff Equat 51, 342–361 (2015). https://doi.org/10.1134/S0012266115030064
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DOI: https://doi.org/10.1134/S0012266115030064