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Solutions of a problem of ‘reaction–diffusion’ type with internal transition layers
in the case of non-linearity of quadratic type
I. V. Nedelko M. V. Lomonosov Moscow State University
Abstract:
We find conditions under which solutions with internal transition
layers are formed in a singularly perturbed parabolic problem
of ‘reaction–diffusion’ type and prove the existence of similar
stationary solutions.
Keywords:
contrast structures, internal transition layer.
Received: 17.05.2007
Citation:
I. V. Nedelko, “Solutions of a problem of ‘reaction–diffusion’ type with internal transition layers
in the case of non-linearity of quadratic type”, Izv. RAN. Ser. Mat., 73:1 (2009), 157–176; Izv. Math., 73:1 (2009), 151–170
Linking options:
https://www.mathnet.ru/eng/im2666https://doi.org/10.1070/IM2009v073n01ABEH002441 https://www.mathnet.ru/eng/im/v73/i1/p157
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Abstract page: | 483 | Russian version PDF: | 224 | English version PDF: | 9 | References: | 62 | First page: | 31 |
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