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Izvestiya: Mathematics, 2009, Volume 73, Issue 1, Pages 151–170
DOI: https://doi.org/10.1070/IM2009v073n01ABEH002441 (Mi im2666) 		 
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
English version PDF (315 kB) Russian version article
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DOI: https://doi.org/10.1070/IM2009v073n01ABEH002441
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
Bibliographic databases:
UDC: 517.956
MSC: 35B20, 35B25, 35B30, 35B40, 35B45, 35C20, 35D05, 35J25, 35J60, 35K57, 35K55, 35K60, 35R45
Language: English
Original paper language: Russian
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. Math., 73:1 (2009), 151–170
Citation in format AMSBIB
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\by I.~V.~Nedelko
\paper Solutions of a problem of `reaction--diffusion' type with internal transition layers
in the case of non-linearity of quadratic type
\jour Izv. Math.
\yr 2009
\vol 73
\issue 1
\pages 151--170
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  • https://www.mathnet.ru/eng/im/v73/i1/p157
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:504
    Russian version PDF:234
    English version PDF:11
    References:74
    First page:31
     
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