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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
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2009, Volume 73, Issue 1, Pages 157–176
DOI: https://doi.org/10.4213/im2666
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. RAN. Ser. Mat., 73:1 (2009), 157–176; Izv. Math., 73:1 (2009), 151–170
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:224
    English version PDF:9
    References:62
    First page:31
     
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