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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 10, Pages 1840–1848 (Mi zvmmf9558)  
This article is cited in 1 scientific paper (total in 1 paper)

Properties of spatial structures for reaction–nonlinear diffusion equations subject to Dirichlet conditions

V. N. Razzhevaikin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
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Abstract: For reaction–nonlinear diffusion equations subject to Dirichlet homogeneous boundary value conditions, the properties of alternation of stable and unstable time-independent unimodal solutions are investigated. For the case of constant diffusion, formulas for the functions determining the type of stability are given and the results of their application to the case of quadratic nonlinearity in the source term are presented.
Key words: nonlinear reaction–diffusion equation, spatial structures, Dirichlet boundary conditions, stability of time-independent unimodal solutions.
Received: 01.03.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 10, Pages 1729–1737
DOI: https://doi.org/10.1134/S0965542511100095
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. N. Razzhevaikin, “Properties of spatial structures for reaction–nonlinear diffusion equations subject to Dirichlet conditions”, Zh. Vychisl. Mat. Mat. Fiz., 51:10 (2011), 1840–1848; Comput. Math. Math. Phys., 51:10 (2011), 1729–1737
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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