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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 4, Pages 64–69 (Mi sjim638)  
Conservation laws for a system of diffusion reaction type with one spatial variable

M. V. Neshchadimab

a Institute of Mathematics, SB RAS, Novosibirsk
b Novosibirsk State University, Novosibirsk
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Abstract: For a system of diffusion reaction type equations with one spatial variable we find necessary and sufficient conditions allowing nontrivial first order conservation laws. We establish a theorem on a basis for conservation laws.
Keywords: diffusion reaction type systems, conservation laws.
Received: 05.10.2009
Revised: 28.01.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 400–405
DOI: https://doi.org/10.1134/S1990478911030124
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. V. Neshchadim, “Conservation laws for a system of diffusion reaction type with one spatial variable”, Sib. Zh. Ind. Mat., 13:4 (2010), 64–69; J. Appl. Industr. Math., 5:3 (2011), 400–405
Citation in format AMSBIB
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\by M.~V.~Neshchadim
\paper Conservation laws for a~system of diffusion reaction type with one spatial variable
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 4
\pages 64--69
\mathnet{http://mi.mathnet.ru/sjim638}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841214}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 400--405
\crossref{https://doi.org/10.1134/S1990478911030124}
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