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Sbornik: Mathematics, 1998, Volume 189, Issue 12, Pages 1839–1854
DOI: https://doi.org/10.1070/sm1998v189n12ABEH000368 (Mi sm368) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Linear determining equations for differential constraints

O. V. Kaptsov

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences
English version PDF (210 kB) Citations (22)
References:
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DOI: https://doi.org/10.1070/sm1998v189n12ABEH000368
Abstract: A construction of differential constraints compatible with partial differential equations is considered. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the classical determining equations used in the search for admissible Lie operators. As applications of this approach equations of an ideal incompressible fluid and non-linear heat equations are discussed.
Received: 29.01.1998
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 12, Pages 103–118
DOI: https://doi.org/10.4213/sm368
Bibliographic databases:
UDC: 517.95
MSC: Primary 35A30, 58G35; Secondary 35Q35, 35Q99
Language: English
Original paper language: Russian
Citation: O. V. Kaptsov, “Linear determining equations for differential constraints”, Mat. Sb., 189:12 (1998), 103–118; Sb. Math., 189:12 (1998), 1839–1854
Citation in format AMSBIB
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\paper Linear determining equations for differential constraints
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  • https://www.mathnet.ru/eng/sm/v189/i12/p103
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:426
    Russian version PDF:219
    English version PDF:18
    References:54
    First page:1
     
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