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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 2, Pages 227–251
DOI: https://doi.org/10.4213/tmf8960
(Mi tmf8960)
 

This article is cited in 13 scientific papers (total in 13 papers)

Conservation laws, differential identities, and constraints of partial differential equations

V. V. Zharinov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
References:
Abstract: We consider specific cohomological properties such as low-dimensional conservation laws and differential identities of systems of partial differential equations (PDEs). We show that such properties are inherent to complex systems such as evolution systems with constraints. The mathematical tools used here are the algebraic analysis of PDEs and cohomologies over differential algebras and modules.
Keywords: differential algebra, conservation law, differential identity, differential constraint.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 05.05.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 2, Pages 1557–1581
DOI: https://doi.org/10.1007/s11232-015-0365-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, TMF, 185:2 (2015), 227–251; Theoret. and Math. Phys., 185:2 (2015), 1557–1581
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8960
  • https://doi.org/10.4213/tmf8960
  • https://www.mathnet.ru/eng/tmf/v185/i2/p227
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:56
    First page:71
     
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