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Sbornik: Mathematics, 2011, Volume 202, Issue 6, Pages 887–907
DOI: https://doi.org/10.1070/SM2011v202n06ABEH004170 (Mi sm7736) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Riemann quasi-invariants

S. I. Pokhozhaev

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (344 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2011v202n06ABEH004170
Abstract: The notion of Riemann quasi-invariants is introduced and their applications to several conservation laws are considered. The case of nonisentropic flow of an ideal polytropic gas is analysed in detail. Sufficient conditions for gradient catastrophes are obtained.
Bibliography: 16 titles.
Keywords: Riemann invariants, Riemann quasi-invariants, conservation laws, gradient catastrophe, nonisentropic ideal gas flow.
Received: 11.05.2010 and 22.09.2010
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 6, Pages 111–132
DOI: https://doi.org/10.4213/sm7736
Bibliographic databases:
Document Type: Article
UDC: 517.954
MSC: Primary 35L40; Secondary 76N10
Language: English
Original paper language: Russian
Citation: S. I. Pokhozhaev, “Riemann quasi-invariants”, Mat. Sb., 202:6 (2011), 111–132; Sb. Math., 202:6 (2011), 887–907
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v202/i6/p111
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:593
    Russian version PDF:234
    English version PDF:19
    References:63
    First page:38
     
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