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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 4, Pages 831–835 (Mi smj2004)  
This article is cited in 1 scientific paper (total in 1 paper)

On a possibility of generalization of the Hopf lemma to the case of the Navier–Stokes system with nonzero flows

A. A. Illarionov

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences, Khabarovsk
Full-text PDF (268 kB) Citations (1)
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Abstract: We examine the Hopf lemma (Leray inequality) which is used in proving the existence of a solution to a nonhomogeneous boundary value problem for the stationary Navier–Stokes equations of an incompressible fluid in a bounded domain. We study a possibility of generalization of a weakened variant of the lemma to the case of nonzero flows through the connected components of the boundary of the domain.
Keywords: Navier–Stokes equations, Hopf's lemma, Leray inequality, solenoidal extension of a vector function.
Received: 25.10.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 4, Pages 658–662
DOI: https://doi.org/10.1007/s11202-009-0073-9
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. A. Illarionov, “On a possibility of generalization of the Hopf lemma to the case of the Navier–Stokes system with nonzero flows”, Sibirsk. Mat. Zh., 50:4 (2009), 831–835; Siberian Math. J., 50:4 (2009), 658–662
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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    		Сибирский математический журнал Siberian Mathematical Journal
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