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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 3, Pages 33–53
DOI: https://doi.org/10.4213/faa2961 (Mi faa2961) 		 
This article is cited in 26 scientific papers (total in 26 papers)

New Approach to the Solvability of Generalized Navier–Stokes Equations

V. V. Zhikov

Vladimir State Humanitarian University
Full-text PDF (292 kB) Citations (26) English version article
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DOI: https://doi.org/10.4213/faa2961
Abstract: We propose a new approach to prove the existence of weak solutions to generalized (or modified) Navier–Stokes equations. We also consider systems presently well known from the theory of non-Newtonian electrorheological fluids.
Keywords: Navier–Stokes equation, convective term, energy identity, compensated compactness lemma.
Received: 13.10.2008
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 3, Pages 190–207
DOI: https://doi.org/10.1007/s10688-009-0027-9
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: V. V. Zhikov, “New Approach to the Solvability of Generalized Navier–Stokes Equations”, Funktsional. Anal. i Prilozhen., 43:3 (2009), 33–53; Funct. Anal. Appl., 43:3 (2009), 190–207
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa2961
  • https://www.mathnet.ru/eng/faa/v43/i3/p33
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:158
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