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Izvestiya: Mathematics, 1998, Volume 62, Issue 1, Pages 55–113
DOI: https://doi.org/10.1070/im1998v062n01ABEH000183 (Mi im183) 		 
This article is cited in 7 scientific papers (total in 8 papers)

Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors

O. A. Ladyzhenskaya, G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
English version PDF (471 kB) Citations (8)
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DOI: https://doi.org/10.1070/im1998v062n01ABEH000183
Abstract: This article deals with two-dimensional initial boundary value problems of the dynamics of generalized Newtonian liquids. We prove theorems on the smoothness of solutions of these problems and estimate the Hausdorff and fractal dimensions of their attractors.
Received: 22.04.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 1, Pages 59–122
DOI: https://doi.org/10.4213/im183
Bibliographic databases:
MSC: 35B65, 76D99
Language: English
Original paper language: Russian
Citation: O. A. Ladyzhenskaya, G. A. Seregin, “Smoothness of solutions of equations describing generalized Newtonian flows and estimates for the dimensions of their attractors”, Izv. RAN. Ser. Mat., 62:1 (1998), 59–122; Izv. Math., 62:1 (1998), 55–113
Citation in format AMSBIB
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  • https://doi.org/10.1070/im1998v062n01ABEH000183
  • https://www.mathnet.ru/eng/im/v62/i1/p59
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:620
    Russian version PDF:274
    English version PDF:27
    References:78
    First page:2
     
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