Regularity for Ostwald-de Waele type shear thickening fluids
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  • 作者:Hyeong-Ohk Bae (1)
    Kyungkeun Kang (2)
    Jihoon Lee (3)
    J枚rg Wolf (4)

    1. Department of Financial Engineering
    ; Ajou University ; Suwon ; Republic of Korea
    2. Department of Mathematics
    ; Yonsei University ; Seoul ; Korea
    3. Department of Mathematics
    ; Chung-Ang University ; Seoul ; Korea
    4. Department of Mathematics
    ; Humboldt-University of Berlin ; Unter den Linden 6 ; 10099 ; Berlin ; Germany
  • 关键词:76D03 ; 76A05 ; 35Q35 ; Shear thickening fluid ; Strong solution ; Serrin criterion ; Hausdorff dimension ; Singularity ; Regularity ; Non ; Newtonian fluid
  • 刊名:NoDEA : Nonlinear Differential Equations and Applications
  • 出版年:2015
  • 出版时间:February 2015
  • 年:2015
  • 卷:22
  • 期:1
  • 页码:1-19
  • 全文大小:299 KB
  • 参考文献:1. Bae, H.-O., Choe, H.J.: / L 鈭?/sup>-bound of weak solutions to Navier-Stokes equations. In: Proceedings of the Korea-Japan Partial Differential Equations Conference (Taejon, 1996). Lecture Notes Ser. 39. Seoul Nat. Univ., Seoul, p. 13 (1997)
    2. Bae H.-O., Choe H.J.: A regularity criterion for the Navier-Stokes equations. Comm. Partial Differ. Equ. 32, 1173鈥?187 (2007) CrossRef
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    4. Bae, H.-O., Choe, H.J., Kim, D.W.: Regularity and singularity of weak solutions to Ostwald-de Waele flows. International Conference on Differential Equations and Related Topics (Pusan, 1999). J. Korean Math. Soc. 37(6), 957鈥?75 (2000)
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    16. Malek, J., Necas, J., Ruzicka, M.: On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case / p 鈮?2. Adv. Differ. Equ. 6(3), 257鈥?02 (2001)
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  • 刊物类别:Mathematics and Statistics
  • 刊物主题:Mathematics
    Analysis
  • 出版者:Birkh盲user Basel
  • ISSN:1420-9004
文摘
We obtain local in time existence of strong solution for non-Newtonian fluid with shear thickening viscosity. We also obtain the Hausdorff dimension of time singular set, and a Serrin type regularity criterion.

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