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Volume 27, Issue 2
Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade

Hafedh Bousbih & Mohamed Majdoub

DOI: 10.4208/jpde.v27.n2.1

J. Part. Diff. Eq., 27 (2014), pp. 95-114.

Published online: 2014-06

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  • Abstract
In this paper we study the equations governing the unsteady motion of an incompressible homogeneous generalized second grade fluid subject to periodic boundary conditions. We establish the existence of global-in-time strong solutions for shear thickening flows in the two and three dimensional case. We also prove uniqueness of such solution without any smallness condition on the initial data or restriction on the material moduli.
  • Keywords

Non-Newtonian fluids generalized second grade fluids shear rate dependent viscosity existence uniqueness strong solution

  • AMS Subject Headings

76B03, 35L60

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

hafedh.bousbih@gmail.com (Hafedh Bousbih)

mohamed.majdoub@fst.rnu.tn (Mohamed Majdoub)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-27-95, author = {Bousbih , Hafedh and Majdoub , Mohamed}, title = {Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade}, journal = {Journal of Partial Differential Equations}, year = {2014}, volume = {27}, number = {2}, pages = {95--114}, abstract = { In this paper we study the equations governing the unsteady motion of an incompressible homogeneous generalized second grade fluid subject to periodic boundary conditions. We establish the existence of global-in-time strong solutions for shear thickening flows in the two and three dimensional case. We also prove uniqueness of such solution without any smallness condition on the initial data or restriction on the material moduli.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v27.n2.1}, url = {http://global-sci.org/intro/article_detail/jpde/5128.html} }
TY - JOUR T1 - Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade AU - Bousbih , Hafedh AU - Majdoub , Mohamed JO - Journal of Partial Differential Equations VL - 2 SP - 95 EP - 114 PY - 2014 DA - 2014/06 SN - 27 DO - http://doi.org/10.4208/jpde.v27.n2.1 UR - https://global-sci.org/intro/article_detail/jpde/5128.html KW - Non-Newtonian fluids KW - generalized second grade fluids KW - shear rate dependent viscosity KW - existence KW - uniqueness KW - strong solution AB - In this paper we study the equations governing the unsteady motion of an incompressible homogeneous generalized second grade fluid subject to periodic boundary conditions. We establish the existence of global-in-time strong solutions for shear thickening flows in the two and three dimensional case. We also prove uniqueness of such solution without any smallness condition on the initial data or restriction on the material moduli.
Bousbih , Hafedh and Majdoub , Mohamed. (2014). Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade. Journal of Partial Differential Equations. 27 (2). 95-114. doi:10.4208/jpde.v27.n2.1
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