Geodesic
On an evolutionary nonlinear fluid model in the limiting case
Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 421-428
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We consider the two-dimesional spatially periodic problem for an evolutionary system describing unsteady motions of the fluid with shear-dependent viscosity under general assumptions on the form of nonlinear stress tensors that includes those with $p$-structure. The global-in-time existence of a weak solution is established. Some models where the nonlinear operator corresponds to the case $p=1$ are covered by this analysis.
We consider the two-dimesional spatially periodic problem for an evolutionary system describing unsteady motions of the fluid with shear-dependent viscosity under general assumptions on the form of nonlinear stress tensors that includes those with $p$-structure. The global-in-time existence of a weak solution is established. Some models where the nonlinear operator corresponds to the case $p=1$ are covered by this analysis.
DOI : 10.21136/MB.2001.134014
Classification : 35D05, 35Q35, 76D03
Keywords: shear-dependent viscosity; incompressible fluid; global-in-time existence; weak solution 
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Luckhaus, Stephan; Málek, Josef. On an evolutionary nonlinear fluid model in the limiting case. Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 421-428. doi: 10.21136/MB.2001.134014

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