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- W1981510925 abstract "We consider two-dimensional flows of an incompressible non Newtonianfluid where the departure from the Navier-Stokes fluid is due to theviscosity depending on both the rate of deformation and thepressure. We assume that the resulting extra-stress is uniformlyelliptic and its derivative with respect to pressure is bounded in aproper manner. Considering just the spatially-periodic setting, onecan prove the global existence and uniqueness of the strongsolution. Using the so-called method of trajectories, we also provethe existence of an exponential attractor and estimate its fractaldimension in terms of the data of the equation." @default.
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- W1981510925 date "2005-01-01" @default.
- W1981510925 modified "2023-10-17" @default.
- W1981510925 title "On the dimension of the attractor for a class of fluids with pressure dependent viscosities" @default.
- W1981510925 doi "https://doi.org/10.3934/cpaa.2005.4.805" @default.
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