On the Stationary Flow of the Power Law Fluid in 2D
Copyright policy )On the Stationary Flow of the Power Law Fluid in 2D
The author considers stationary flow of heat-conducting power-law shear-thinning fluid in a bounded two-dimensional domain. For homogeneous boundary conditions, the author proves existence of at least one weak solution (the uniqueness remains an open problem). The proof is based on Browder-Minty and Schauder-Tikhonov theorems, and on compactness arguments.
- University of Warsaw Poland
homogeneous boundary conditions, Non-Newtonian fluids, Browder-Minty theorem, compactness, Tikhonov-Schauder theorem, heat-conducting power-law shear-thinning fluid, PDEs in connection with fluid mechanics
homogeneous boundary conditions, Non-Newtonian fluids, Browder-Minty theorem, compactness, Tikhonov-Schauder theorem, heat-conducting power-law shear-thinning fluid, PDEs in connection with fluid mechanics
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