Hölder continuity of velocity gradients for shear-thinning fluids under perfect slip boundary conditions

Author:

Mácha Václav,Tichý Jakub

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference21 articles.

1. Arada, N.: Optimal control of shear-thinning fluids. SIAM J. Control Optim. 50(4), 2515–2542 (2012)

2. Arada, N.: Optimal control of shear-thickening flows. SIAM J. Control Optim. 51(3), 1940–1961 (2013)

3. Cantor, M., Matovsky, J,: Helmholtz decomposition of $$W^{p,s}$$ W p , s vector fields, Differential geometry, calculus of variations, and theis applications, Lecture notes in Pure and Appl. Math., vol. 100, pp. 139–147, Dekker, New York (1985)

4. John, O., Stará, J.: On the regularity of weak solutions to parabolic systems in two spatial dimensions. Commun. Partial Differ. Equ. 23, 1159–1170 (1998)

5. Kaplický, P.: Regularity of flows of a non-Newtonian fluid subject to Dirichlet boundary conditions. J. Anal. Appl. 24(3), 467–486 (2005)

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