Global regularity for systems with p-structure depending on the symmetric gradient

Author:

Berselli Luigi C.1ORCID,Růžička Michael2

Affiliation:

1. Dipartimento di Matematica , Università di Pisa , Via F. Buonarroti 1/c, 56127 Pisa , Italy

2. Institute of Applied Mathematics , Albert-Ludwigs-University Freiburg , Eckerstr. 1, 79104 Freiburg , Germany

Abstract

Abstract In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having p-structure depending only on the symmetric part of the gradient.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Reference24 articles.

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3. L. C. Berselli, L. Diening and M. Růžička, Existence of strong solutions for incompressible fluids with shear dependent viscosities, J. Math. Fluid Mech. 12 (2010), no. 1, 101–132.

4. L. C. Berselli and M. Růžička, Global regularity properties of steady shear thinning flows, J. Math. Anal. Appl. 450 (2017), no. 2, 839–871.

5. R. B. Bird, R. C. Armstrong and O. Hassager, Dynamic of Polymer Liquids, 2nd ed., John Wiley, New York, 1987.

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