A short note on Lq theory for Stokes problem with a pressure-dependent viscosity

Title:

A short note on Lq theory for Stokes problem with a pressure-dependent viscosity

Creator:

Mácha, Václav

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1ff0adf0-849c-4c19-96f3-b2539f12ebcc
uuid:1ff0adf0-849c-4c19-96f3-b2539f12ebcc
issn:0011-4642

Subject:

matematika, viskozita, mathematics, viscosity, Stokes problem, Lq theory, pressure-dependent viscosity, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We study higher local integrability of a weak solution to the steady Stokes problem. We consider the case of a pressure- and shear-rate-dependent viscosity, i.e., the elliptic part of the Stokes problem is assumed to be nonlinear and it depends on p and on the symmetric part of a gradient of u, namely, it is represented by a stress tensor T (Du, p):= v(p, |D|2)D which satisfies r-growth condition with r \in (1, 2]. In order to get the main result, we use Calderón-Zygmund theory and the method which was presented for example in the paper Caffarelli, Peral (1998)., Václav Mácha., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

317-329

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:2

Harvested from:

CDK

Metadata only:

false