Abstract

Two-dimensional boundary-value problems describing a slow stationary flow of Newtonian fluid are considered in the case where the dissipative potential is of power growth close to 2. The regularity of this problem is investigated under the condition that the dissipative potential depends only on the module of the strain velocity tensor. The integrability of the second-order derivatives of the solution is established near a plane part of the boundary. The Hölder continuity of the strain velocity tensor is also proved. Bibliography: 8 titles.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.