Bibliographic Details
| Title: |
Boundary value problems for the Stokes equations with jumps in open sets. |
| Authors: |
Medkova, Dagmar, Varnhorn, Werner |
| Superior Title: |
Applicable Analysis; Jul2008, Vol. 87 Issue 7, p829-849, 21p |
| Subject Terms: |
MATHEMATICAL research, BOUNDARY value problems, COMPLEX variables, ZETA potential, DIRICHLET principle, INTEGRAL equations |
| Abstract: |
A boundary value problem for the Stokes system is studied in a cracked domain in n, n > 2, where the Dirichlet condition is specified on the boundary of the domain. The jump of the velocity and the jump of the stress tensor in the normal direction are prescribed on the crack. We construct a solution of this problem in the form of appropriate potentials and determine unknown source densities via integral equation systems on the boundary of the domain. The solution is given explicitly in the form of a series. As a consequence, a maximum modulus estimate for the Stokes system is proved. [ABSTRACT FROM AUTHOR] |
|
Copyright of Applicable Analysis is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Complementary Index |
