Lengeler, Daniel (2014) WEAK SOLUTIONS FOR AN INCOMPRESSIBLE, GENERALIZED NEWTONIAN FLUID INTERACTING WITH A LINEARLY ELASTIC KOITER TYPE SHELL. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 46 (4). pp. 2614-2649. ISSN 0036-1410, 1095-7154
Full text not available from this repository. (Request a copy)Abstract
In this paper we analyze the interaction of an incompressible, generalized Newtonian fluid with a linearly elastic Koiter shell whose motion is restricted to transverse displacements. The middle surface of the shell constitutes the mathematical boundary of the three-dimensional fluid domain. We show that weak solutions exist as long as the magnitude of the displacement stays below some (possibly large) bound which is determined by the geometry of the undeformed shell.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NAVIER-STOKES EQUATIONS; UNSTEADY INTERACTION; VISCOUS-FLUID; EXISTENCE; MOTION; FLOWS; Navier-Stokes; free boundary; Koiter shell |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Nov 2019 09:05 |
| Last Modified: | 29 Nov 2019 09:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/10948 |
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