Lengeler, Daniel and Ruzicka, Michael (2014) Weak Solutions for an Incompressible Newtonian Fluid Interacting with a Koiter Type Shell. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 211 (1). pp. 205-255. ISSN 0003-9527, 1432-0673
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In this paper we analyse the interaction of an incompressible Newtonian fluid with a linearly elastic Koiter shell whosemotion 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 that rules out selfintersections of the shell.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NAVIER-STOKES EQUATIONS; VISCOUS-FLUID; UNSTEADY INTERACTION; ELASTIC PLATE; EXISTENCE; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Nov 2019 14:06 |
| Last Modified: | 29 Nov 2019 14:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/11100 |
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