Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid (Q1932137)
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scientific article; zbMATH DE number 6126403
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid |
scientific article; zbMATH DE number 6126403 |
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Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid (English)
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17 January 2013
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Summary: In this paper we study a three-dimensional fluid-structure interaction problem. The motion of the fluid is modeled by the Navier-Stokes equations and we consider for the elastic structure a finite dimensional approximation of the equation of linear elasticity. The time variation of the fluid domain is not known a priori, so we deal with a free boundary value problem. Our main result yields the local in time existence and uniqueness of strong solutions for this system.
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fluid-structure interaction
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existence and uniqueness of strong solutions
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incompressible Navier-Stokes equations
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deformable structure
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