Motion of an elastic solid inside an incompressible viscous fluid

DOI10.1007/s00205-004-0340-7zbMath1064.74057arXivmath/0407365OpenAlexW2079516652MaRDI QIDQ1776124

Daniel Coutand, Steve Shkoller

Publication date: 20 May 2005

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407365

zbMATH Keywords

weak solutionexistencefixed-point theoremtime-dependent Navier-Stokes equationslinear Kirchhoff elastic material

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Classical linear elasticity (74B05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

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