Strong solutions to a nonlinear fluid structure interaction system
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Publication:833294
DOI10.1016/j.jde.2009.06.005zbMath1180.35415OpenAlexW2021828921MaRDI QIDQ833294
Mohammed Ziane, Igor Kukavica, Amjad M. Tuffaha
Publication date: 12 August 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.06.005
Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
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Cites Work
- Strong solutions to a nonlinear fluid structure interaction system
- Non homogeneous boundary value problems for second order hyperbolic operators
- Motion of an elastic solid inside an incompressible viscous fluid
- Analysis of a linear fluid-structure interaction problem
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Smoothness of weak solutions to a nonlinear fluid-structure interaction model
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