Global well-posedness and exponential decay for a fluid-structure model with small data
DOI10.1512/iumj.2023.72.9619arXiv2110.15284OpenAlexW4390043507MaRDI QIDQ6186780
Igor Kukavica, Wojciech S. Ożański
Publication date: 10 January 2024
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.15284
Navier-Stokes equationsglobal solutionsfluid-structure interactionlong time behaviordamped wave equation
Navier-Stokes equations for incompressible viscous fluids (76D05) Linear elasticity with initial stresses (74B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Navier-Stokes equations (35Q30) Linear waves in solid mechanics (74J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
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- Existence of a weak solution to a fluid-elastic structure interaction problem with the Navier slip boundary condition
- Regular solutions of a problem coupling a compressible fluid and an elastic structure
- Solutions to a fluid-structure interaction free boundary problem
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
- A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- Motion of an elastic solid inside an incompressible viscous fluid
- Analysis of a linear fluid-structure interaction problem
- Sensitivity analysis for a free boundary fluid-elasticity interaction
- Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls
- Riccati theory and singular estimates for a Bolza control problem arising in linearized fluid-structure interaction
- Existence of weak solutions for the three-dimensional motion of an elastic structure in an incompressible fluid
- On well-posedness for a free boundary fluid-structure model
- Small data global existence for a fluid-structure model
- Smoothness of weak solutions to a nonlinear fluid-structure interaction model
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Well-posedness for the compressible Navier–Stokes–Lamé system with a free interface
- Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure
- Weak solutions for a fluid-elastic structure interaction model
