Time-Periodic Weak Solutions for an Incompressible Newtonian Fluid Interacting with an Elastic Plate
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Publication:5092887
DOI10.1137/21M1458946zbMath1494.35014arXiv2111.06239OpenAlexW3213153479MaRDI QIDQ5092887
Claudiu Mîndrilă, Sebastian Schwarzacher
Publication date: 26 July 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.06239
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Periodic solutions to PDEs (35B10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shells (74K25) Navier-Stokes equations (35Q30) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
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- A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- Existence of time-periodic solutions to the Navier-Stokes equations around a moving body
- Compressible fluids interacting with a linear-elastic shell
- 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
- Time-periodic weak solutions to incompressible generalized Newtonian fluids
- The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary
- Viscous flow past a body translating by time-periodic motion with zero average
- On the self-propulsion of a rigid body in a viscous liquid by time-periodic boundary data
- Existence of a weak solution to the fluid-structure interaction problem in 3D
- Nonlinear acoustics: Blackstock-Crighton equations with a periodic forcing term
- Existence of time-periodic strong solutions to a fluid-structure system
- Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell
- On time-periodic flow of a viscous liquid past a moving cylinder
- Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions
- Global existence for the interaction of a Navier-Stokes fluid with a linearly elastic shell
- Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
- A First Course in Sobolev Spaces
- Time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space with a non-zero drift term: Asymptotic profile at spatial infinity
- Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model
- Moving boundary problems
- Periodic Solutions and Torsional Instability in a Nonlinear Nonlocal Plate Equation
- A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
- Existence of weak solutions for an interaction problem between an elastic structure and a compressible viscous fluid