Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions
From MaRDI portal
Publication:2693539
DOI10.4171/AIHPC/33WikidataQ114021534 ScholiaQ114021534MaRDI QIDQ2693539
Boris Muha, Sebastian Schwarzacher
Publication date: 21 March 2023
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01962
Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shells (74K25) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Time-Periodic Weak Solutions for an Incompressible Newtonian Fluid Interacting with an Elastic Plate ⋮ Navier-Stokes-Fourier fluids interacting with elastic shells ⋮ Compressible fluids interacting with plates: regularity and weak-strong uniqueness ⋮ Construction of a right inverse for the divergence in non-cylindrical time dependent domains ⋮ Martingale solutions in stochastic fluid-structure interaction ⋮ The existence of a weak solution for a compressible multicomponent fluid structure interaction problem ⋮ On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate ⋮ An inviscid free boundary fluid-wave model ⋮ Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts ⋮ Unrestricted deformations of thin elastic structures interacting with fluids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of global strong solutions to a beam-fluid interaction system
- On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid
- A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
- A note on the trace theorem for domains which are locally subgraph of a Hölder continuous function
- Solutions to a fluid-structure interaction free boundary problem
- Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- Long-time behavior of a coupled heat-wave system arising in fluid-structure interaction
- Steady flow of a Navier-Stokes liquid past an elastic body
- Existence for a three-dimensional steady-state fluid-structure interaction problem
- A generalization of the Aubin-Lions-Simon compactness lemma for problems on moving domains
- 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
- An incompressible polymer fluid interacting with a Koiter shell
- Well posedness of nonlinear parabolic systems beyond duality
- Existence of a solution to a fluid-multi-layered-structure interaction problem
- Rational decay rates for a PDE heat-structure interaction: a frequency domain approach
- Existence of local strong solutions to fluid-beam and fluid-rod interaction systems
- Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell
- Compressible fluids interacting with plates: regularity and weak-strong uniqueness
- Small data global existence for a fluid-structure model
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Navier–Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell
- Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate
- Weak-Strong Uniqueness for an Elastic Plate Interacting with the Navier--Stokes Equation
- The Viscous Surface Wave Problem with Generalized Surface Energies
- Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure
- The Interaction of the 3D Navier–Stokes Equations with a Moving Nonlinear Koiter Elastic Shell
- On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
- Justification of a two-dimensional nonlinear shell model of Koiter's type
- Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy
- Navier-Stokes-Fourier fluids interacting with elastic shells
This page was built for publication: Existence and regularity of weak solutions for a fluid interacting with a non-linear shell in three dimensions
