On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
We address a fluid–structure system which consists of the incompressible Navier–Stokes
equations and a damped linear wave equation defined on two dynamic domains. The …
equations and a damped linear wave equation defined on two dynamic domains. The …
Existence of a weak solution to a fluid–elastic structure interaction problem with the Navier slip boundary condition
We study a nonlinear, moving boundary fluid–structure interaction (FSI) problem between an
incompressible, viscous Newtonian fluid, modeled by the 2D Navier–Stokes equations, and …
incompressible, viscous Newtonian fluid, modeled by the 2D Navier–Stokes equations, and …
Fluid-structure interaction between an incompressible, viscous 3D fluid and an elastic shell with nonlinear Koiter membrane energy
The long-time existence of a weak solution is proved for a nonlinear, fluid-structure
interaction (FSI) problem between an incompressible, viscous fluid and a semilinear …
interaction (FSI) problem between an incompressible, viscous fluid and a semilinear …
A variational approach to hyperbolic evolutions and fluid-structure interactions
B Benešová, M Kampschulte… - Journal of the …, 2023 - content.ems.press
We show the existence of a weak solution for a system of partial differential equations
describing the motion of a flexible solid inside a fluid: A nonlinear, viscoelastic, n …
describing the motion of a flexible solid inside a fluid: A nonlinear, viscoelastic, n …
On well-posedness for a free boundary fluid-structure model
On well-posedness for a free boundary fluid-structure model | Journal of Mathematical Physics |
AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …
AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers AIP …
Maximal-in-time existence and uniqueness of strong solution of a 3D fluid-structure interaction model
In this work, we study a system coupling the incompressible Navier--Stokes equations in a
cylindrical type domain with an elastic structure, governed by a damped shell equation …
cylindrical type domain with an elastic structure, governed by a damped shell equation …
Small data global existence for a fluid-structure model
We address the system of partial differential equations modeling motion of an elastic body
inside an incompressible fluid. The fluid is modeled by the incompressible Navier–Stokes …
inside an incompressible fluid. The fluid is modeled by the incompressible Navier–Stokes …
Heat–wave interaction in 2–3 dimensions: optimal rational decay rate
G Avalos, I Lasiecka, R Triggiani - Journal of Mathematical Analysis and …, 2016 - Elsevier
In this paper, we consider a simplified version of a fluid–structure PDE model which has
been of longstanding interest within the mathematical and biological sciences. In it, a n …
been of longstanding interest within the mathematical and biological sciences. In it, a n …
On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams
O Kreml, V Mácha, Š Nečasová, S Trifunović - Nonlinearity, 2024 - iopscience.iop.org
In this paper, we study a nonlinear fluid-structure interaction problem between a'square-
root'viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid …
root'viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid …
On the interaction problem between a compressible fluid and a Saint-Venant Kirchhoff elastic structure
M Boulakia, S Guerrero - 2017 - projecteuclid.org
In this paper, we consider an elastic structure immersed in a compressible viscous fluid. The
motion of the fluid is described by the compressible Navier-Stokes equations whereas the …
motion of the fluid is described by the compressible Navier-Stokes equations whereas the …