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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 …
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 …
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
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 …
Moving boundary problems
Moving boundary problems are ubiquitous in nature, technology, and engineering.
Examples include the human heart and heart valves interacting with blood flow …
Examples include the human heart and heart valves interacting with blood flow …
Adaptive time-step control for nonlinear fluid–structure interaction
In this work, we consider time step control for variational-monolithic fluid–structure
interaction. The fluid–structure interaction (FSI) system is based on the arbitrary Lagrangian …
interaction. The fluid–structure interaction (FSI) system is based on the arbitrary Lagrangian …
Parallel block‐preconditioned monolithic solvers for fluid‐structure interaction problems
In this work, we consider the solution of fluid‐structure interaction (FSI) problems using a
monolithic approach for the coupling between fluid and solid subproblems. The coupling of …
monolithic approach for the coupling between fluid and solid subproblems. The coupling of …
Heat–wave interaction in 2–3 dimensions: optimal rational decay rate
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 …
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 …
Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media
We study the existence of a weak solution to a regularized, moving boundary, fluid-structure
interaction problem with multi-layered poroelastic media consisting of a reticular plate …
interaction problem with multi-layered poroelastic media consisting of a reticular plate …