Conveners
Fluid-structure Interactions: MS-9-1
- Igor Kukavica (University of Southern California)
Fluid-structure Interactions: MS-9-2
- Sebastian Schwarzacher
Fluid-structure Interactions: MS-9-3
- Yadong Liu (Nanjing Normal University)
Description
Organisers: Igor Kukavica, Yadong Liu, Sebstian Schwarzacher
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Boris Muha (University of Zagreb Faculty of Science)10/09/2026, 10:30Fluid-structure Interactions
We consider the abstract evolution problem $u'(t)=Au(t)+f(t)$ in a
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Hilbert space, where $A$ generates a strongly stable but not uniformly
stable $C_0$-semigroup $S(t)$, the typical situation for partially
dissipative systems such as coupled heat--wave models, which arise as
simplifications of fluid--structure interaction. In this setting
classical resonance, i.e.\ an eigenvalue of $A$ on... -
Krutika Tawri (University of Washington)10/09/2026, 11:00Fluid-structure Interactions
In this talk, we will consider a fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the 2D Navier-Stokes equations, through a thin deformable elastic tube, elastodynamics of which is modeled by 1D plate equations. The fluid and the structure are nonlinearly coupled at the fluid-structure interface. The fluid flow is driven by dynamic pressure data...
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Sebastian Schwarzacher10/09/2026, 11:30Fluid-structure Interactions
In this lecture, I will summarize how variational methods can be used to establish the existence of weak solutions for fluid–structure interaction problems. In particular, I will discuss how PDEs with inertia can be approximated variationally using gradient-flow techniques. I will focus on results for largely deforming bulk solids interacting with fluids governed by the Navier–Stokes...
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Thomas Richter (Otto-von-Guericke Universität Magdeburg)10/09/2026, 14:00Fluid-structure Interactions
Living organisms such as fish propel themselves through periodic, self-generated deformations of their body shape. Modeling this motion within a fluid-structure interaction (FSI) framework requires a careful separation of the active deformation, which is prescribed and drives the motion, from the passive, resulting motion of the body, which follows the laws of rigid body dynamics. In this...
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Dominic Breit10/09/2026, 14:30Fluid-structure Interactions
We consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell is perfectly elastic while the fluid is governed by the Navier--Stokes equations. Consequently, damping within the coupled system comes entirely from the parabolic fluid subsystem. Our main result is the construction of a...
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Matthieu Hillairet (Université de Montpellier)10/09/2026, 15:00Fluid-structure Interactions
Computing asymptotics of the Stokes problem in thin domains is a crucial issue in the analysis of fluid/solid problems. It enables a sharp description of the relative motion of particles that are close to contact and it is also a crucial step toward computing effective properties of mixtures in a dense regime. First results trace back to the book of Happel and Brenner (65’) using formal...
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Pei SU11/09/2026, 09:00Fluid-structure Interactions
We study the interaction between a rigid body and an inviscid compressible fluid in a bounded domain. The fluid is described by the compressible Euler equations, while the rigid body obeys the laws of linear and angular momentum. We prove the existence and uniqueness of classical solutions to the resulting coupled fluid–structure interaction system. The analysis relies on a suitable...
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Sarka Necasova (Institute of Mathematics, Czech Academy of Sciences)11/09/2026, 09:30Fluid-structure Interactions
We investigate the simultaneous low Mach number and vanishing viscosity limit for the three dimensional compressible Navier-Stokes equations coupled with the motion of a rigid body. The fluid satisfies the no-slip boundary condition on the body surface, while the rigid body evolves according to Newton's laws driven by the fluid stresses. Using the unique local strong solution of the...
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Prof. Arnab Roy (Basque Center for Applied Mathematics)11/09/2026, 10:00Fluid-structure Interactions
We consider the motion of a large number of heavy particles in
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a Newtonian fluid occupying a bounded spatial domain. When we say ``heavy", we mean a particle with a mass density that approaches infinity at an appropriate rate as its radius vanishes. We show that the collective effect of heavy particles on the fluid motion is similar to the Brinkman perturbation of the Navier-Stokes system... -
Igor Kukavica (University of Southern California)11/09/2026, 10:30Fluid-structure Interactions
We address a system of partial differential equations modeling the motion of an elastic body inside an incompressible fluid. The fluid is governed by the incompressible Navier-Stokes equations, while the structure is represented by the wave equation. In this talk, we review established local and global existence theorems and discuss recent developments in their long-time dynamics. These...
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