27 citations · 60 across the 18 of their papers we have counts for
6 papers · 1 filter
A damped elastodynamics system under the global injectivity condition: Local wellposedness in -spaces
Sebastien Court
The purpose of this paper is to model mathematically mechanical aspects of cardiac tissues. The latter constitute an elastic domain whose total volume remains constant. The time de…
Feedback stabilization of a two-fluid surface tension system modeling the motion of a soap bubble at low Reynolds number: The two-dimensional case
Sebastien Court
The aim of this paper is to design a feedback operator for stabilizing in infinite time horizon a system modeling the interactions between a viscous incompressible fluid and the de…
Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies
Sébastien Court, Karl Kunisch
The aim of this paper is to prove the existence of almost global weak solutions for the unsteady nonlinear elastodynamics system in dimension or , for a range of strain en…
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. Part II: The nonlinear system
Sébastien Court
In this second part we prove that the full nonlinear fluid-solid system introduced in Part I is stabilizable by deformations of the solid that have to satisfy nonlinear constraints…
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. Part I: The linearized system
Sébastien Court
This paper is the first part of a work which consists in proving the stabilization to zero of a fluid-solid system, in dimension 2 and 3. The considered system couples a deformable…
Existence of 3D strong solutions for a system modeling a deformable solid inside a viscous incompressible fluid
Sébastien Court
In this paper we study a coupled system modeling the movement of a deformable solid immersed in a fluid. For the solid we consider a given deformation that has to obey several phys…