activity
20102022
most citedOn the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems

54 citations · 134 across the 15 of their papers we have counts for

collaborators

17 papers

math.AP2022

Null-controllability of cascade reaction-diffusion systems with odd coupling terms

Kévin Le Balc'h, Takéo Takahashi

In this paper, we consider a nonlinear system of two parabolic equations, with a distributed control in the first equation and an odd coupling term in the second one. We prove that…

math.AP2021

Controllability of a simplified fluid-structure interaction system

Rémi Buffe, Takéo Takahashi

We are interested by the controllability of a fluid-structure interaction system where the fluid is viscous and incompressible and where the structure is elastic and located on a p…

math.AP2021

Controllability results for cascade systems of coupled -dimensional Stokes and Navier-Stokes systems by scalar controls

Takéo Takahashi, Luz de Teresa, Ying Wu-Zhang

In this paper, we deal with the controllability properties of a system of coupled Stokes systems or coupled Navier-Stokes systems. We show the null-controllability of such…

math.AP2020★ 19 cited

Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation

Debayan Maity, Takéo Takahashi

The article is devoted to the mathematical analysis of a fluid-structure interaction system where the fluid is compressible and heat conducting and where the structure is deformabl…

math.OC2020

Feedback stabilization of parabolic systems with input delay

Imene Aicha Djebour, Takéo Takahashi, Julie Valein

This work is devoted to the stabilization of parabolic systems with a finite-dimensional control subjected to a constant delay. Our main result shows that the Fattorini-Hautus crit…

math.AP2020

Remark on the global null controllability for a viscous Burgers-particle system with particle supported control

Mythily Ramaswamy, Arnab Roy, Takéo Takahashi

This paper is devoted to study the controllability of a one-dimensional fluid-particle interaction model where the fluid follows the viscous Burgers equation and the point mass obe…

math.AP2020

Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid

Toshiaki Hishida, Ana Leonor Silvestre, Takéo Takahashi

Consider a rigid body immersed in an infinitely extended Navier-Stokes liquid and the motion of the body-fluid interaction system described fro…

math.AP2019

Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions

Matthieu Hillairet, Takéo Takahashi

We consider a fluid-structure interaction system composed by a rigid ball immersed into a viscous incompressible fluid. The motion of the structure satisfies the Newton laws and th…

math.AP2019

Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions

Claudia Gariboldi, Takéo Takahashi

We consider an optimal control problem for the Navier-Stokes system with Navier slip boundary conditions. We denote by the friction coefficient and we analyze the asymptotic be…

math.AP2019★ 1 cited

Stabilization of a rigid body moving in a compressible viscous fluid

Arnab Roy, Takéo Takahashi

We consider the stabilizability of a fluid-structure interaction system where the fluid is viscous and compressible and the structure is a rigid ball. The feedback control of the s…

math.AP2019

Gevrey regularity for a system coupling the Navier-Stokes system with a beam: the non-flat case

Mehdi Badra, Takéo Takahashi

We consider a bi-dimensional viscous incompressible fluid in interaction with a beam located at its boundary. We show the existence of strong solutions for this fluid-structure int…

math.AP2017★ 24 cited

Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid

Bernhard H. Haak, Debayan Maity, Takéo Takahashi +1

We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is de…

math.AP2015

Small moving rigid body into a viscous incompressible fluid

Christophe Lacave, Takéo Takahashi

We consider a single disk moving under the influence of a 2D viscous fluid and we study the asymptotic as the size of the solid tends to zero.If the density of the solid is indepen…

math.OC2014★ 4 cited

Elastic energy of a convex body

Chiara Bianchini, Antoine Henrot, Takeo Takahashi

In this paper a Blaschke-Santaló diagram involving the area, the perimeter and the elastic energy of planar convex bodies is considered. More precisely we give a description of set…

math.DG2014

On the minimization of total mean curvature

Jeremy Dalphin, Antoine Henrot, Simon Masnou +1

In this paper we are interested in possible extensions of an inequality due to Minkowski: valid for any regular open set $Ω\subs…

math.AP2014★ 54 cited

On the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems

Mehdi Badra, Takéo Takahashi

In this paper, we consider the well-known Fattorini's criterion for approximate controllability of infinite dimensional linear systems of type . We precise the result pr…

math.AP2010★ 32 cited

Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid

Olivier Glass, Franck Sueur, Takeo Takahashi

We consider the motion of a rigid body immersed in an incompressible perfect fluid which occupies a three-dimensional bounded domain. For such a system the Cauchy problem is well-p…