6 papers
Bilinear controllability for the linear KdV-Schr{ö}dinger equation
Rémi Buffe, Alessandro Duca, Hugo Parada
We study the controllability of a linear KdV-Schr{ö}dinger equation on the one-dimensional torus via purely imaginary bilinear controls. Considering controls spanning a suitable fi…
Small-time estimates for a real moment problem with two-term Weyl spectral law
Rémi Buffe, Alessandro Duca
In this work, we first study the solvability of moment problems involving real exponentials and provide explicit estimates of the associated control cost. The result holds when the…
An optimal spectral inequality for degenerate operators
Rémi Buffe, Kim Dang Phung, Amine Slimani
In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application…
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…
Observation estimate for the heat equations with Neumann boundary condition via logarithmic convexity
Rémi Buffe, Kim Dang Phung
We prove an inequality of Hölder type traducing the unique continuation property at one time for the heat equation with a potential and Neumann boundary condition. The main feature…
Control and exponential stability for a transmission problem of a viscoelastic wave equation
Remi Buffe, Marcelo Cavalcanti, Valéria Domingos Cavalcanti +1
In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium wit…