27 citations · 45 across the 8 of their papers we have counts for
9 papers
A controllability Result for a Chemotaxis-Fluid Model
Felipe W. Chaves-Silva, Sergio Guerrero
In this paper we study the controllability of a coupled Keller-Segel-Navier-Stokes system. We show the local exact controllability of the system around some particular trajectories…
On the local exact controllability of micropolar fluids with few controls
Sergio Guerrero, Pierre Cornilleau
In this paper, we study the local exact controllability to special trajectories of the micropolar fluid systems in dimension d = 2 and d = 3. We show that controllability is possib…
Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations
Sylvain Ervedoza, Olivier Glass, Sergio Guerrero
The goal of this article is to present a local exact controllability result for the 2 and 3-dimensional compressible Navier-Stokes equations on a constant target trajectory when th…
Local controllability to trajectories for non-homogeneous 2-d incompressible Navier-Stokes equations
Mehdi Badra, Sylvain Ervedoza, Sergio Guerrero
The goal of this article is to show a local exact controllability to smooth (C2) trajectories for the 2-d density dependent incompressible Navier-Stokes equations. Our controllabil…
A uniform controllability result for the Keller-Segel system
F. W. Chaves-Silva, S. Guerrero
In this paper we study the controllability of the Keller-Segel system approximating its parabolic-elliptic version. We show that this parabolic system is locally uniform controllab…
On the cost of null-control of an artificial advection-diffusion problem
Pierre Cornilleau, Sergio Guerrero
In this paper we study the null-controllability of an artificial advection-diffusion system in dimension . Using a spectral method, we prove that the control cost goes to zero e…
Local null controllability of the N-dimensional Navier-Stokes system with N-1 scalar controls in an arbitrary control domain
Nicolás Carreño, Sergio Guerrero
In this paper we deal with the local null controllability of the N-dimensional Navier-Stokes system with internal controls having one vanishing component. The novelty of this work…
Null controllability of a parabolic system with a cubic coupling term
Jean-Michel Coron, Sergio Guerrero, Lionel Rosier
We consider a system of two parabolic equations with a forcing term present in one equation and a cubic coupling term in the other one. We prove that the system is locally null con…
Controllability and observabiliy of an artificial advection-diffusion problem
Pierre Cornilleau, Sergio Guerrero
In this paper we study the controllability of an artificial advection-diffusion system through the boundary. Suitable Carleman estimates give us the observability on the adjoint sy…