28 citations · 47 across the 12 of their papers we have counts for
7 papers · 1 filter
On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities
Jean-Michel Coron, Shengquan Xiang, Ping Zhang
In this paper, we study, in the semiclassical sense, the global approximate controllability in small time of the quantum density and quantum momentum of the 1-D semiclassical cubic…
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
Giuseppe Maria Coclite, Jean-Michel Coron, Nicola De Nitti +2
We deal with the problem of approximating a scalar conservation law by a conservation law with nonlocal flux. As convolution kernel in the nonlocal flux, we consider an exponential…
On the small-time local controllability of a KdV system for critical lengths
Jean-Michel Coron, Armand Koenig, Hoai-Minh Nguyen
This paper is devoted to the local null-controllability of the nonlinear KdV equation equipped the Dirichlet boundary conditions using the Neumann boundary control on the right. Ro…
Input-to-State Stability in sup norms for hyperbolic systems with boundary disturbances
Georges Bastin, Jean-Michel Coron, Amaury Hayat
We give sufficient conditions for Input-to-State Stability in norm of general quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation…
On the controllability of the Navier-Stokes equation in spite of boundary layers
Jean-Michel Coron, Frédéric Marbach, Franck Sueur
In this proceeding we expose a particular case of a recent result obtained by the authors regarding the incompressible Navier-Stokes equations in a smooth bounded and simply connec…
Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold
Shuxia Tang, Jixun Chu, Peipei Shang +1
Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg-de Vries equation posed on a finite interval . Th…