Local controllability of a 1-D Schrödinger equation

K Beauchard - Journal de mathématiques pures et appliquées, 2005 - Elsevier
We consider a nonrelativistic charged particle in a 1-D box of potential. This quantum system
is subject to a control, which is a uniform electric field. It is represented by a complex …

Controllability of a quantum particle in a moving potential well

K Beauchard, JM Coron - Journal of Functional Analysis, 2006 - Elsevier
We consider a nonrelativistic charged particle in a 1D moving potential well. This quantum
system is subject to a control, which is the acceleration of the well. It is represented by a …

Small-time global stabilization of the viscous Burgers equation with three scalar controls

JM Coron, S Xiang - Journal de Mathématiques Pures et Appliquées, 2021 - Elsevier
We construct explicit time-varying feedback laws leading to the global (null) stabilization in
small time of the viscous Burgers equation with three scalar controls. Our feedback laws use …

On the controllability of the 1-D isentropic Euler equation

O Glass - Journal of the European Mathematical Society, 2007 - ems.press
We study the controllability problem for the one-dimensional Euler isentropic system, both in
Eulerian and Lagrangian coordinates, by means of boundary controls, in the context of weak …

[HTML][HTML] Suppressing instability in a Vlasov–Poisson system by an external electric field through constrained optimization

L Einkemmer, Q Li, L Wang, Y Yunan - Journal of Computational Physics, 2024 - Elsevier
Maintaining the stability and shape of a plasma is a crucial task in many technological
applications ranging from beam shaping to fusion energy. This is often challenging as …

[HTML][HTML] Simultaneous local exact controllability of 1D bilinear Schrödinger equations

M Morancey - Annales de l'Institut Henri Poincare (C) Non Linear …, 2014 - Elsevier
We consider N independent quantum particles, in an infinite square potential well coupled to
an external laser field. These particles are modelled by a system of linear Schrödinger …

Controllability and asymptotic stabilization of the Camassa–Holm equation

O Glass - Journal of Differential Equations, 2008 - Elsevier
Controllability and asymptotic stabilization of the Camassa–Holm equation Page 1 J.
Differential Equations 245 (2008) 1584–1615 www.elsevier.com/locate/jde Controllability and …

On the small-time local controllability of a quantum particle in a moving one-dimensional infinite square potential well

JM Coron - Comptes Rendus. Mathématique, 2006 - comptes-rendus.academie-sciences …
We consider a quantum charged particle in a one-dimensional infinite square potential well
moving along a line. We control the acceleration of the potential well. The local controllability …

Controllablity of a quantum particle in a 1D variable domain

K Beauchard - ESAIM: Control, Optimisation and Calculus of …, 2008 - cambridge.org
We consider a quantum particle in a 1D infinite square potential well with variable length. It
is a nonlinear control system in which the state is the wave function ϕ of the particle and the …

Controlling a Vlasov–Poisson Plasma by a Particle-in-Cell Method Based on a Monte Carlo Framework

J Bartsch, P Knopf, S Scheurer, J Weber - SIAM Journal on Control and …, 2024 - SIAM
The Vlasov–Poisson system describes the time evolution of a plasma in the so-called
collisionless regime. The investigation of a high-temperature plasma that is influenced by an …