CONFERENCE

Controllability of Partial Differential Equations and Applications
November 9 -13, 2015

In the recent years, the theory of control of partial differential equations (PDEs) has tremendously evolved and the field is rapidly growing: control of conservation laws, of nonlinear PDEs, of degenerate equations, of equations with delay or memory, of systems of PDEs. Interactions between finite and infinite dimensions are as well to be mentioned both at the theoretical level and for the discretization of some continuous control problems. These examples express well the wide range of challenges that researchers face at both the theoretical and methodological levels and also for developments towards applications and the numerical treatment of control questions. In fact, the issue of the computation on an actual control, from the theoretical problem to its implementation and its robustness, is a key aspect in regards of applications that we wish to cover in this conference. The objectives of the conference are: 1/ The review of the recent advances and the determination of new and promising research directions. 2/ The invitation of confirmed researchers. 3/ The invitation of young researchers, in particular those in search of permanent positions, who will contribute to set out new research directions. 4/ The gathering of a large group of PhD students in France and other countries, to participate and to orient their work towards promising directions and to favor collaborations. The last two points are essential for a rapidly growing discipline. The GDRE ConEDP and LEM2I as well as international collaborations (France-Japan, Tassili,…) will guarantee traveling and an international participation to the conference.

Scientific Committee

Fatiha Alabau-Boussouira (Université de Metz)
Franck Boyer (Aix-Marseille Université)
Belhassen Dehman (Université Tunis-El Manar)
Enrique Fernandez Cara (University of Sevilla)

Organizing Committee

Michel Cristofol (Aix-Marseille Université)
Yves Dermenjian (Aix-Marseille Université)
Patricia Gaitan (Aix-Marseille Université)
Jérôme Le Rousseau (Université d’Orléans)
Masahiro Yamamoto (University of Tokyo)

Speakers

On the optimization of traffic flow at a junction

Exact boundary controllability of a system of mixed order with
essential spectrum in 2-D

Two Results of Controllability of Hyperbolic Conservation Laws

Observation of solutions of the Neutron Transport Equation in the
diffusion limit

Control of degenerate parabolic equations of hypoelliptic type

An Optimal Control Problem for the Treatment of Metastatic Cancers

Dirichlet-Neumann Shape Optimization Problems

Control and Stabilization of Degenerate Evolution Equations in One Space Dimension

Linear transformations for the stabilization of nonlinear partial differential equations

On the Stabilization of Incompressible Navier-Stokes Equations in a 2d Channel with a Normal Control

Control of the Motion of a Set of Particles

Controllability of linear parabolic systems: New phenomena

Mathematical Modeling of the Microtubule Dynamic Instabilities

Asymptotic properties of solutions to the elastic equation in a half space

Controllability for the Stokes system

Inverse problems for linear PDEs using mixed formulations

Some Results on Timoshenko Systems

Stabilization of Wave Equations with Switching Time Delay

  • Luc Robbiano (Université de Versailles St-Quentin-en-Yvelines) 

A Spectral Inequality for the bi-Laplace Operator

Some Numerical Methods for Optimal Control Problems in Quantum Chemistry

On Hierarchic Control for Coupled Heat Equations

Null Controllability for the Stokes System Interacting with the Heat Equation

Null controllability of heat equation in the presence of singularities