Control of Partial Differential Equations  
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GDRE CONEDP --- Control of Partial Differential Equations
General presentation of the GDRE CONEDP

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GDRE-CNRS CONEDP federates research teams in France and Italy active on the Control of Partial Differential Equations (PDE's). It is composed of researchers in this and other related fields such as inverse problems, optimal control, dynamic programming in infinite dimension and stochastic PDE's.
Many systems in physics, mechanics, or more recently in biology or medical sciences are described by PDE's. The control of PDE's is concerned with the study of significant characteristic variables for these systems, named states, their evolution through time, and ways to influence their future stirring them close to desired targets or reconstruct their past, taking into account constraints and control costs.
The control of PDE's is more and more involved in many applications in technology. This fast growing demand from our society creates a strong dynamic of innovation and new mathematical problems in theoretical aspects as well as numerics, and requires effective built-in-control processes for applicatons.
This state-of-the-art field is very well represented in both France and Italy, for theoretical aspects as well as numerical approximation and implementation of efficient control laws and commands. It attracts bright young researchers, generates more and more evolved applications and is at the edge of many theoretical mathematical domains but also of other domains of sciences.
GDRE-CNRS CONEDP reflects the above diversity and these different interactions, as well as the mathematical challenges raising from the various fields of applications such as aeronautics, geophysics, micromechanics and mechanics, nanotechnologies, quantum chemistry, climatology, pollution and environment, networks, transportation and road traffic, biology and medical sciences or mathematical finance to quote only a part of them. On the other hand, the rapid growth in complexity of new modelled systems, generated either by high-tech technologies or by new fields of applications, and the need to control them, create new research and require new mathematical tools for the control of PDE's. The project integrates this innovative dimension both in mathematics and in applications.
The scientific aims of the project are developed through exchanges, thematic schools and mobility of researchers, in particular of young researchers, in the partner countries. GDRE-CNRS CONEDP generates a structured network of scientific cooperation and exchanges and a common European training of doctoral and post- doctoral students. France and Italy already have a long tradition of cooperation in control of PDE's, thus the scientific context is very good. Many meetings in this field of research already took place since 2008 and gathered the two communities with great success.
Moreover other connections to research teams in Chile (UMI-CNRS 2807) and in Spain, (in Bilbao and Sevilla) partners of GDR-CNRS 3362, involve research teams of the GDRE both in France and Italy. They will be stressed and developed in the framework of the GDRE-CNRS CONEDP.

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