Flow control in the presence of shocks
 
 
Description:  Flow control is one of the most challenging and relevant topics connecting the theory of Partial Differential Equations (PDE) and Control Theory. On one hand the number of possible applications is huge including optimal shape design in aeronautics. On the other hand, from a purely mathematical point of view it involves sophisticated models such as Navier-Stokes and Euler equations, hyperbolic systems of conservations laws, that constitute, certainly, one of the main challenges of the theory of PDE. Indeed, some of the main issues concerning existence, uniqueness and regularity of solutions are still open in this field. Moreover, Control Theory also faces some added difficulties when addressing these issues since the possible presence of singularities on solutions makes often classical approaches fail. In this lecture we present recent joint work in collaboration with Carlos Castro and Francisco Palacios in which we propose a new alternate direction method that allows not only dealing with shocks but also taking advantage of their presence to make the optimization processes to converge much faster.

Born in the Basque Country (Spain) in 1961, Enrique Zuazua got his Master Degree in the University of the Basque Country and then the PhD degree in the University Pierre et Marie Curie in Paris in 1988. His work has been mainly devoted to the analysis of Partial Differential Equations, Control Theory and Numerical Analysis. He has been the advisor of 17 PhD students, and is currently the Editor in Chief of the Journal ESAIM:COCV and Corresponding Editor of SIAM J. on Control and Optimization, and member of several Editorial Boards and Scientific Committees. Professor of Applied Mathematics at Universidad Autónoma de Madrid he is also the Director of the newly launched research institute IMDEA-Matemáticas, founded by the local Government of Madrid as well as Research Coordinator of the SIMUMAT project on Mathematical Modelling and Numerical Simulation in Science and Technology. In addition, he collaborates with AIRBUS and INTA within the DOMINO project on the Optimal Design in Aeronautics. He has delivered numerous talks in international conferences including the last ICM 2006 held in Madrid last August. His work has an important impact and he has been recognized as a Highly Cited Researcher by ISI-Thomson. He has recently been awarded with the 2006 Euskadi Science and Technology Prize.
Area(s):
Start Date:  2007-12-13
Start Time:   12:00
Speaker:  Enrique Zuazua (IMDEA-Matemáticas & Universidad Autónoma de Madrid, Spain)
Place:  Sala 2.4 - Departamento de Matemática
URL:  http://www.uam.es/personal_pdi/ciencias/ezuazua/informweb/bioEnrique_Eng.pdf
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