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Jacques-Louis Lions Laboratory (LJLL) - UMR 7598

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Jacques-Louis Lions laboratory - UMR 7598

The Laboratory was founded in 1969 by Jacques-Louis Lions. From the beginning, it has been a joint unit of University Pierre and Marie Curie  and the French National Center for Scientific Research (CNRS), and now of Denis Diderot University. The Jacques-Louis Lions Laboratory is the largest center in France and one of the largest in Europe for higher education and research in the field of applied mathematics. The laboratory focuses the fundamental analysis, on modeling and on High Performance Scientific Computing of phenomena represented by partial differential equations of differential equations. With a work force of approximately 100 faculty members, emeritus and permanent research staff and as many doctoral or postdoctoral fellows, the laboratory is in direct contact with the economical world and other domains of sciences based on a very wide disciplinary spectrum including fluid dynamics; physics; theoretical mechanics and chemistry; control, optimisation; games and finance; medicine and biology; signal analysis.  

In this page

Keywords

functional analysis, numerical analysis, bio mechanics, biomathematics, financial mathematics, fluid mechanics, mathematical modeling and numerical simulation, scientific computing, partial differential equations, numerical algorithms.

Teams and research themes

The Laboratory’s distinctive strong point, true to its founder’s vision, has always been its adaptability and capability to address novel multidisciplinary applications at the  highest level, building on a wide variety of mathematical and computing tools, ranging from the most theoretical concepts to the most numerical implementations: linear and nonlinear analysis, numerical analysis, algorithms, numerical simulation, visualization and virtual reality.

 

The Laboratory has a strong tradition of applications in fluid and solid mechanics, combustion, materials science and physics. Over the years, the range of applications has been progressively enhanced by taking into account the coupling of phenomena.

Simultaneously, new research directions unfolded in the biomedical sector, image and signal processing, quantum chemistry, and finance, either from a basic point of view or in direct connection with fields of application, leading to numerical simulations adapted to modern computer architectures. The recently developed integrated approach also leads to the design of new solutions for control, optimization and decision making.

Doctoral schools

ED 386: Mathematical Sciences of Central Paris

 

Building on its expertise, the Laboratory contributes to the training of around 100 French and foreign students each year coming from universities and major engineering schools, at the Master and Doctorate levels. This training in the fields of partial differential equations, algorithms, simulation and high performance computing leads to careers in research or industry. It is actively involved in two specializations of UPMC’s Master of Mathematics and Applications:

 

The research-oriented Master of Mathematical Modeling with its 4 programs: Numerical Analysis and Partial Differential Equations; Optimization and Game Theory, Modeling in Economics; Mathematics and Computing; Mathematics applied to the Biological and Medical Sciences.

 

The vocational Master of Mathematical Engineering.

 

Approximately twenty doctoral theses are defended every year under the supervision of JLL Laboratory scientists, either at the University or in industry. The Ph.D program is part of the Postgraduate School of Mathematical Sciences of Paris Centre.

 

Specific continuing education and flexible-schedule refresher courses are available upon request, to meet emerging needs in the industrial and professional sectors.

Scientific parternships
International

The Jacques-Louis Lions Laboratory researchers are recognized for the quality of their research and their ability to innovate, with over a hundred publications in international journals a year and numerous awards and distinctions (invitations to the International Congress of Mathematicians, honorary doctorates, etc.). A significant number of these researchers are elected members of renowned academies (Institut Universitaire de France, Académie des Sciences, etc.). They actively contribute to the most important national and international research programs, the organization of multiple conferences and seminars and they belong to many scientific journal editorial boards. The Laboratory boasts an extensive network of collaborations with well-known research centers in France and abroad. Its outstanding reputation makes it a favorite location for meetings and exchanges in the fields of mathematical analysis and numerical simulation for scientists, whether from prestigious research centers or developing countries.

Industrial parternships

The expertise of the Laboratory has long been shared with many R&D centers in industry. Due to its diverse skills in mathematics, the Laboratory is very actively involved in numerous partnerships including contracts that generate significant budgets with CEA, EDF, IFP, Dassault, Onera, PSA, Air Liquide, and Michelin.

Collaborations with experts from other disciplines, most recently with physicians, biologists, chemists, geologists and sociologists, continue to augment the diversity of available skills to meet new scientific and technological challenges.

Main publications

The Laboratory was founded in 1969 by Jacques-Louis Lions. From the beginning, it has been a joint unit of University Pierre and Marie Curie  and the French National Center for Scientific Research (CNRS), and now of Denis Diderot University. The Jacques-Louis Lions Laboratory is the largest center in France and one of the largest in Europe for higher education and research in the field of applied mathematics. The laboratory focuses the fundamental analysis, on modeling and on High Performance Scientific Computing of phenomena represented by partial differential equations of differential equations. With a work force of approximately 100 faculty members, emeritus and permanent research staff and as many doctoral or postdoctoral fellows, the laboratory is in direct contact with the economical world and other domains of sciences based on a very wide disciplinary spectrum including fluid dynamics; physics; theoretical mechanics and chemistry; control, optimisation, games and finance; medicine and biology; signal analysis.  

The list of laboratory members’ publications is available at: http://www.ljll.math.upmc.fr/fr/recherche/publications.htmlNouvelle fenêtre

Coordinates
Coordinates
Director
PERTHAME Benoît
01 44 27 85 18
benoit.perthame@ljll.math.upmc.fr
Physical address
4 place Jussieu, 75005 Paris
Secrétariat : 3e étage - 1516-3-07
Entrée par les tours 15 ou 16

Laboratory e-mail
Web site
http://www.ljll.math.upmc.fr/
Postal address
UPMC
Boite courrier 187, 75252 Paris cedex 05

Communication contact
TRELAT Emmanuel
01 44 27 62 24
emmanuel.trelat@upmc.fr
Administrative contact
LOUNICI Salima
01 44 27 42 98
salima@ann.jussieu.fr




12/02/14