# Pierre-Louis

# Lions

###### EXTERNAL SCIENTIFIC COMMITTEE

Pierre-Louis Lions is professor at the Collège de France; Chair in Partial Differential Equations and Applications. He was awarded the Fields Medal in 1994 for his work on Partial Differential Equations. Other awards Lions received include the IBM Prize in 1987 and the Philip Morris Prize in 1991. He was an invited professor at the Conservatoire National des Arts et Métiers (2000). He is a doctor honoris causa of Heriot-Watt University (Edinburgh), Narvik University College (2014), and of the City University of Hong-Kong, and is listed as an ISI highly cited researcher. He is and has been a member of editorial committees of many prestigious journals.

Research activities focus on Partial Differential Equations and their applications. Themes currently being developed include MFG type models, stochastic process, ergodicity, and the modeling of “Big Data” problems.

Lions earned a doctorate from the University of Paris VI in 1979. He was a professor at the University of Paris IX from 1981 to 2003, and in 1992 he joined the faculty at the École Polytechnique (Palaiseau). In 2002 he began teaching at the Collège de France. In 1983, in a joint work with Michael G. Crandall, he introduced “viscosity solutions” for Hamilton-Jacobi equations, equations that had been the subject of his doctoral dissertation, where he found solutions using techniques from partial differential equations and probability. Later, with R.J. DiPerna, Lions rigorously demonstrated the existence of solutions to Boltzmann’s equation for the density of colliding hard spheres, given general initial data. Lions made a number of other contributions in the general area of nonlinear partial differential equations and in a variety of areas of applied mathematics, such as stochastic control theory, numerical algorithms for partial differential equations, and image processing.