caption doctoral_advisor thesis_year birth_place thesis_title image_size nationality field work_institutions birth_date known_for doctoral_students prizes image article_title name alma_mater
pierre-louis lions haïm brezis 1979 grasse , alpes-maritimes , france sur et leur résolution numérique quelques classes d'équations aux dérivees partielles non linéaires 150px french mathematics collège de france École polytechnique university of paris-dauphine 11 august 1956 nonlinear partial differential equations mean field game theory benedicte perthame cédric villani alziary maria esteban olivier guéant gilles motet benoît fields medal -lrb- 1994 -rrb- file : pierre-louis lions par philippe binant.jpg pierre-louis lions
 pierre-louis lions École normale supérieure
pierre-louis lions

pierre-louis lions -lrb- born 11 august 1956 -rrb- is a french mathematician .
his parents were jacques-louis lions , a mathematician and at that time professor at the university of nancy , who became president of the international mathematical union , and andrée olivier , his wife .
he graduated from the École normale supérieure in 1977 -lrb- same year as jean-christophe yoccoz -rrb- .
refusing to take the `` agrégation '' in mathematics , he chose to carry out research in applied mathematics and received his doctorate from the university of pierre and marie curie in 1979 .
he studies the theory of nonlinear partial differential equations , and received the fields medal for his mathematical work in 1994 while working at the university of paris-dauphine .
lions was the first to give a complete solution to the boltzmann equation with proof .
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 -lrb- 2000 -rrb- .
he is a doctor honoris causa of heriot-watt university -lrb- edinburgh -rrb- , narvik university college -lrb- 2014 -rrb- , and of the city university of hong-kong and is listed as an isi highly cited researcher .
currently , he holds the position of professor of `` partial differential equations and their applications '' at the prestigious collège de france in paris as well as a position at École polytechnique .
in the paper `` viscosity solutions of hamilton-jacobi equations '' -lrb- 1983 -rrb- , written with michael g. crandall , he introduced the notion of viscosity solutions .
this has had an effect on the theory of partial differential equations .
