This short course explains how the usual mean-field evolution PDEs in Statistical Physics - such as the Vlasov-Poisson, Schrödinger-Poisson or time-dependent Hartree-Fock equations - are rigorously derived from first principles, i.e. from the fundamental microscopic models that govern the evolution of large, interacting particle systems.
@incollection{JEDP_2003____A9_0, author = {Golse, Fran\c{c}ois}, title = {The mean-field limit for the dynamics of large particle systems}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {9}, pages = {1--47}, publisher = {Universit\'e de Nantes}, year = {2003}, doi = {10.5802/jedp.623}, mrnumber = {2050595}, zbl = {02079444}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/jedp.623/} }
TY - JOUR AU - Golse, François TI - The mean-field limit for the dynamics of large particle systems JO - Journées équations aux dérivées partielles PY - 2003 SP - 1 EP - 47 PB - Université de Nantes UR - http://archive.numdam.org/articles/10.5802/jedp.623/ DO - 10.5802/jedp.623 LA - en ID - JEDP_2003____A9_0 ER -
Golse, François. The mean-field limit for the dynamics of large particle systems. Journées équations aux dérivées partielles (2003), article no. 9, 47 p. doi : 10.5802/jedp.623. http://archive.numdam.org/articles/10.5802/jedp.623/
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