{"id":1000,"date":"2018-10-16T10:58:52","date_gmt":"2018-10-16T10:58:52","guid":{"rendered":"http:\/\/lptms.u-psud.fr\/nicolas_pavloff\/?page_id=1000"},"modified":"2023-09-03T08:12:44","modified_gmt":"2023-09-03T08:12:44","slug":"advanced-nonlinear-physics","status":"publish","type":"page","link":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/enseignement\/advanced-nonlinear-physics\/","title":{"rendered":"Advanced Nonlinear Physics"},"content":{"rendered":"\n\n\n\n\n\n\n\n
\u00a0<\/caption>\n
lecture 1<\/strong>: generalities<\/td>\nrecorder lecture<\/a><\/td>\npdf version of the slides<\/a><\/td>\n<\/tr>\n
lecture 2<\/strong>: traffic flow and method of characteristics<\/td>\nrecorded lecture<\/a><\/td>\npdf version of the slides<\/a><\/td>\n<\/tr>\n
lecture 3<\/strong>: viscous shocks<\/td>\nrecorded lecture<\/a>
\nsolution exercice 1a, 1srt tutorial<\/a>
\nsolution exercice 1d, 1srt tutorial<\/a>
\nsolution exercice 2.3, 1srt tutorial<\/a><\/td>\n		pdf_version_of the slides<\/a><\/td>\n<\/tr>\n
lecture 4<\/strong>: advection-diffusion and KdV<\/td>\nrecorded lecture<\/a><\/td>\npdf version of the slides<\/a><\/td>\n<\/tr>\n
lecture 5<\/strong>: NLS<\/td>\nrecorded lecture<\/a><\/td>\nproperly drafted typed notes<\/a><\/td>\n<\/tr>\n
lecture 6<\/strong>: reaction-diffusion<\/td>\n<\/td>\ntyped_notes<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n\n\n\n
Handwritten notes\u00a0 for the course I
\n(Mainly nonlinear advection equation and the method of characteristics)<\/td>\n		pdf (15 pages)<\/a><\/td>\n<\/tr>\n
Handwritten notes on flood waves\u00a0 (not discussed during the course)
\nThese are meant to give a physical illustration of the use of the method of characteristics different from traffic flow theory.<\/td>\n		pdf (4 pages)<\/a><\/td>\n<\/tr>\n
\u00a0Illustration of the importance of the subject: cf the video showing\u00a0a flood submerging a bridge in less than 3mns (St Jean du Gard, 19\/09\/2020, courtesy of E. Pratlong)<\/td>\nsubmersion wave<\/a><\/td>\n<\/tr>\n
Handwritten notes for the course II
\n(Mainly advection-diffusion and Korteweg-de Vries equations)<\/td>\n		pdf (14 pages)<\/a><\/td>\n<\/tr>\n
When, as in KdV equation, dispersion dominates over viscosity, after wave breaking, a dispersive shock wave is formed, such as seen e.g., on Dordogne river<\/td>\nMascaret de St Pardon<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n\n
TUTORIAL #1<\/a><\/td>\nTUTORIAL #2<\/a><\/td>\n<\/tr>\n
solution_tuto1<\/a><\/td>\nsolution_tuto2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

previous exams<\/p>\n\n\n\n\n\n\n\n
2017-2018<\/td>\nexam<\/a><\/td>\nsolution<\/a><\/td>\n<\/tr>\n
2018-2019<\/td>\nexam<\/a><\/td>\nsolution<\/a><\/td>\n<\/tr>\n
2019-2020<\/td>\nexam<\/a><\/td>\nsolution<\/a><\/td>\n<\/tr>\n
2020-2021<\/td>\nexam<\/a><\/td>\nsolution<\/a><\/td>\n<\/tr>\n
2021-2022<\/td>\nexam<\/a><\/td>\nsolution<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

\u00a0 lecture 1: generalities recorder lecture pdf version of the slides lecture 2: traffic flow and method of characteristics recorded lecture pdf version of the slides lecture 3: viscous shocks recorded lecture solution exercice 1a, 1srt tutorial solution exercice 1d, … Continuer la lecture →<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"parent":13,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1000","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/pages\/1000","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/comments?post=1000"}],"version-history":[{"count":98,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/pages\/1000\/revisions"}],"predecessor-version":[{"id":1710,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/pages\/1000\/revisions\/1710"}],"up":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/pages\/13"}],"wp:attachment":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/nicolas_pavloff\/wp-json\/wp\/v2\/media?parent=1000"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}