In this talk, we will discuss the interaction between the stability, and the propagation of regularity, for solutions to the incompressible 3D Euler equation. It is still unknown whether a solution with smooth initial data can develop a singularity in finite time. We will describe how, in such a scenario, the solution becomes unstable as time approaches the blow-up time. It explains why it is so difficult to obtain numerical evidence of such blow-up. The method uses the relation between the vorticity of the solution, and the bi-characteristic amplitude solutions, which describe the evolution of the linearized Euler equation at high frequency. In the axisymmetric case, we can also study the instability of blow-up profiles.<\/p>\n\n\n\n
This work was partially supported by the NSFDMS-1907981. This is a joint work with Misha Vishik and Laurent Lafleche.<\/p>\n\n\n\n
Please find below the zoom link and the Abstract of the talk. Do not hesitate to let me know if there are any difficulties. Meeting Number (access code): 898 1269 9925<\/strong><\/p>\n\n\n\n Meeting Password: 492381<\/strong><\/p>\n\n\n\n More about Alexis Vasseur’s scientific achievements: https:\/\/web.ma.utexas.edu\/users\/vasseur\/<\/a>.<\/p>","protected":false},"excerpt":{"rendered":" In this talk, we will discuss the interaction between the stability, and the propagation of regularity, for solutions to the incompressible 3D Euler equation. It is still unknown whether a solution with smooth initial data can develop a singularity in finite time. We will describe how, in such a scenario, the solution becomes unstable as<\/p>","protected":false},"author":13,"featured_media":5793,"parent":0,"template":"","meta":{"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":""},"tags":[],"event_types":[26],"event_times":[],"acf":[],"featured_img":"https:\/\/aims-cameroon.org\/wp-content\/uploads\/sites\/6\/2021\/10\/COLLOQUE.jpg","coauthors":[],"author_meta":{"author_link":"https:\/\/aims-cameroon.org\/fr\/author\/george\/","display_name":"george"},"relative_dates":{"created":"Publi\u00e9 5 ans il y a","modified":"Mis \u00e0 jour 5 ans il y a"},"absolute_dates":{"created":"Publi\u00e9 le octobre 2, 2021","modified":"Mise \u00e0 jour le octobre 2, 2021"},"absolute_dates_time":{"created":"Publi\u00e9 le octobre 2, 2021 2:31 ","modified":"Mise \u00e0 jour le octobre 2, 2021 3:41 "},"featured_img_caption":"","tax_additional":{"post_tag":{"linked":[],"unlinked":[],"slug":"post_tag","name":"\u00c9tiquettes"},"event_types":{"linked":["Workshop<\/a>"],"unlinked":["Workshop<\/span>"],"slug":"event_types","name":"Event Type"},"event_times":{"linked":[],"unlinked":[],"slug":"event_times","name":"Event Time"}},"series_order":"","_links":{"self":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5792"}],"collection":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event"}],"about":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/types\/event"}],"author":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/users\/13"}],"version-history":[{"count":4,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5792\/revisions"}],"predecessor-version":[{"id":5798,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5792\/revisions\/5798"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media\/5793"}],"wp:attachment":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media?parent=5792"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/tags?post=5792"},{"taxonomy":"event_types","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_types?post=5792"},{"taxonomy":"event_times","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_times?post=5792"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
https:\/\/us06web.zoom.us\/j\/89812699925?pwd=MkxBcGVwTmdHdUZEMWtTWFI0Vllrdz09<\/a><\/p>\n\n\n\n