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宝威体育(中国)集团有限公司题目: 杰出学者讲坛宝威体育(中国)集团有限公司(八十二):Random data theories for Partial Differential Equations
报 告 人: Nicolas Burq
宝威体育(中国)集团有限公司人所在单位: Université Paris-Saclay
宝威体育(中国)集团有限公司日期: 2024-03-28
宝威体育(中国)集团有限公司时间: 10:00
宝威体育(中国)集团有限公司地点: 光华东主楼2201
   
宝威体育(中国)集团有限公司摘要:

 Random data theories for PDEs were first developed by Bourgain in the 90 in the context of his seminal works on Gibbs measures for non linear Schrodinger\dinger equations. In Bourgains approach, randomness was an enemy because it forced to work at very rough regularity levels. It was only 15 years later that we realised with Tzvetkov that far from being an enemy, randomness could actually help in a PDE context and allow to exhibit examples where, while deterministically solutions to PDEs could exhibit bad behaviours, these pathological behaviours were (in some cases) actually quite rare as for suitable natural probability measures on the set of initial, they, almost surely, do not happen. I will present in this talk some basic ideas on this theory and some striking recent results (with their deterministic counterparts).

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本年度学院宝威体育(中国)集团有限公司总序号: 25

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