主講人：楊彤 香港理工大學(xué)講席教授

時(shí)間：2022年11月21日10：15

地點(diǎn)：騰訊會(huì)議 893 1803 6029

舉辦單位：數(shù)理學(xué)院

主講人介紹：楊彤，香港理工大學(xué)講席教授，歐洲科學(xué)院院士，發(fā)展中國(guó)家科學(xué)院院士，香港科學(xué)院院士, 美國(guó)數(shù)學(xué)會(huì)會(huì)士。曾獲華人數(shù)學(xué)家大會(huì)晨星銀獎(jiǎng), 國(guó)家杰出青年基金海外與港澳青年學(xué)者合作基金, 裘槎基金會(huì)高級(jí)研究成就獎(jiǎng), 國(guó)家自然科學(xué)獎(jiǎng)二等獎(jiǎng), 香港研資局高級(jí)研究學(xué)者獎(jiǎng)。主要從事非線(xiàn)性偏微分方程的研究。在Journal of the American Mathematical Society，Communications on Pure and Applied Mathematics 等期刊上發(fā)表論文190多篇。是數(shù)學(xué)期刊?Analysis and Applications?的主編之一(2013-2017)及 ?Kinetic and Related Models?的創(chuàng)刊主編之一，目前擔(dān)任?Bulletin of the London Mathematical Society? ?Journal of the London Mathematical Society? ?SIAM Journal of Mathematical Analysis?等學(xué)術(shù)期刊的編委。

內(nèi)容介紹：In a region closer to the boundary compared to Prandtl layer, an inviscid disturbance can be manifested by the interaction with viscous mode via the no-slip boundary condition due to resonance. In some unstable range of parameters, this leads to instability in the transition regime from laminar flow to turbulence. This instability phenomenon was observed by physicists long time ago, such as Heisenberg, Tollmien and C.C. Lin, etc. And it was justified rigorously in mathematics by Grenier-Guo-Nguyen using the incompressible Navier-Stokes equation. In this talk, we will present some results on this phenomenon in other physical situations that the governing system is either MHD or compressible Navier-Stokes equation.The talk is based on some recent joint work with Chengjie Liu and Zhu Zhang.