應(yīng)yl7703永利官網(wǎng)王莉、徐強(qiáng)副教授邀請(qǐng)，馬克斯普朗克自然科學(xué)數(shù)學(xué)研究所吳昪博士將于2023年12月22日-26日訪問(wèn)蘭州大學(xué)，并于25日舉辦專題學(xué)術(shù)報(bào)告，歡迎諸位老師、研究生參加。

報(bào)告題目：Anomalous dissipation in passive scalar driven by typical Euler flows and Obukhov-Corrsin theory of scalar turbulence

時(shí)間：12月25號(hào) 上午10：00

地點(diǎn)：理工樓631

摘要：For the scalar advection-diffusion equation, according to physical predictions, the advecting velocity field, if turbulent, may enhance diffusion so strongly that a nontrivial dissipation of energy remains in the inviscid limit. This phenomenon (the strict energy inequality in the transport equation obtained as an inviscid limit) is referred to as‘a(chǎn)nomalous dissipation’. I will present a recent joint result with Burczak and Székelyhidi, proving that anomalous dissipation really occurs for scalars advected by a (typical) solution of Euler equation (with its regularity below the 1/3-H?lder continuity, the Onsager threshold). Consequently, we obtain non-uniqueness of the respective transport equations.

報(bào)告人簡(jiǎn)介

吳昪，馬克斯普朗克自然科學(xué)數(shù)學(xué)研究所博士后，合作導(dǎo)師Felix Otto和 LászlóSzékelyhidi 教授。本科畢業(yè)于清華大學(xué)，博士畢業(yè)于蘇黎世聯(lián)邦理工，師從Michael Struwe 教授。目前主要從事流體動(dòng)力學(xué)方程的研究。在ARMA, CVPDE等一流學(xué)術(shù)期刊上發(fā)表論文多篇。

甘肅省應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2023年12月21日