應(yīng)yl7703永利官網(wǎng)邀請，挪威科技大學(xué)的Ehrnstrom教授將于2021年5月28日在線舉辦專題學(xué)術(shù)報(bào)告。

報(bào)告題目:Smooth stationary water waves with exponentially localised vorticity

報(bào)告摘要：We construct small-amplitude surface water waves travelling over a large but finite depth in a fluid with concentrated vorticity. The construction is based on a bifurcation-like argument, although one where the bifurcation is rather done from something that is not a water wave solution per se, but a radial and exponentially decaying ground state of a semi-linear elliptic problem in the whole plane.

The proof consists of several parts, where some precise reflection estimates at the surface and flat bed play a major role, as does the fact that everything is exponentially decaying away from the concentrated vorticity. Finally, the vertical replacement of the centre of vorticity with respect to the surface and flat bed is necessary to guarantee a travelling solitary wave whose motion is governed by the very concentrated, but everywhere present, vorticity.

This is joint work with C. Zeng (Georgia Tech) and S. Walsh (Missouri).

時(shí) 間：5月28日（星期五）16：00

地 點(diǎn)：理工樓518（Zoom Meeting）

自行參與：ZoomMeeting ID: 988 9383 5100   Password: 241315

Mats Ehrnstrom教授簡介

Mats Ehrnstrom，挪威科技大學(xué)教授, 挪威皇家科學(xué)與文學(xué)學(xué)會(huì)會(huì)士,主要從事色散偏微分方程和流體偏微分方程的研究，尤其是在弱色散方程的最高波，孤立波的存在性和正則性方面做了非常出色的工作。他目前已在“Duke Math. J.”、 “J. Eur. Math. Soc.”、“Arch. Ration. Mech. Anal.”、“Ann. Inst. H. Poincaré Anal. Non Linéaire”、“SIAM J. Math. Anal.”等國際重要學(xué)術(shù)期刊上發(fā)表論文多篇。

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級(jí)重點(diǎn)實(shí)驗(yàn)室

yl7703永利官網(wǎng)

萃英學(xué)院

2021年5月26日