應(yīng)yl7703永利官網(wǎng)邀請(qǐng)，Bergen大學(xué)的DidierPilod副教授將于2021年5月26日在線舉辦專題學(xué)術(shù)報(bào)告。

報(bào)告題目:Global well-posedness and scattering for theDysthe equation in L^2(R^2)

報(bào)告摘要：The Dysthe equation is a higher order approximation of the water waves system in the modulation (Schrodinger) regime and in the infinite depth case. After reviewing the derivation of the Dysthe and related equations, we will focus on the initial-value problem.

We prove a small data global well-posedness and scattering result in the critical space L^2(R^2). This result is sharp in view of the fact that the flow map cannot be C^3 continuous below L^2(R^2). Our analysis relies on linear and bilinear Strichartz estimates in the context of the Fourier restriction norm method. Moreover, since we are at a critical level, we need to work in the framework of the atomic space U_S^2 and its dual V_S^2 of square bounded variation functions. We also prove that the initial-value problem is locally well-posed in H^s(R^2), s > 0. Our results extend to the finite depth version of the Dysthe equation. This talk is based on a joint work with Razvan Mosincat (University of Bergen) and Jean-Claude Saut (Universite Paris-Saclay).

時(shí) 間：5月26日（星期三）16：00

地 點(diǎn)：理工樓518 （Zoom Meeting）

自行參與：ZoomMeeting ID: 657 4001 8157 Password: W9uzaNSU

Didier Pilod副教授簡(jiǎn)介

Didier Pilod，Bergen大學(xué)副教授, 博士畢業(yè)于巴西純粹與應(yīng)用數(shù)學(xué)研究所，導(dǎo)師為國際著名色散偏微分方程專家F.Linares，之后跟隨國際數(shù)學(xué)聯(lián)盟主席C.E.Kenig從事博士后研究工作。Didier Pilod的工作在色散偏微分方程領(lǐng)域有重要影響，他目前已在“Math. Ann.”、“Comm. Math. Phys.”、“Arch. Ration. Mech. Anal.”、“Anal. PDE”、“Trans. Amer. Math. Soc.”、“Ann. Inst. H. Poincare Anal. Non Lineaire”、“Comm. Partial Differential Equations”、“Rev. Mat. Iberoam.”、“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24日