主講人：李繼彬 華僑大學(xué)教授

時(shí)間：2022年12月2日10：00

地點(diǎn)：騰訊會(huì)議 538 474 037

舉辦單位：數(shù)理學(xué)院

主講人介紹：李繼彬教授是國(guó)家級(jí)有突出貢獻(xiàn)專(zhuān)家,在數(shù)學(xué)領(lǐng)域有著非常崇高的聲望和豐碩的研究成果。曾任四屆國(guó)家自然科學(xué)基金委數(shù)學(xué)學(xué)科評(píng)審專(zhuān)家組成員,云南省科學(xué)技術(shù)委員會(huì)常務(wù)委員,三屆云南省數(shù)學(xué)會(huì)理事長(zhǎng),云南省應(yīng)用數(shù)學(xué)研究所副所長(zhǎng),昆明理工大學(xué)理學(xué)院院長(zhǎng)等。他曾主持承擔(dān)國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目和面上項(xiàng)目等10余項(xiàng),發(fā)表論文220余篇,很多結(jié)果被國(guó)內(nèi)外文獻(xiàn)廣泛應(yīng)用。出版中英文專(zhuān)著8部,主編教材兩本、出版科普書(shū)兩部。三十余年培養(yǎng)碩士和博士研究生70余人?？蒲谐晒謩e獲云南省和浙江省科學(xué)技術(shù)一等獎(jiǎng)。

內(nèi)容介紹：Water waves in channels and oceans are usually described by the Euler equations. Due to their complexity, several approximate models have been derived in various wave regimes. Indeed, considering long waves propagating in shallow water but without assuming small amplitudes, Serre derived a fully nonlinear weakly dispersive system of equations which, with some approximations, include the Korteweg–de Vries, Saint-Venant and Boussinesq equations as special cases. In 2010，Dias and Milewski presented a generalization of the Serre equations, which are fully-nonlinear, weakly dispersive and bidirectional (orisotropic) equations under a built-in assumption of irrotationality. It is very interesting that the corresponding traveling systems of these water wave models are singular traveling wave systems. In this talk, we state how to use the dynamical system approach to study the peakon, periodic peakon and compacton families for these water wave models.