應(yīng)yl7703永利官網(wǎng)崔秀芳副教授和王躍循教授邀請(qǐng)，華僑大學(xué)數(shù)學(xué)科學(xué)學(xué)院副教授吳國(guó)春將于2023年11月11日上午舉辦學(xué)術(shù)報(bào)告。

報(bào)告題目:Incompressible limit of three-dimensional isentropic compressible Navier-Stokes equations with discontinuous initial data

時(shí) 間：11月11日（星期六）10：30-11: 15

地 點(diǎn)：理工樓518

報(bào)告摘要：We consider the global weak solutions to the Cauchy problem of isentropic compressible Navier-Stokes equations in R3 with bounded initial density that are of small energy but possibly large oscillations with non-vacuum constant state as far field. These solutions converge globally in time to a global weak solution of the inhomogeneous incompressible Navier-Stokes equations as the bulk viscosity goes to infinity. This result generalizes Danchin-Mucha's works (Adv. Math. 320: 904-925, 2017 and Comm. Pure Appl. Math. 76: 3437-3492, 2023) on the incompressible limit for strong solutions to weak solutions that have discontinuous density along surfaces. Some new techniques based on the effective viscous flux are developed in order to obtain the uniform a priori estimates.

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報(bào)告人簡(jiǎn)介

吳國(guó)春，博士，現(xiàn)為華僑大學(xué)數(shù)學(xué)科學(xué)學(xué)院副教授。碩博連讀于廈門大學(xué)數(shù)學(xué)科學(xué)學(xué)院，曾在中國(guó)科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院做兩年博士后。主要從事流體力學(xué)中的偏微分方程數(shù)學(xué)理論的研究，已在Math. Ann.、SIAM J. Math. Anal.、J. Lond. Math. Soc.、J. Funct. Anal.、Nonlinearity和中國(guó)科學(xué)（英文版）等國(guó)內(nèi)外學(xué)術(shù)期刊發(fā)表論文40多篇，主持國(guó)家自然科學(xué)基金青年項(xiàng)目1項(xiàng)和參與國(guó)家自然科學(xué)基金面上項(xiàng)目2項(xiàng)。

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yl7703永利官網(wǎng)

萃英學(xué)院

2023年11月9日