應yl7703永利官網(wǎng)王躍循教授和崔秀芳副教授邀請，西北工業(yè)大學yl7703永利官網(wǎng)姚磊教授將于2023年10月28日上午舉辦學術報告。

報告題目:Vanishing capillarity limit of a nonconservative compressible two-fluid model with common pressure

報告摘要：We investigate vanishing capillarity limit problem of a nonconservative compressible two-fluid model with common pressure in R^3. Due to partial dissipation property of the system and strong coupling effects between two fluids, up to now, the vanishing capillarity limit of the 3D compressible two-fluid model with common pressure has remained a challenging problem.In the present work, by exploiting the dissipation structure of the model and employing several key observations, we show that the unique smooth solution of the generic compressible two-fluid model exists for all time, and converges globally in time to the unique smooth solution of the compressible two-fluid Navier-Stokes equations, as the capillary coefficient tends to zero. Moreover, we also obtain the convergence rate estimates with respect to the capillary coefficient for any given positive time.

時 間：10月28日（星期六）10：00-11: 00

地點：理工樓518

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報告人簡介

姚磊，西北工業(yè)大學教授，2010年在華中師范大學獲理學博士學位。主要從事流體力學中的偏微分方程數(shù)學理論的研究，論文發(fā)表在Math. Ann.、JMPA、Ann. I. H. Poincaré-AN、SIAM JMA、Indiana Univ. Math. J.、M3AS等國際期刊上。

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2023年10月25日