应304am永利集团官网王跃循教授和崔秀芳副教授邀请，西北工业大学304am永利集团官网姚磊教授将于2023年10月28日上午举办学术报告。

报告题目:Vanishing capillarity limit of a nonconservative compressible two-fluid model with common pressure

报告摘要：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.

时 间：10月28日（星期六）10：00-11: 00

地点：理工楼518

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报告人简介

姚磊，西北工业大学教授，2010年在华中师范大学获理学博士学位。主要从事流体力学中的偏微分方程数学理论的研究，论文发表在Math. Ann.、JMPA、Ann. I. H. Poincaré-AN、SIAM JMA、Indiana Univ. Math. J.、M3AS等国际期刊上。

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2023年10月25日