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【学术预告】西北工业大学姚磊教授学术报告

作者: 来源: 日期:2023年11月16日 16:56 人气:

Title: Vanishing capillarity limit of a generic compressible two-fluid model with common pressure

Abstract: We investigate vanishing capillarity limit problem of a generic compressible two-fluid model with common pressure (P+=P-) in R3. 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 σ tends to zero. Moreover, as a by-product, we also obtain the convergence rate estimates with respect to the capillary coefficient σ for any given positive time.

时间20231119日(周日)上午9:30-10:30

地点:理工北楼302


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.JMPAAnn. I. H. Poincaré -ANSIAM JMAIndiana Univ. Math. J.M3AS等国际期刊上。


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