报告名称：Vanishing capillarity limit of the 3D isentropic compressible          

                    Navier-Stokes-Korteweg equations in a slab domain

主讲人：张志朋 副教授

邀请人：郭闪闪 副教授

时间：2024年5月14日 10: 40

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报告摘要：

In this talk, we consider the global well-posedness of the isentropic compressible Navier-Stokes-Korteweg (NSK) equations in conormal Sobolev spaces in the domain T^2X[0,1], where the velocity satisfies slip boundary condition and the density is supplemented with Neumann boundary condition. Moreover, we establish the uniform estimates of the global strong solution with respect to the capillarity coefficient. Based on the uniform estimates, we prove that the strong solution of the isentropic compressible NSK equations converges globally in time to the strong solution of the isentropic compressible Navier-Stokes equations as the capillarity coefficient tends to zero.

 

专家简介：

张志朋，中国海洋大学副教授，博士毕业于南京大学，曾在北京应用物理与计算数学研究所从事博士后研究工作。已在Nonlinear Anal.、Nonlinearity、J. Math. P等国内外权威期刊发表论文10多篇。