报告题目：Relative entropy for compressible two-fluid model with algebraic closure

报告摘要：We consider a real two-fluid system of compressible viscous fluids with a common velocity field and algebraic closure for the pressure law. The constitutive relation involves densities of both fluids through an implicit function. The existence of global-in-time finite energy weak solutions to this system is known since the work of Novotny and Pokorny [Arch. Rational Mech. Anal., 2020]. On the other hand, existence of local-in-time strong solutions is due to Piasecki and Zatorska [J. Math Fluid Mech., 2022]. Using the relative entropy method, we establish the weak-strong uniqueness principle. I will also briefly introduce another recent result about the low Mach number limit problem, with the target system being the classical incompressible Navier-Stokes equations.

个人简介：李扬，安徽大学数学科学学院副教授。研究领域为流体力学中的偏微分方程。主持国家自然科学基金青年项目、面上项目与安徽省自然科学基金面上项目，在Int. Math. Res. Not., SIAM J.Numer.Anal., Calc. Var. PDE, SIAM J.Math.Anal., Bull Lond. Math Soc. IMA J.Numer.Anal., Nonlinearity, J.Differential.Equations.等期刊发表论文20余篇。

报告时间：2026年11月1日（周日）9：30--10：30

报告地点：中心校区知新楼B924

邀请人：陶涛 数学学院教授