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报告题目：Yaglom's law and conserved quantity dissipation in turbulence

报告人：王艳青 副教授 （郑州轻工业大学）

摘要：In this talk, we are concerned with the local exact relationship for third-order structure functions in the temperature equation, the inviscid MHD equations and the Euler equations in the sense of Duchon-Robert type and Eyink type. It is shown that the local version of Yaglom’s 4/3 law is valid for the dissipation rates of conserved quantities such as the energy, cross-helicity and helicity in these systems. It seems that these results suggest that the Yaglom’s law of the hydrodynamic equations holds if an analogue of dissipation term as Duchon-Robert’s is obtained.  Base on this, the first Yaglom’s relation for the Oldroyd-B model and, inspired by the very recent work due to Boutros-Titi, new 4/3 laws for subgrid scale α-models of turbulence are also presented.

报告人简介：王艳青，郑州轻工业大学数学与信息科学学院副教授，硕士生导师。主要从事流体力学方程弱解正则性和能量守恒的数学研究，相关论文发表在Siam JMA、Nonlinearity、JDE、PJM、JMFM等杂志上。主持完成国家自然科学基金青年项目1项，目前主持在研国家自然科学基金面上项目1项和河南省优秀青年科学基金项目1项。

报告时间：2023年3月25日（周六）下午3:00-4:00

报告地点：校本部新教二楼827

联系人：酒全森