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河南轻工业大学王艳青教授学术报告

发布人:    发布时间:2023-04-07    【打印此页】


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

报告人: 王艳青

工作单位:河南轻工业大学

报告时间:2023-4-7 8:00—10:00

会议地点:澳门人威尼斯官方网408

报告摘要: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,郑州轻工业大学澳门人威尼斯官方网教授,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。





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