报告题目：Global hydrostatic approximation of hyperbolic Navier-Stokes system with small Gevrey class 2 data

报告简介：We investigate the hydrostatic approximation of a hyperbolic version of Navier-Stokes equations, which is obtained by using Cattaneo type law instead of Fourier law, evolving in a thin strip R×(0, ε). The formal limit of these equations is a hyperbolic Prandtl type equation. We first prove the global existence of solutions to these equations under a uniform smallness assumption on the data in Gevrey 2 class. Then we justify the limit globally-in-time from the anisotropic hyperbolic Navier-Stokes system to the hyperbolic Prandtl system with such Gevrey 2 class data. Compared with previous study for the hydrostatic approximation of 2-D classical Navier-Stokes system with analytic data, here the initial data belong to the Gevrey 2 class, which is very sophisticated even for the well-posedness of the classical Prandtl system, furthermore, the estimate of the pressure term in the hyperbolic Prandtl system arises additional difficulties.

报告人：张平，中国科学院院士，现任中国科学院数学与系统科学研究院副院长、研究员，主要研究领域是微局部分析和非线性偏微分方程。曾获国家杰出青年基金(2005)、入选新世纪百千万人才工程国家级人选(2006)、国务院政府特殊津贴(2007)、第十届中国青年科技奖(2007)、国家自然科学二等奖(2011)、国家科技部青年领军人才(2013)、教育部长江特聘教授(2014)、中国数学会陈省身奖(2019)等；在著名数学期刊，如Comm. Pure Appl. Math. Ann. Sci. éc. Norm. Supér., Comm. Math. Phys.等杂志发表学术论文110余篇。

报告时间：2022年4月28日(周四) 16:00-17:00

报告地点：腾讯会议，ID：830-590-733

主办单位：扬州大学数学科学学院、扬州大学科技处

欢迎广大师生参加！