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Global Solutions to The Isentropic Compressible Navier-Stokes Equations with a Class Of Large Initial Data
澳门新葡8455最新网站:2017年06月12日 11:02 点击数:

报告人:方道元

报告地点:澳门新葡8455最新网站615室

报告澳门新葡8455最新网站:2017年06月20日星期二16:00-17:00

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报告摘要:

In this talk, we consider the global well-posedness problem of the isentropic compressible Navier-Stokes equations in the whole space RN with N _ 2. In order to better reflect the dispersive property of this system in the low frequency part, we introduce a new solution space that characterizes the behaviors of the solutions in different frequencies, and prove that the isentropic compressible Navier-Stokes equations admit global solutions when the initial data are close to a stable equilibrium in the sense of suitable hybrid Besov norm. As a consequence, the initial velocity with arbitrary ˙B norm of potential part P?u0 and large highly oscillating are allowed in our results. The proof relies heavily on the dispersive estimates for the system of acoustics, and a careful study of the nonlinear terms. This is the joint work with Ting Zhang and Ruozhao Zi.

 

主讲人概况:

方道元,浙江大学数学系教授、博士生导师、国际著名偏微分方程专家。

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