报 告 人：于海波（华侨大学）

时   间：2025年9月5日10:00

地   点：海韵园实验楼S102

内容摘要:

At high pressures, the viscosities of gases increase with increasing pressure. Based on this fact, we consider the Cauchy problem to the three-dimensional full compressible Navier-Stokes system with zero heat conductivity in the case that the viscosity coefficients are proportional to the pressure. Based upon some delicate a priori assumptions, the global strong solution is shown to exist at high pressures. In order to derive energy-dissipation of global solution, we construct a new equation for the gradient of pressure by combining the gradient of energy equation and the momentum equations. The optimal decay rates of the solution in $L^2$ are obtained. It is worth mentioning that the initial data can be arbitrarily large, and both the initial density and the initial pressure are allowed to have large oscillations.

个人简介：

于海波，华侨大学副教授，主要从事流体力学中的非线性偏微分方程理论研究，在Nonlinearity、Journal of Differential Equations、Journal of Evolution Equations等国内外期刊上发表20多篇论文，主持多项国家级和省部级科研项目。

联系人：张剑文