偏微分方程讨论班

演讲者：秦玉明教授（东华大学数学系主任）

题目：Exponential Stability for the Compressible
Navier--Stokes Equations with the Cylinder Symmetry in $R^3$

摘要:
This talk is concerned with the exponential stability in $H^1$ and $H^2$ of global weak solutions to the compressible Navier--Stokes equations with the cylinder symmetry in $R^3$ when the initial total energy is sufficiently small. Such a circular coaxial cylinder symmetric domain in $R^3$ is unbounded domain, but under our assumptions on the solutions depending only on one radial spatial variable $rin G={rin R^+, ＜a＜r＜b＜ +infty }$, the related domain $G$ to equations is a bounded domain. Matsumura and Nishida 's result in $R^3$ require the smallness of initial data, while our result need not the smallness of density.

地点：理科大楼A1510教室
时间：2006年11月30日（星期四）下午3：30-4：30

欢迎教师、研究生踊跃参加！