报告人：温焕尧教授（华南理工大学）
时 间：2019年9月17日下午 16:00-17:00
地点：华南数学应用与交叉研究中心学术报告厅111
题目：Decay estimates of solutions to the incompressible Oldroyd-B model in R^3
摘要：
We consider the Cauchy problem for the incompressible Oldroyd-B model in R^3. For the case a=0, global existence results for weak solutions were derived by Lions and Masmoudi, allowing the initial data to be arbitrarily large, whereas it is not known whether this assertion is true also for a which is not zero. We obtain time decay estimates for weak solutions subject to arbitrary large data are given for the case a=0. Furthermore, time-decay estimates are also given for strong solutions for a which is not zero, however, for small initial data.
The decay estimates obtained are of the form that the k^{th} order derivatives in L^2 decay as (1+t)^{-\fr{3}{4}-\frac{k}{2}} for k=0,1,2 as t goes to infinity.
Note that the coupling constant w does not need to be small. This talk is based on the joint work with Matthias Hieber, and Ruizhao Zi.