学术报告会：Time-decay estimates of solutions to the incompressible Oldroyd-B model

报告题目：Time-decay estimates of solutions to the incompressible Oldroyd-B model

报告人：温焕尧(华南理工大学教授、博导)

时间：6月9日16：00-17：00

腾讯会议：会议ID：757 430 062密码：123456

个人简介：

温焕尧，男，华南理工大学数学学院教授、博士生导师、副院长。目前担任广东省青年科学家协会副会长和华南理工大学党外知识分子联席会副会长。主要从事流体力学中的偏微分方程的数学理论研究。研究成果发表在Adv. Math.、Arch. Rational Mech. Anal.、J. Functional Analysis、J. Math. Pures Appl.、 Math. Models Meth. Appl. Sci.、SIAM J. Math. Anal.等杂志。先后主持国家自然科学基金青年项目、面上项目和优秀青年科学基金项目。2016-2019年获聘广东省青年珠江学者。

Abstract: 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. In addition, some recent progress is also introduced.