Wellposedness and Large Time Behavior of Solutions to the N-D compressible Oldroyd-B Model

报告时间:2021-12-08 16:00

报告地点:腾讯会议 999 522 970

主讲人:李用声

主讲人中文简介:

华南理工大学数学学院教授,博士生导师。主要从事非线性发展程与无穷维动力系统的研究工作,涉及的方程有非线性色散方程和方程组(如Schrödinger方程及其方程组)、流体力学方程组等等,研究内容包括这些方程和方程组的解的存在性、唯一性、爆破性、衰减性、整体吸引子的存在性及其分形维数估计等。

活动内容摘要:

In this talk we discuss the wellposedness and large time behavior of strong solutions for the compressible Oldroyd-B model. Exploiting the harmonic analysis tools, we prove first that the problem is globally well-posed for small initial data in spaces with low regularity. Then, we obtain the optimal decay rates under some suitable condition involving only the low frequency of the initial data.

主持人:秦玉明