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中心系列学术报告:Global solution to the incompressible Oldroyd-B model in the critical Lp framework: The case of non-small coupling parameter
发布时间:2019-10-28  

报告人:訾瑞昭博士

单位:华中师范大学

时间:2015.6.18(星期四)上午  10:30-11:30

地点:西北大学太白校区非线性科学研究中心学术报告厅

报告摘要:This talk is dedicated to the global well-posedness issue of the incompressible of equations admits a unique global solution in a certain critical L p-type Besov space provided that the initial data, but not necessarily the coupling parameter, is small enough. As a consequence, even through the coupling effect between the equations of velocity u and the symmetric tensor of constrains τ is not small, one may construct the unique global solution to the Oldroyd-Bmodel for a class of large highly oscillating initial velocity. The proof relies on the estimates of the linearized systems of (u, τ) and (u, Pdivτ) which may be of interest for future works. This result extends thework by Chemin and Masmoudi (SIAM J Math Anal 33:84–112, 2001) to the non-small coupling parameter case.

报告人简介:訾瑞昭,华中师范大学讲师;主要研究方向为偏微分方程;2013年在浙江大学获得博士学位,曾在德国Technische Universität Darmstadt 作博士后研究;已在 Arch. Rational Mech. Anal.Math. Ann.J.Func. Anal.SIAM J. Math. Anal. 等期刊上发表学术论文多篇。

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