应304am永利集团官网杨四辈教授和耿俊教授邀请，湖南师范大学赖柏顺教授将于2022年10月7日下午在线举办学术报告。

报告题目: Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space

报告摘要：In this paper we first prove explicit global pointwise estimates of the above solution, showing in particular that it has finite global energy and its derivatives blow up everywhere on the boundary away from the flux. We then use the above solution as a profile to construct solutions of the Navier-Stokes equations which also have finite global energy and unbounded normal derivatives due to the flux. Our main tool is the pointwise estimates of the Green tensor of the Stokes system proved by us in arXiv:2011.00134. We also examine the Stokes flows generated by dipole bumps boundary flux, and identify the regions where the normal derivatives of the solutions tend to positive or negative infinity near the boundary. This is a joint work with Kyungkeun Kang, Chen-Chih Lai and Tai-Peng Tsai.

时 间：10月7日（星期五）15：00

腾讯会议ID：203148822

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赖柏顺教授简介

赖柏顺，现为湖南师范大学“潇湘学者”特聘教授.主要从事三维不可压缩 Navier-Stokes 方程的数学理论，其主要成果发表在 Advances in Mathematics, Trans. Amer. Math. Soc., Siam J. Math. Anal 等期刊上，主持国际自然科学基金，湖南省杰出青年基金等项目。

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2022年10月6日