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

发布时间：2023-10-19 作者：浏览次数：

Speaker:	赖柏顺	DateTime:	2023年10月21日（周六）上午9:00-9:45
Brief Introduction to Speaker: 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。		Place:	6号楼2号报告厅
Abstract:In this paper we first prove explicit global pointwise estimates of the solution to the N-S system in half space, and show 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. This is a joint work with Kyungkeun Kang, Chen-Chih Lai and Tai-Peng Tsai.