3044am永利集团院举办第13期“数统大讲坛”
作者:何忠华 复审:丘志君 终审:刘炎 时间:2022-11-17 点击数:
11月11日,3044am永利集团院在线上会议平台举办第13期“数统大讲坛”,讲坛特邀湖南理工学院数学学院硕士研究生导师张再云教授作题为“Long time behavior of solutions to the damped forced generalized Ostrovsky equation below the energy space”的学术讲座,院长刘炎教授、副院长王芬教授、副院长陈员龙副教授及师生代表聆听了讲座,讲座由副院长何忠华副教授主持。
In this talk, first, by using Fourier restriction norm method and Tao’s [k, Z]-multiplier method, we establish the multi-linear estimates, including the bilinear and trilinear estimates on the Bourgain space. Then, combining the multi-linear estimates with the contraction mapping principle as well as the energy method, we establish the global well-posedness and existence of the bounded absorbing sets. Finally, we show the existence of global attractor and its compactness by means of the high-low frequency decomposition method, cut-off function, tail estimate together with Kuratowski -measure in order to overcome the non-compactness of the classical Sobolev embedding. This result improves earlier ones in the literatures.