时间：2023-05-06 09:00，2023-05-13 09:00，2023-05-16 09:00，2023-05-20 09:00（多日）

地点：ZOOM 

主讲人简介：

Roberto Triggiani，美国孟菲斯大学杰出教授，研究领域为无穷维系统的控制理论，主要包括偏微分方程在流体中的湍流抑制等应用。已发表论文220余篇，引用5000余次。

内容摘要：

The problem of uniform stabilization of fluids near an unstable equilibrium solution by means of ‘minimally invasive’ closed-loop feedback controllers has been the object of intense investigations over the past 20 years. One sought-after goal has been to establish that in the case of the 3D Navier-Stoke equations, such stabilization is indeed possible with localized, boundary-based feedback controllers which are also finite dimensional and explicit. This goal was achieved in the paper I.Lasiecka, B.Priyasad and R.Triggiani, Archive of Rational Mechanics and Analysis, 241, 1575-1654 (2021). It required abandoning the prior traditional Sobolev setting and introducing a suitable Besov space setting with tight indices. The successes on the Navier-Stokes equations have been exported more recently to the Bussinesq systems, which model viscous incompressible heat conducting fluids. The lectures will focus on recent developments to include interior localized, as well as boundary-based, localized, finite-dimensional feedback controllers.

主持人：秦玉明