On the hydrostatic approximation of the 3D Boussinesq equations of damped wave type

• 主讲人：Weixi Li (Wuhan University)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2024-05-16 20:00 - 2024-05-16 21:00
• 地点： online

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Recording: https://disk.pku.edu.cn/link/AA7E55187970EA4D21BDEBC05250CD3B75

Valid Until: 2054-05-16 08:17

 

Abstract: We study the hydrostatic approximation for the three-dimensional Boussinesq equations of damped wave type. This is a mixed degenerate system coupled by parabolic and hyperbolic equations. Compared with the purely hyperbolic hydrostatic Navier-Stokes equations, the parabolic equation for temperature will lead to an extra loss of derivatives. In the setting of Gevrey space with index 7/4, we prove the local well-posedness and the corresponding hydrostatic limit for the 3D Boussinesq equations of damped wave type.

 

Bio: Professor Weixi Li received his bachelor degree and PhD in 2003 and 2008, respectively, at Wuhan University. Li was appointed to Lecturer in 2008 and then promoted to Associate Professor in 2012 at Wuhan University, and since 2014 he is a full Professor at the same university. Li was postdoc fellows at universities of Paris VI, Lund, Nantes and Bologna from 2009 – 2012. His research interest lies in the microlocal analysis and its application in kinetic and fluid mechanics equations.