题 目：Global small solutions to a variant of the 2D

Boussinesq-Benard System with velocity damping

报告人：许孝精 教授 (北京师范大学)

Abstract:In this talk, I shall introduce the stability and large-time behavior problem on perturbations near the trivial solution to a variant of the 2D Boussinesq-Benard system. This system does not involve thermal diffusion.These stability problems are extremely difficult, partially due to the lack of thermal diffusion. The energy method and classical approaches can no longer provide information on the large-time behavior of these partially dissipated systems. We will presents a new approach that take into account of the special structure of the linearized system. The linearized parts of the vorticity equaiton and the temperature equation here both obey a degenerate damped wave type equation. By representing the nonlinear system in an integral form and carefully crafting the functional setting for the initial data and solution spaces, we are able to establish the long-term stability and global (intime) existence and uniqueness of smooth solutions of the nonlinear systems focused here. Simultaneously, we also obtain exact decay rates for various derivatives of the perturbations.

时间： 1月9日(周三)15:00-16:00

地点：565net必赢客户端本部教二楼 913 教室

联系人：酒全森

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