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Nonlinear instability in Compressible fluids under gravity
发布时间: 2017-06-30     16:08   【返回上一页】 发布人:Ronghua Pan


 北京师范大学数学科学学院

  

偏微分方程系列报告

 

 

 

报告题目:Nonlinear instability in Compressible fluids under gravity

 

 

报告人: Ronghua Pan

 

 

(Georgia Institute of Technology)

 

 

时间地点:201772日下午4:00-5:00, 后主楼1124

 

邀请人:许孝精 教授   

 

报告摘要:

It is known in physics that steady state of compressible fluids under the influence of uniform gravity is stable if and only if the convection is absent. For non-isentropic flow, this stability criterion turns into the monotonicity of entropy in the direction of gravity. In this research, we will show that the instability side with mathematical rigor. This is based on a joint work with Xulong Qin, and Zhen-an Yao.