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A Remark on the Global Well-posedness of the 2D Generealized SQG
发布时间: 2017-04-19     13:15   【返回上一页】 发布人:酒全森


 北京师范大学数学科学学院

 

偏微分方程学术报告

 

 

报告题目:A Remark on the Global Well-posedness of the 2D Generealized SQG

 

报告人:酒全森 教授 (首都师范大学)

 

时间地点:421 15:00-16:00, 后主楼1223.

 

邀请人:李海刚

 

报告摘要:In this talk, we consider the 2D generalized SQG:

 /begin{eqnarray*}

 &&/omega_t+u/cdot/nabla/omega=0, x/in R^2, t>0,//[3mm]
&& u=K/ast/omega,

 /end{eqnarray*}

 with $K(x)=/frac{x^/perp}{|x|^{2+2/alpha}},0/le/alpha/le/frac12.$ When $/alpha=0$, it is the two-dimensional Euler equations.  When $/alpha=/frac 12$, it corresponds to SQG. We will prove that if the existence interval of the smooth solution to SQG is $[0,T]$, then when $/alpha</frac 12$ the existence interval of the generalized SQG will keep on $[0,T]$.