典型文献
Zero Viscosity-Diffusivity Limit for the Incompressible Boussinesq Equations in Gevrey Class
文献摘要：
In this paper,we study the zero viscosity-diffusivity limit for the incompressible Boussinesq equations in a periodic domain in the framework of Gevrey class.We first prove that there exists an interval of time,independent of the viscosity coefficient and the diffusivity coefficient,for the solutions to the viscous incompressible Boussinesq equations.Then,based on these uniform estimates,we show that the solutions of the viscous incompressible Boussinesq equations converge to that of the ideal incompressible Boussinesq equations as the viscosity and diffusivity coefficients go to zero.Moreover,the convergence rate is also given.
文献关键词：
中图分类号：
作者姓名：
Feng Cheng
作者机构：
Hubei Key Laboratory of Applied Mathematics,Faculty of Mathematics and Statistics,Hubei university,Wuhan 430062,P.R.China
文献出处：
引用格式：
[1]Feng Cheng-.Zero Viscosity-Diffusivity Limit for the Incompressible Boussinesq Equations in Gevrey Class)[J].数学研究通讯,2022(04):579-604
A类：
B类：
Zero,Viscosity,Diffusivity,Limit,Incompressible,Boussinesq,Equations,Gevrey,Class,this,paper,we,study,zero,viscosity,diffusivity,limit,incompressible,equations,periodic,domain,framework,class,We,first,prove,that,there,exists,interval,independent,solutions,viscous,Then,these,uniform,estimates,show,ideal,coefficients,go,Moreover,convergence,rate,also,given
AB值：
0.515876
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
