期刊文献+

EXISTENCE OF WEAK SOLUTIONS OF 2-D EULER EQUATIONS WITH INITIAL VORTICITY ω_0∈E(log~+L)~α(α>0)

EXISTENCE OF WEAK SOLUTIONS OF 2-D EULER EQUATIONS WITH INITIAL VORTICITY ω_0∈E(log ̄+L) ̄α (α>0)
原文传递
导出
摘要 It is proved that there exist global weak solutions of 2-D Euler equations in R2 under the assumption that the initial vorticity belongs to a kind of wider spaces, which are Orlicz spaces containing spaces and so on. This result improves on that of [2], [4], [11]. Moreover, these solutions are obtained by vanishing the viscosity term of Navier-Stokes equations. It is proved that there exist global weak solutions of 2-D Euler equations in R2 under the assumption that the initial vorticity belongs to a kind of wider spaces, which are Orlicz spaces containing spaces and so on. This result improves on that of [2], [4], [11]. Moreover, these solutions are obtained by vanishing the viscosity term of Navier-Stokes equations.
作者 酒全森
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1996年第2期121-129,共9页 应用数学学报(英文版)
关键词 EXISTENCE Euler equations weak solutions Existence,Euler equations,weak solutions
  • 相关文献

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部