...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Differential and integral equations >REGULARITY OF STAGNATION-POINT FORM SOLUTIONS OF THE TWO-DIMENSIONAL EULER EQUATIONS
【24h】

REGULARITY OF STAGNATION-POINT FORM SOLUTIONS OF THE TWO-DIMENSIONAL EULER EQUATIONS

机译：二维Euler方程的稳定点形式解的规律性。

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A class of semi-bounded solutions of the two-dimensional incompressible Euler equations, satisfying either periodic or Dirichlet boundary conditions, is examined. For smooth initial data, new blowup criteria in terms of the initial concavity profile is presented and the effects that the boundary conditions have on the global regularity of solutions is discussed. In particular, by deriving a formula for a general solution along Lagrangian trajectories, we describe how periodicity can prevent blow-up. This is in opposition to Dirichlet boundary conditions which, as we will show, allow for the formation of singularities in finite time. Lastly, regularity of solutions arising from non-smooth initial data is briefly discussed.
机译：检验了满足周期或Dirichlet边界条件的二维不可压缩Euler方程的一类半界解。对于平滑的初始数据，提出了关于初始凹面轮廓的新的爆破准则，并讨论了边界条件对解的整体规律性的影响。特别地，通过推导沿拉格朗日轨迹的一般解的公式，我们描述了周期性如何防止爆炸。正如我们将展示的，这与Dirichlet边界条件相反，后者允许在有限时间内形成奇点。最后，简要讨论了由非平滑初始数据产生的解的规律性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号