Two dimensional solitary waves in shear flows
Two dimensional solitary waves in shear flows
复制标题
剪切流中的二维孤立波
DOI：
10.1007/s00526-018-1383-1
复制
发表时间：
2017
影响因子：
2.1
通讯作者：
A. Pastor
中科院分区：
文献类型：
--
作者：
A. Esfahani;A. Pastor
本文研究了二维剪切流中广义Shrira方程孤波解的存在性和渐近性态。证明这种特殊解存在的方法是基于山路定理。其中一个主要的困难在于显示紧凑嵌入的能量空间中的勒贝格空间，这是处理插值理论。孤立波的规律性和衰减特性也建立。
In this paper we study existence and asymptotic behavior of solitary-wave solutions for the generalized Shrira equation, a two-dimensional model appearing in shear flows. The method used to show the existence of such special solutions is based on the mountain pass theorem. One of the main difficulties consists in showing the compact embedding of the energy space in the Lebesgue spaces; this is dealt with interpolation theory. Regularity and decay properties of the solitary waves are also established.