Two dimensional solitary waves in shear flows

被引：9

作者：

Esfahani, Amin ^{[1
]}

Pastor, Ademir ^{[2
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan 36715364, Iran

[2] Univ Estadual Campinas, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 57卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

ZAKHAROV-KUZNETSOV EQUATION; KADOMTSEV-PETVIASHVILI EQUATIONS; SOBOLEV SPACES; BENJAMIN; DECAY; ANALYTICITY; REGULARITY; STABILITY; LAYER; IVP;

D O I：

10.1007/s00526-018-1383-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：33

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