Wave-breaking phenomenon for a generalized spatially periodic Camassa-Holm system

被引：0

作者：

Yu, Shengqi ^{[2
,1
]}

机构：

[1] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 07期

关键词：

two-component -CH system; blow up;

D O I：

10.1002/mma.3155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Considered herein is a generalized two-component Camassa-Holm system in spatially periodic setting. We first prove two conservation laws; then under proper assumptions on the initial data, we show the precise blow-up scenarios and sufficient conditions guaranteeing the formation of singularities to the solutions of the generalized Camassa-Holm system. Copyright (c) 2014 John Wiley & Sons, Ltd.

引用

页码：1405 / 1417

页数：13

共 22 条

[11] Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms [J].

Khesin, Boris ;

Lenells, Jonatan ;

Misiolek, Gerard .

MATHEMATISCHE ANNALEN, 2008, 342 (03) :617-656

[12]

Lius JJ, 2012, NONLINEAR ANAL-THEOR, V75, P131

[13]

Lius JJ, 2013, J MATH ANAL APPL, V399, P650

[14] Global periodic conservative solutions of a periodic modified two-component Camassa-Holm equation [J].

Tan, Wenke ;

Yin, Zhaoyang .

JOURNAL OF FUNCTIONAL ANALYSIS, 2011, 261 (05) :1204-1226

[15]

Toland JF., 1996, Topol. Methods Nonlinear Anal, V7, P1, DOI DOI 10.12775/TMNA.1996.001

[16]

Wangs MX, 2012, J MATH PHYS, V52, P1

[17]

Whithams G. B., 1999, LINEAR NONLINEAR WAV

[18] Global Existence for the Generalized Two-Component Hunter-Saxton System [J].

Wu, Hao ;

Wunsch, Marcus .

JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2012, 14 (03) :455-469

[19] THE GENERALIZED HUNTER-SAXTON SYSTEM [J].

Wunsch, Marcus .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (03) :1286-1304

[20]

Yus SQ, 2012, APPL ANAL, V91, P1321

← 1 2 3 →