中国科技论文在线

上传时间

2008年10月20日

【期刊论文】Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation

殷朝阳

，-0001，（）：

-1年11月30日

摘要

31浏览
0点赞
0收藏
0分享
50下载
0

引用

上传时间

2010年09月30日

【期刊论文】WELL-POSEDNESS AND BLOW-UP PHENOMENA FOR THE 2-COMPONENT CAMASSA-HOLM EQUATION

殷朝阳， Joachim Escher， Olaf Lechtenfeld， Zhaoyang Yin

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume 19, Number 3, November 2007，-0001，（）：

-1年11月30日

摘要

After some remarks on a possible zero-curvature formulation we first establish local well-posedness for the 2-component Camassa-Holm equation. Then precise blow-up scenarios for strong solutions to the system are derived. Finally we present two blow-up results for strong solutions to the system.

75浏览
0点赞
0收藏
0分享
85下载
0

引用

上传时间

2008年10月20日

【期刊论文】Shock waves and blow-up phenomena for the periodic Degasperis-Procesi equation

殷朝阳

，-0001，（）：

-1年11月30日

摘要

40浏览
0点赞
0收藏
0分享
44下载
0

引用

上传时间

2010年09月30日

【期刊论文】Shock Waves and Blow-up Phenomena for the Periodic Degasperis-Procesi Equation

殷朝阳， JOACHIM ESCHER， YUE LIU & ZHAOYANG YIN

Indiana University Mathematics Journal©, Article electronically published on January 30, 2007，-0001，（）：

-1年11月30日

摘要

In this paper we mainly study the problem of the development of singularities for solutions to the periodic Degasperis-Procesi equation. Firstly, we show that the first blow-up of strong solution to the equation must occur only in the form of wave breaking and shock waves possibly appear afterwards. Secondly, we established two new blow-up results. Thirdly, we investigate the blow-up rate for all non-global strong solutions and determine the blow-up set of blowing-up strong solutions to the equation for a large class of initial data. We finally give an explicit example of weak solutions to the equation, which may be considered as periodic shock waves.

the periodic Degasperis-Procesi equation， periodic peakons， periodic shock waves， blow-up rate， blow-up set

48浏览
0点赞
0收藏
0分享
133下载
0

引用

上传时间

2010年09月30日

【期刊论文】ON THE STRUCTURE OF SOLUTIONS TO THE PERIODIC HUNTER-SAXTON EQUATION*

殷朝阳， ZHAOYANG YIN†

SIAM J. MATH. ANAL. Vol.36, No.1, pp.272-283，-0001，（）：

-1年11月30日

摘要

We prove the local existence of strong solutions of the periodic Hunter-Saxton equation, and we show that all strong solutions except space-independent solutions blow up in finite time.

local existence of strong solutions,， Hunter-Saxton equation,， blow-up of strong solutions

58浏览
0点赞
0收藏
0分享
49下载
0

引用