oalib
Search Results: 1 - 10 of 100 matches for " "
All listed articles are free for downloading (OA Articles)
Page 1 /100
Display every page Item
Wave-breaking phenomena and global solutions for periodic two-component Dullin-Gottwald-Holm systems  [cached]
Min Zhu,Junxiang Xu
Electronic Journal of Differential Equations , 2013,
Abstract: In this article we study the initial-value problem for the periodic two-component b-family system, including a special case, when b = 2, which is referred to as the two-component Dullin-Gottwald-Holm (DGH) system. We first show that the two-component b-family system can be derived from the theory of shallow-water waves moving over a linear shear flow. Then we establish several results of blow-up solutions corresponding to only wave breaking with certain initial profiles for the periodic two-component DGH system. Moreover, we determine the exact blow-up rate and lower bound of the lifespan for the system. Finally, we give a sufficient condition for the existence of the strong global solution to the periodic two-component DGH system.
The local criteria for blowup of the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system  [PDF]
Duc-Trung Hoang
Mathematics , 2014,
Abstract: We investigate wave breaking for the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system. We establish a new blow-up criterion for the general case $\gamma+c_0\alpha^2 \geq 0$ involving local-in-space conditions on the initial data.
dullin-gottwald-holm方程的1-孤子解  [PDF]
居琳,田立新
江苏科技大学学报(自然科学版) , 2006,
Abstract: ?研究了一类由dullin,gottwald和holm提出的新的含线性和非线性色散项的完全可积型浅水波方程(称为dullin-gottwald-holm方程)的反散射问题。首先利用反散射方法建立了dgh方程的反散射方程以及一系列求解方程,并且给出了解的一般形式,然后利用散射数据以参数形式给出了dgh方程的1-孤子解,最后画出了几个取特殊值时解的侧面图。
dullin-gottwald-holm方程的散射逼近  [PDF]
居琳,田立新
江苏科技大学学报(自然科学版) , 2010,
Abstract: ?研究了一类新型非线性浅水波方程(dullin-gottwald-holm方程,简称为dgh方程)的散射逼近问题,文章首先通过对与离散谱相对应的特征函数的归一化变形,给出了dgh方程的散射数据;其次利用dgh方程的lax对和liouville变换求出了初始位势函数,最终论证了dgh方程的可积性.
The blow-up phenomena and exponential decay of solutions for a three-component Camassa-Holm equations  [PDF]
Xinglong Wu
Mathematics , 2014,
Abstract: The present paper is mainly concerned with the blow-up phenomena and exponential decay of solution for a three-component Camassa-Holm equation. Comparing with the result of Hu, ect. in the paper[1], a new wave-breaking solution is obtained. The results of exponential decay of solution in our paper cover and extent the corresponding results in [12, 19, 22].
Blow-up phenomena and local well-posedness for a generalized Camassa-Holm equation  [PDF]
Xi Tu,Zhaoyang Yin
Mathematics , 2015,
Abstract: In this paper we mainly study the Cauchy problem for a generalized Camassa-Holm equation. First, by using the Littlewood-Paley decomposition and transport equations theory, we establish the local well-posedness for the Cauchy problem of the equation in Besov spaces. Then we give a simply blow-up criterion for the Cauchy problem of the equation. we present a blow-up result and the exact blow-up rate of strong solutions to the equation by making use of the conservation law and the obtained blow-up criterion.Finally, we verify that the system possesses peakon solutions.
Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions  [PDF]
Kai Yan,Zhijun Qiao,Yufeng Zhang
Mathematics , 2015,
Abstract: This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity, which includes the cubic Camassa-Holm equation (also called the Fokas-Olver-Rosenau-Qiao equation) as a special case. The one peaked solitons (peakons) and two peakon solutions are described in an explicit formula. Then, the local well-posedness for the Cauchy problem of the system is studied. Moreover, we target at the precise blow-up scenario for strong solutions to the system, and establish a new blow-up result with respect to the initial data.
Global existence and blow-up phenomena for a periodic 2-component Camassa-Holm equation with vorticity  [PDF]
Qiaoyi Hu,Zhaoyang Yin
Mathematics , 2011,
Abstract: We first establish local well-posedness for a periodic 2-component Camassa-Holm equation with vorticity. We then present a global existence result for strong solutions to the equation. We finally obtain several blow-up results and the blow-up rate of strong solutions to the equation.
具零阶耗散的双成分Camassa-Holm方程的整体解和爆破现象
GLOBAL EXISTENCE AND BLOW-UP PHENOMENA FOR THE TWO-COMPONENT CAMASSA-HOLM EQUATION WITH ZERO ORDER DISSIPATION
 [PDF]

作者,朱师师,臧林恩
- , 2017,
Abstract: 本文研究了具零阶耗散的双成分Camassa-Holm方程的Cauchy问题.由Kato定理得到局部适定性的结果,然后研究了解的整体存在性和爆破现象.
In this paper, we study the two-component Camassa-Holm equation with the zero order dissipation. By using the Kato's theorem, the local well-posedness is obtain. Then we study the global existence and blow-up phenomena of the solutions for the Cauchy problem
Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system  [PDF]
Zeng Zhang,Zhaoyang Yin
Physics , 2014,
Abstract: This paper is concerned with a multi-component Camassa-Holm system, which has been proven to be integrable and has peakon solutions. This system includes many one-component and two-component Camassa-Holm type systems as special cases. In this paper, we first establish the local well-posedness and a continuation criterion for the system, then we present several global existence or blow-up results for two important integrable two-component subsystems. Our obtained results cover and improve recent results in \cite{Gui,yan}.
Page 1 /100
Display every page Item


Home
Copyright © 2008-2017 Open Access Library. All rights reserved.