Blow-up solutions of the general b-equation

被引：4

作者：

Lv, Guangying ^{[1
]}

Wang, Mingxin ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210018, Peoples R China

[2] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150080, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 12期

关键词：

GLOBAL CONSERVATIVE SOLUTIONS; CAMASSA-HOLM; INTEGRABLE EQUATION; WELL-POSEDNESS; WEAK SOLUTIONS; BREAKING WAVES; EXISTENCE; FAMILY;

D O I：

10.1063/1.3525585

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this short paper, we consider the b-equation. A new precise blow-up scenario is described and some new results are obtained for the blow-up phenomena. (C) 2010 American Institute of Physics. [doi:10.1063/1.3525585]

引用

页数：10

共 50 条

[41] Blow-up of solutions of a semilinear hyperbolic equation and a parabolic equation with general forcing term and boundary condition
Zhu, Jianmin
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (01) : 33 - 38
[42] Blow-up rate, mass concentration and asymptotic profile of blow-up solutions for the nonlinear inhomogeneous Schrodinger equation
Zhu, Shihui
Yang, Han
Zhang, Jian
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 242 : 889 - 897
[43] BLOW-UP IN THE BOUSSINESQ EQUATION
TURITSYN, SK
[J]. PHYSICAL REVIEW E, 1993, 47 (02): : R796 - R799
[44] Blow-up in the Boussinesq equation
Turitsyn, Sergei K.
[J]. Physical Review Letters, 1993, 70 (09)
[45] BLOW-UP FOR THE HEAT EQUATION WITH A GENERAL MEMORY BOUNDARY CONDITION
Deng, Keng
Dong, Zhihua
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (05) : 2147 - 2156
[46] ON BLOW-UP FOR THE HARTREE EQUATION
Zheng, Jiqiang
[J]. COLLOQUIUM MATHEMATICUM, 2012, 126 (01) : 111 - 124
[47] BLOW-UP OF SOLUTIONS TO A PERIODIC NONLINEAR DISPERSIVE ROD EQUATION
Jin, Liangbing
Liu, Yongming
Zhou, Yong
[J]. DOCUMENTA MATHEMATICA, 2010, 15 : 267 - 283
[48] Global Existence and Blow-up of Solutions for A Porous Medium Equation
Gao, Yunzhu
Meng, Xi
Gai, Hong
[J]. ADVANCED BUILDING MATERIALS AND STRUCTURAL ENGINEERING, 2012, 461 : 532 - 536
[49] Blow-Up of Solutions of a Nonlinear Nonlocal Equation of Sobolev Type
Chubenko, P. A.
[J]. DIFFERENTIAL EQUATIONS, 2009, 45 (02) : 217 - 225
[50] BLOW-UP OF SOLUTIONS OF CAUCHY PROBLEM FOR NONLINEAR SCHRODINGER EQUATION
Sakbaev, V. Zh.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2013, (01): : 159 - 171

← 1 2 3 4 5 →