Blow-up and infinite propagation speed for a two-component b-family system

被引：0
|
作者：
Wei Feng
Zhongping Li
机构：
[1] College of Mathematics and Information Science,
[2] Neijiang Normal University,undefined
[3] College of Mathematics and Information,undefined
[4] China West Normal University,undefined
来源：
Boundary Value Problems | / 2014卷 / 1期
关键词：
a two-component b-family system; blow-up; infinite propagation speed;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the Cauchy problem of a two-component b-family system which arises in shallow water theory. We first derive the precise blow-up scenario and present a blow-up result. Then we investigate the infinite propagation speed in the sense that the corresponding solution with compact supported initial datum does not have compact spatial support any longer in its lifespan.
引用
收藏
相关论文
共 50 条
  • [41] Blow-up criteria of solutions to a modified two-component Camassa-Holm system
    Guo, Zhengguang
    Zhu, Mingxuan
    Ni, Lidiao
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 3531 - 3540
  • [42] Blow-up of solutions to a modified two-component Dullin-Gottwald-Holm system
    Cheng, Wenguang
    Xu, Tianzhou
    [J]. APPLIED MATHEMATICS LETTERS, 2020, 105
  • [43] Blow-up issues for a two-component system modelling water waves with constant vorticity
    Wang, Ying
    Zhu, Min
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 172 : 163 - 179
  • [44] Blow-up for a weakly dissipative modified two-component Camassa-Holm system
    Du, Wanjuan
    Li, Zhongping
    [J]. APPLICABLE ANALYSIS, 2014, 93 (03) : 606 - 623
  • [45] On Blow-Up of Solutions to a Weakly Dissipative Two-Component Camassa-Holm System
    Han, Xuanxuan
    Wang, Tingting
    Lu, Yibin
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2022, 29 (03) : 588 - 600
  • [46] Infinite propagation speed and asymptotic behavior for a two-component Degasperis–Procesi system
    Kai Yan
    Zhaoyang Yin
    [J]. Monatshefte für Mathematik, 2016, 181 : 217 - 234
  • [47] INVARIANT SUBSPACES AND GENERALIZED FUNCTIONAL SEPARABLE SOLUTIONS TO THE TWO-COMPONENT b-FAMILY SYSTEM
    闫璐
    时振华
    王昊
    康静
    [J]. Acta Mathematica Scientia, 2016, 36 (03) : 753 - 764
  • [48] Nonuniform dependence of solution to the high-order two-component b-family system
    Li Yang
    Chunlai Mu
    Shouming Zhou
    [J]. Journal of Evolution Equations, 2022, 22
  • [49] Nonuniform dependence of solution to the high-order two-component b-family system
    Yang, Li
    Mu, Chunlai
    Zhou, Shouming
    [J]. JOURNAL OF EVOLUTION EQUATIONS, 2022, 22 (01)
  • [50] INVARIANT SUBSPACES AND GENERALIZED FUNCTIONAL SEPARABLE SOLUTIONS TO THE TWO-COMPONENT b-FAMILY SYSTEM
    闫璐
    时振华
    王昊
    康静
    [J]. Acta Mathematica Scientia(English Series)., 2016, 36 (03) - 764
12345