On the weak solutions for the rotation-two-component Camassa-Holm equation

被引：1
作者：
Yang, Li [1 ]
Mu, Chunlai [1 ]
Zhou, Shouming [2 ]
Tu, Xinyu [3 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Chongqing Normal Univ, Coll Math Sci, Chongqing 401331, Peoples R China
[3] Southwest Univ, Coll Math Sci, Chongqing 400715, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 06期
关键词：
BLOW-UP PHENOMENA; WAVE-BREAKING PHENOMENA; WELL-POSEDNESS; GLOBAL EXISTENCE; PERSISTENCE PROPERTIES; UNIQUE CONTINUATION; SOLITARY WAVES; CAUCHY-PROBLEM; CRITERIA; TRAJECTORIES;
D O I：
10.1063/5.0008504
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper deals with a model the equatorial water waves with the Coriolis effect in the rotating fluid, which is called rotation-two-component Camassa-Holm system. The purpose of this work is to utilize the pseudo-parabolic regularization to establish the existence and uniqueness of weak solutions in a lower order Sobolev spaceHs(R)xHs-1(R)with1<s <= 32.
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页数：12
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共 51 条
  • [1] INITIAL-VALUE PROBLEM FOR KORTEWEG-DEVRIES EQUATION
    BONA, JL
    SMITH, R
    [J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1975, 278 (1287): : 555 - 601
  • [2] Breakdown for the Camassa-Holm Equation Using Decay Criteria and Persistence in Weighted Spaces
    Brandolese, Lorenzo
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (22) : 5161 - 5181
  • [3] Global dissipative solutions of the Camassa-Holm equation
    Bressan, Alberto
    Constantin, Adrian
    [J]. ANALYSIS AND APPLICATIONS, 2007, 5 (01) : 1 - 27
  • [4] Global conservative solutions of the Camassa-Holm equation
    Bressan, Alberto
    Constantin, Adrian
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2007, 183 (02) : 215 - 239
  • [5] AN INTEGRABLE SHALLOW-WATER EQUATION WITH PEAKED SOLITONS
    CAMASSA, R
    HOLM, DD
    [J]. PHYSICAL REVIEW LETTERS, 1993, 71 (11) : 1661 - 1664
  • [6] Camassa R., 1994, ADV APPL MECH, V31, P1, DOI [10.1016/S0065-2156(08)70254-0, DOI 10.1016/S0065-2156(08)70254-0]
  • [7] A two-component generalization of the Camassa-Holm equation and its solutions
    Chen, M
    Liu, SQ
    Zhang, YJ
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2006, 75 (01) : 1 - 15
  • [8] BREAKING WAVES AND SOLITARY WAVES TO THE ROTATION-TWO-COMPONENT CAMASSA HOLM SYSTEM
    Chen, Robin Ming
    Fan, Lili
    Gao, Hongjun
    Liu, Yue
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2017, 49 (05) : 3573 - 3602
  • [9] Wave Breaking and Global Existence for a Generalized Two-Component Camassa-Holm System
    Chen, Robin Ming
    Liu, Yue
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (06) : 1381 - 1416
  • [10] ON THE CAUCHY PROBLEM FOR THE TWO-COMPONENT DULLIN-GOTTWALD-HOLM SYSTEM
    Chen, Yong
    Gao, Hongjun
    Liu, Yue
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (08) : 3407 - 3441
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