BLOW-UP FOR THE TWO-COMPONENT CAMASSA HOLM SYSTEM

被引：20
|
作者：
Grunert, Katrin [1 ]
机构：
[1] Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 05期
基金：
奥地利科学基金会;
关键词：
Two-component Camassa Holm system; blow up; regularization; GLOBAL CONSERVATIVE SOLUTIONS; DISSIPATIVE SOLUTIONS; WELL-POSEDNESS; EXISTENCE; EQUATION;
D O I：
10.3934/dcds.2015.35.2041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Following conservative solutions of the two-component Camassa Holm system u(t) - u(txx) + 3uu(x) - 2u(x)u(xx) - uu(xxx) + rho rho(x) = 0, rho(t) + (up)(x) = 0 along characteristics, we determine if wave breaking occurs in the nearby future or not, for initial data u(0) is an element of H-1(R) and rho(0) is an element of L-2(R).
引用
收藏
页码：2041 / 2051
页数：11
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