摘要
考虑一般的两个分量的Dullin-Gottwald-Holm(GDGH2)系统解的爆破和无限传播速度.首先,给出了一个保证强解发生爆破的新的充分条件.然后,证明了对GDGH2的非平凡古典解而言,初始值u0(x)和ρ0(x)有紧支集不能保证相应的解有紧支集.
Considered herein is the blow-up and the propagation of compact support of the solution to GDGH2,that is generalized 2-component Dullin-Gottwald-Holm system.Firstly,a blow-up condition to assure wave-breaking phenomena is shown.Moreover,we demonstrate that any nontrivial solution(here it refers to classical solution)of the DGH2 system will has no compact support even if its initial data u0(x)andρ0(x)have this character.
作者
刘静静
吴甜甜
LIU Jing-jing;WU Tian-tian(Department of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China)
出处
《数学的实践与认识》
北大核心
2020年第10期231-237,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11701525,11326161)。
