| 一般的两个分量的Dullin-Gottwald-Holm系统解的爆破与无限传播速度 |
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| 引用本文： | 刘静静,吴甜甜. 一般的两个分量的Dullin-Gottwald-Holm系统解的爆破与无限传播速度[J]. 数学的实践与认识, 2020, 0(10): 231-237 |
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| 作者姓名： | 刘静静 吴甜甜 |
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| 作者单位： | 郑州轻工业大学数学与信息科学学院 |
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| 基金项目： | 国家自然科学基金(11701525,11326161)。 |
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| 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.
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| 关 键 词： | 两个分量的Dullin-Gottwald-Holm系统 爆破 无限传播速度 |
Blow-up and Infinite Propagation Speed for a Generalized 2-component Dullin-Gottwald-Holm System |
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| LIU Jing-jing,WU Tian-tian. Blow-up and Infinite Propagation Speed for a Generalized 2-component Dullin-Gottwald-Holm System[J]. Mathematics in Practice and Theory, 2020, 0(10): 231-237 |
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| Authors: | LIU Jing-jing WU Tian-tian |
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| Affiliation: | (Department of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China) |
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| Abstract: | 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. |
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| Keywords: | 2-component Dullin-Gottwald-Holm system blow-up infinite propagation speed |
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