On the persistence and blow up for the generalized two-component Dullin–Gottwald–Holm system
On the persistence and blow up for the generalized two-component Dullin–Gottwald–Holm system
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DOI：
10.1007/s00605-019-01294-6
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发表时间：
2019-07
期刊：
影响因子：
--
通讯作者：
Y. Wang;Min Zhu
中科院分区：
文献类型：
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作者：
Y. Wang;Min Zhu
本文研究了线性剪切流中浅水波运动中由具有非零常涡量的Euler方程导出的广义双分量可积Dullin-Gottwald-霍尔姆方程组解的持久性。首先，在加权空间中研究了系统的持久性。然后，我们建立了新的局部空间爆破结果，简化和推广了以前的爆破准则。
Considered herein is the persistence property of the solutions to the generalized two-component integrable Dullin–Gottwald–Holm system, which was derived from the Euler equation with nonzero constant vorticity in shallow water waves moving over a linear shear flow. Firstly, the persistence properties of the system are investigated in weighted-spaces for a large class of moderate weights. Then, we establish the newlocal-in-spaceblow-up results simplifying and extending earlier blow-up criterion for this system.