Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit
Klein-Gordon-Zakharov system in energy space: Blow-up profile and subsonic limit
复制标题
能量空间中的克莱因-戈登-扎哈罗夫系统：爆炸剖面和亚音速极限
DOI：
10.1002/mma.5579
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发表时间：
2019
影响因子：
2.9
通讯作者：
Wang Shu
中科院分区：
文献类型：
--
作者：
Shi Qihong;Wang Shu
本文利用修正的Lagrange方法证明了三维Klein‐Gordon‐Zakharov（KGZ）系统在能量空间中的有限时间爆破.我们分别在局部和整体空间中得到解的爆破速率。另外，利用能量收敛性，研究了KGZ系统Cauchy问题的亚音速极限，证明了在能量空间中，任何有限能量解都收敛于Klein-Gordon方程的相应解.
In this paper, we prove finite‐time blowup in energy space for the three‐dimensional Klein‐Gordon‐Zakharov (KGZ) system by modified concavity method. We obtain the blow‐up rates of solutions in local and global space, respectively. In addition, by using the energy convergence, we study the subsonic limit of the Cauchy problem for KGZ system and prove that any finite energy solution converges to the corresponding solution of Klein‐Gordon equation in energy space.