A KdV-type Boussinesq system: From the energy level to analytic spaces
A KdV-type Boussinesq system: From the energy level to analytic spaces
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DOI：
10.3934/dcds.2010.26.1121
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发表时间：
2009-12
影响因子：
1.1
通讯作者：
J. Bona;Z. Grujić;H. Kalisch
中科院分区：
文献类型：
--
作者：
J. Bona;Z. Grujić;H. Kalisch
这里考虑的是一个KdV型Boussinesq系统的适定性建模双向传播的小振幅长波的表面上的理想流体时，运动是明智的二维。解决方案中得到的范围内的Sobolev型空间，从能量水平的分析Gevrey空间。此外，根据解析性的损失，导出了有限时间爆破可能性的判别准则。
Considered here is the well-posedness of a KdV-type Boussinesq system modeling two-way propagation of small-amplitude long waves on the surface of an ideal fluid when the motion is sensibly two dimensional. Solutions are obtained in a range of Sobolev-type spaces, from the energy level to the analytic Gevrey spaces. In addition, a criterion for detecting the possibility of blow-up in finite time in terms of loss of analyticity is derived.