Existence for the α-patch model and the QG sharp front in Sobolev spaces
Existence for the α-patch model and the QG sharp front in Sobolev spaces
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DOI：
10.1016/j.aim.2007.10.010
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发表时间：
2007-01
影响因子：
1.7
通讯作者：
F. Gancedo
中科院分区：
文献类型：
--
作者：
F. Gancedo
我们考虑一类依赖于参数α的轮廓动力学方程，参数α为0<α≤1。当α= 0时，得到二维欧拉方程的涡斑问题，当α=1时对应于QG方程的一个尖锋。证明了Sobolev空间中一类方程组的局域存在性。
We consider a family of contour dynamics equations depending on a parameter α with 0<α⩽1. The vortex patch problem of the 2-D Euler equation is obtained taking α→0, and the case α=1 corresponds to a sharp front of the QG equation. We prove local-in-time existence for the family of equations in Sobolev spaces.