论文标题
准地缘浅水阵线的全球解决方案
Global solutions of quasi-geostrophic shallow-water fronts
论文作者
论文摘要
在本文中，我们考虑了准斑块浅水（QGSW）方程的一系列分段恒定解决方案。我们得出了QGSW前端的轮廓动力学方程，该方程是非线性的，非局部分散方程，当初始数据足够靠近平坦的前端时，证明了解决方案的全局存在。
In this paper, we consider a family of piecewise constant solutions of the quasi-geostrophic shallow-water (QGSW) equation. We derive the contour dynamics equation of the QGSW front, which is a nonlinear, nonlocal dispersive equation, and prove the global existence of the solutions when the initial data is sufficiently close to a flat front.
