Contour dynamics for surface quasi-geostrophic fronts
Contour dynamics for surface quasi-geostrophic fronts
复制标题
地表准地转锋的等高线动力学
DOI：
10.1088/1361-6544/ab8d16
复制
发表时间：
2019-07
期刊：
影响因子：
1.7
通讯作者：
J. K. Hunter;Jingyang Shu;Qingtian Zhang
中科院分区：
文献类型：
--
作者：
J. K. Hunter;Jingyang Shu;Qingtian Zhang
我们推导出无限平面准地转锋运动的轮廓动力学方程，它可以表示为一个图形。我们给出了两种不同的推导结果：一种是基于将锋面速度场分解为剪切流和从锋面衰减的扰动;另一种是基于对作为BMO元素跨越锋面的分段常数L∞函数的Riesz变换的解释。由此产生的方程等价于Hunter和Shu（2018）之前引入的正则化过程导出的方程。
We derive contour dynamics equations for the motion of infinite planar surface quasi-geostrophic fronts that can be represented as a graph. We give two different derivations with the same result: one is based on a decomposition of the front velocity field into a shear flow and a perturbation that decays away from the front; the other is based on the interpretation of the Riesz transform of the piecewise-constant L∞-function that jumps across the front as an element of BMO. The resulting equation is equivalent to one derived by a regularization procedure introduced previously by Hunter and Shu (2018).