分层水波对称性的若干判据
Some criteria for the symmetry of stratified water waves
摘要：
本文研究了二维稳定分层定常周期重力水波，其表面轮廓在波峰和波谷之间是单调的。我们提供了充分条件，在此条件下这种波必然是对称的。这是通过首先利用控制方程中的一些椭圆结构来实现的，以表明在某些尺寸范围内，最大值原理成立。这就形成了移动平面论证方法的基础。
英文摘要：
This paper considers two-dimensional stably stratified steady periodic gravity water waves with surface profiles monotonic between crests and troughs. We provide sufficient conditions under which such waves are necessarily symmetric. This is done by first exploiting some elliptic structure in the governing equations to show that, in certain size regimes, a maximum principle holds. This then forms the basis for a method of moving planes argument.
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