论文标题
两层密度分层的大振幅孤立波
Large-amplitude solitary waves in two-layer density stratified water
论文作者
论文摘要
我们为通过两层水体传播的二维孤立波提供了大振幅的存在理论。流体的结构域在恒定压力下由不可渗透的平坦海底及以上的界限界定。对于任何平滑的上游密度分布和层流背景电流，我们构建了全局解决方案曲线。该曲线从背景电流分叉，并沿着曲线沿着曲线，发现任意接近水平停滞点的波。 小振幅波是使用中心歧管还原技术构建的。大振幅理论是通过分析全局分叉以及波的精制定性特性获得的。
We present a large-amplitude existence theory for two-dimensional solitary waves propagating through a two layer body of water. The domain of the fluid is bounded below by an impermeable flat ocean floor and above by a free boundary at constant pressure. For any piecewise smooth upstream density distribution and laminar background current, we construct a global curve of solutions. This curve bifurcates from the background current and, following along the curve, we find waves that are arbitrarily close to having horizontal stagnation points. The small-amplitude waves are constructed using a center manifold reduction technique. The large-amplitude theory is obtained through analytical global bifurcation together with refined qualitative properties of the waves.
