Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898934 | Journal of Differential Equations | 2018 | 16 Pages |
Abstract
We consider the angle of inclination (with respect to the horizontal) of the profile of a steady 2D inviscid symmetric periodic or solitary water wave subject to gravity. There is an upper bound of 31.15° in the irrotational case [1] and an upper bound of 45° in the case of favorable vorticity [13]. On the other hand, if the vorticity is adverse, the profile can become vertical. We prove here that if the adverse vorticity is sufficiently small, then the angle still has an upper bound which is slightly larger than 45°.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Seung Wook So, Walter A. Strauss,