Mathematics – Analysis of PDEs
Scientific paper
2012-02-14
Journal of Nonlinear Mathematical Physics, Vol. 19, No. 1 (2012) 1-21
Mathematics
Analysis of PDEs
20 pages, 1 figure
Scientific paper
10.1142/S1402925112001903
In this paper we construct small amplitude periodic internal waves traveling at the boundary region between two rotational and homogeneous fluids with different densities. Within a period, the waves we obtain have the property that the gradient of the stream function associated to the fluid beneath the interface vanishes, on the wave surface, at exactly two points. Furthermore, there exists a critical layer which is bounded from above by the wave profile. Besides, we prove, without excluding the presence of stagnation points, that if the vorticity function associated to each fluid in part is real-analytic, bounded, and non-increasing, then capillary-gravity steady internal waves are a priori real-analytic. Our new method provides the real-analyticity of capillary and capillary-gravity waves with stagnation points traveling over a homogeneous rotational fluid under the same restrictions on the vorticity function.
No associations
LandOfFree
Steady internal water waves with a critical layer bounded by the wave surface does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Steady internal water waves with a critical layer bounded by the wave surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steady internal water waves with a critical layer bounded by the wave surface will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-89303