On the existence theory for irrotational water waves (original) (raw)

Mathematical Proceedings of the Cambridge Philosophical Society, 1978

Abstract

ABSTRACT This paper concerns steady plane periodic waves on the surface of an ideal liquid flowing above a horizontal bottom. The flow is irrotational. The volume flow rate is denoted by Q, the velocity potential by ø, the period in ø of the waves by 2L, and the maximum angle of inclination between the tangent to the surface and the horizontal by θm.Krasovskii (12) established that, at each fixed Q and L, there exist wave solutions for each value of θm strictly between zero and π. We establish that, at each fixed Q and L, there exist wave solutions for each value of qc strictly between c and zero. Here qc is the flow speed at the crest, and

Grant Keady hasn't uploaded this paper.

Let Grant know you want this paper to be uploaded.

Ask for this paper to be uploaded.