Document Zbl 1413.35060

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Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity. (English) Zbl 1413.35060

Differ. Integral Equ. 31, No. 1-2, 1-26 (2018).

Summary: In this article, we apply local bifurcation theory to prove the existence of small-amplitude steady periodic water waves, which propagate over a flat bed with a specified fixed mean-depth, and where the underlying flow has a discontinuous vorticity distribution.

Cited in 6 Documents

MSC:

35B32	Bifurcations in context of PDEs
35Q31	Euler equations
35J25	Boundary value problems for second-order elliptic equations

Keywords:

water wave problem; regularity property; Euler equation; Crandall-Rabinowitz local bifurcation theorem

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