Differential and Integral Equations

Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity

Henry David and Silvia Sastre-Gomez

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Abstract

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.

Article information

Source
Differential Integral Equations Volume 31, Number 1/2 (2018), 1-26.

Dates
First available in Project Euclid: 26 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1509041399

Subjects
Primary: 35B32: Bifurcation [See also 37Gxx, 37K50] 35Q31: Euler equations [See also 76D05, 76D07, 76N10] 35J25: Boundary value problems for second-order elliptic equations

Citation

David, Henry; Sastre-Gomez, Silvia. Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity. Differential Integral Equations 31 (2018), no. 1/2, 1--26. https://projecteuclid.org/euclid.die/1509041399


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