Differential and Integral Equations
- Differential Integral Equations
- Volume 27, Number 3/4 (2014), 217-232.
On the analyticity of periodic gravity water waves with integrable vorticity function
We prove that the streamlines and the profile of periodic gravity water waves traveling over a flat bed with wavespeed which exceeds the horizontal velocity of all fluid particles are real-analytic graphs if the vorticity function is merely integrable.
Differential Integral Equations, Volume 27, Number 3/4 (2014), 217-232.
First available in Project Euclid: 30 January 2014
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q31: Euler equations [See also 76D05, 76D07, 76N10] 76B03: Existence, uniqueness, and regularity theory [See also 35Q35] 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also 35Q30] 76B47: Vortex flows
Escher, Joachim; Matioc, Bogdan-Vasile. On the analyticity of periodic gravity water waves with integrable vorticity function. Differential Integral Equations 27 (2014), no. 3/4, 217--232. https://projecteuclid.org/euclid.die/1391091364