Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity. (February 2015)

• Record Type: Journal Article
• Authors: Martin, Calin Iulian
• Is Part Of: Nonlinear analysis. Volume 21(2015)
• Page Start: 27
• Page End: 33
• Publication Date: 2015-02
• Subjects: General vorticity -- Equatorial gravity waves -- Regularity of solutions; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.06.003
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We prove analyticity of the streamlines beneath the surface and the smoothness of the free surface for geophysical equatorial water flows with a general Hölder continuously differentiable underlying vorticity distribution under the assumption of no stagnation points in the flow. Moreover, we prove that the real-analyticity of the vorticity function implies the real-analyticity of the free surface.