Regularity and symmetry properties of rotational solitary water waves

DOI10.1007/s00028-012-0141-7zbMath1254.35195OpenAlexW1987267916MaRDI QIDQ692812

Bogdan-Vasile Matioc, Anca-Voichita Matioc

Publication date: 6 December 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-012-0141-7

zbMATH Keywords

symmetrymaximum principlessolitary wavereal-analytic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50) Soliton solutions (35C08)

Related Items

Analyticity of Rotational Water Waves ⋮ The Froude number for solitary water waves with vorticity ⋮ Steady periodic rotational gravity waves with negative surface tension ⋮ A characterization of the symmetric steady water waves in terms of the underlying flow ⋮ Steady stratified periodic gravity waves with surface tension. I: Local bifurcation. ⋮ Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents ⋮ On flow simplification occurring in viscous three-dimensional water flows with constant non-vanishing vorticity ⋮ Symmetric waves are traveling waves for a shallow water equation modeling surface waves of moderate amplitude ⋮ Regularity results for deep-water waves with Hölder continuous vorticity

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