Dispersion Relations for Steady Periodic Water Waves of Fixed Mean-Depth with an Isolated Bottom Vorticity Layer

DOI10.1142/S1402925112400074zbMath1362.35221OpenAlexW1978502187MaRDI QIDQ5737706

David Henry

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925112400074

zbMATH Keywords

dispersion relationsteady water wavesdiscontinuous vorticity

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Waves for incompressible viscous fluids (76D33) Euler equations (35Q31)

Related Items (7)

On periodic geophysical water flows with discontinuous vorticity in the equatorial f -plane approximation ⋮ Dispersion relations for gravity water flows with two rotational layers ⋮ Steady periodic waves and formal stability for fixed-depth rotational equatorial flows ⋮ Dispersion relations for fixed mean-depth flows with two discontinuities in vorticity ⋮ Dispersion relations for rotational gravity water flows having two jumps in the vorticity distribution ⋮ Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity ⋮ Dispersion relations for fixed mean-depth steady periodic water waves with affine vorticities

Cites Work

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• Elliptic partial differential equations of second order
• Steady periodic waves bifurcating for fixed-depth rotational flows
• Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis

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