A new approach to study constant vorticity water flows in the $\beta$-plane approximation with centripetal forces

2021 ◽  
Vol 18 (3) ◽  
pp. 199-210
Author(s):  
Fahe Miao ◽  
Michal Fečkan ◽  
Jinrong Wang
Keyword(s):  
New Approach ◽  
Water Flows ◽  
Constant Vorticity ◽  
Beta Plane ◽  
Centripetal Forces

Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation

2021 ◽  
Vol 23 (3) ◽  
Author(s):  
JinRong Wang ◽  
Michal Fečkan ◽  
Yi Guan
Keyword(s):  
Constant Vorticity ◽  
Beta Plane

scholarly journals Constant vorticity water flows with full Coriolis term

Nonlinearity ◽  
2019 ◽  
Vol 32 (7) ◽  
pp. 2327-2336 ◽  
Author(s):  
Calin Iulian Martin
Keyword(s):  
Water Flows ◽  
Constant Vorticity

scholarly journals Large-Amplitude Steady Downstream Water Waves

2021 ◽  
Author(s):  
Adrian Constantin ◽  
Walter Strauss ◽  
Eugen Vărvărucă
Keyword(s):  
Gravity Waves ◽  
Water Waves ◽  
Large Amplitude ◽  
Water Surface ◽  
Maximum Amplitude ◽  
Uniform Bounds ◽  
Water Flows ◽  
Constant Vorticity ◽  
The Waves ◽  
Uniformly Bounded

AbstractWe study wave-current interactions in two-dimensional water flows of constant vorticity over a flat bed. For large-amplitude periodic traveling gravity waves that propagate at the water surface in the same direction as the underlying current (downstream waves), we prove explicit uniform bounds for their amplitude. In particular, our estimates show that the maximum amplitude of the waves becomes vanishingly small as the vorticity increases without limit. We also prove that the downstream waves on a global bifurcating branch are never overhanging, and that their mass flux and Bernoulli constant are uniformly bounded.

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