STEADY PERIODIC WATER WAVES BIFURCATING FOR FIXED-DEPTH ROTATIONAL FLOWS WITH DISCONTINUOUS VORTICITY

Henry David; Sastre-Gomez Silvia

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STEADY PERIODIC WATER WAVES BIFURCATING FOR FIXED-DEPTH ROTATIONAL FLOWS WITH DISCONTINUOUS VORTICITY

机译：具有不连续涡流的固定深度旋转流动的稳定周期水波

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In this article, we apply local bifurcation theory to prove the existence of small-amplitude steady periodic water waves, which propagate over a flat bed with a specified fixed mean-depth, and where the underlying flow has a discontinuous vorticity distribution.

机译：在本文中，我们应用局部分叉理论证明存在小幅度稳定的周期性水波，其在具有指定的固定平均深度的平板上传播，并且底层流动具有不连续的涡流分布。

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《Differential and integral equations》 |2018年第2期|共26页
作者
Henry David; Sastre-Gomez Silvia;
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作者单位

Univ Coll Cork Sch Math Sci Cork Ireland;

Univ Fed Pernambuco Dept Matemat Caruaru Brazil;

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正文语种 eng
中图分类微分方程、积分方程;
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专利

1. STEADY PERIODIC WATER WAVES BIFURCATING FOR FIXED-DEPTH ROTATIONAL FLOWS WITH DISCONTINUOUS VORTICITY [J] . Henry David, Sastre-Gomez Silvia Differential and integral equations . 2018,第1a2期

机译：具有不连续涡流的固定深度旋转流动的稳定周期水波
2. On rotational flows with discontinuous vorticity beneath steady water waves near stagnation [J] . Chen Lin, Basu Biswajit, Martin Calin- I Journal of Fluid Mechanics . 2021,第1期

机译：在旋转流动与稳定的水波下面的旋转流动，在停滞附近
3. Steady periodic waves and formal stability for fixed-depth rotational equatorial flows [J] . Journal of Differential Equations . 2020,第5期

机译：固定深度旋转赤道流动的稳定周期波和正式稳定性
4. TRANSITION SCENARIOS DUE TO FLOW BIFURCATIONS IN ASYMMETRIC WAVY CHANNEL FLOWS WITH DIFFERENT SPATIAL PERIODICITY ON THE SINUSOIDAL WALLS [C] . AMADOR M. GUZMAN, FERNANDO A. DONOSO, ALFONSO ORTEGA IMECE2008;ASME international mechanical engineering congress and exposition . 2009

机译：正弦壁上具有不同空间周期性的不对称波浪形通道中的分流引起的过渡态
5. Stratified and steady periodic water waves. [D] . Walsh, Samuel. 2010

机译：分层和稳定的周期性水浪。
6. On periodic geophysical water flows with discontinuous vorticity in the equatorial f-plane approximation [O] . Calin Iulian Martin -1

机译：关于赤道f平面近似中具有不连续涡度的周期性地球物理水流
7. 0 STEADY PERIODIC WATER WAVES WITH CONSTANT VORTICITY: REGULARITY AND LOCAL BIFURCATION [O] . Adrian Constantin, Eugen Varvaruca 2016

机译：0具有恒定涡旋的稳定周期水波：规则性和局部分岔
8. Three-Dimensional Stability and Bifurcation of Steady Water Waves [R] . Saffman, P. G. 1985

机译：稳态水波的三维稳定性与分岔

STEADY PERIODIC WATER WAVES BIFURCATING FOR FIXED-DEPTH ROTATIONAL FLOWS WITH DISCONTINUOUS VORTICITY

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