Scholarlink

<p>We study the dynamical behavior of geophysical water waves with centripetal forces in a two-layer model, with constant and parallel vorticity vectors in the <i>f</i>-plane approximation. For the time-dependent case, under some appropriate regularity conditions on the interface, we show that the bounded flow solutions are actually two-dimensional. For the time-independent case, we consider steady geophysical waves propagating in the <i>x</i>-axis as well as steady geophysical waves propagating in the <i>xy</i>-plane. In both cases, under some assumptions of boundedness and regularity, we prove the two-dimensionality for geophysical flows and geophysical-capillary flows with centripetal forces. In particular, for the steady case in the <i>x</i>-direction, we can further determine some flow solutions with parallel constant vorticity.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Constant vorticity water waves in the two-layer geophysical flows with centripetal forces

  • 期刊论文

  • 发表日期：

    2025年7月3日

查看全文
  • Yanjuan Yang,
  • Jin Zhao

摘要

We study the dynamical behavior of geophysical water waves with centripetal forces in a two-layer model, with constant and parallel vorticity vectors in the f-plane approximation. For the time-dependent case, under some appropriate regularity conditions on the interface, we show that the bounded flow solutions are actually two-dimensional. For the time-independent case, we consider steady geophysical waves propagating in the x-axis as well as steady geophysical waves propagating in the xy-plane. In both cases, under some assumptions of boundedness and regularity, we prove the two-dimensionality for geophysical flows and geophysical-capillary flows with centripetal forces. In particular, for the steady case in the x-direction, we can further determine some flow solutions with parallel constant vorticity.