4.4 Article

Monotonicity of horizontal fluid velocity and pressure gradient distribution beneath equatorial Stokes waves

Journal

MONATSHEFTE FUR MATHEMATIK
Volume 198, Issue 4, Pages 805-817

Publisher

SPRINGER WIEN
DOI: 10.1007/s00605-022-01684-3

Keywords

Equatorial flow; Velocity; Pressure gradient; Coriolis forces; Maximum principles

Categories

Funding

  1. National Natural Science Foundation of China [12161015]
  2. Training Object of High Level and Innovative Talents of Guizhou Province [(2016)4006]
  3. Major Research Project of Innovative Group in Guizhou Education Department [[2018]012]
  4. Guizhou Data Driven Modeling Learning and Optimization Innovation Team [[2020]5016]
  5. Slovak Research and Development Agency [APVV-18-0308]
  6. Slovak Grant Agency VEGA [1/0358/20, 2/0127/20]

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In this paper, we studied the irrotational periodic equatorial surface travelling waves in flows taking into account Coriolis forces due to the Earth's rotation. The monotonicity of horizontal velocity and pressure gradient distribution was obtained through the physical structures of the problem itself and the maximum principles.
In this paper, we study the irrotational periodic equatorial surface travelling waves in flows without neglecting Coriolis forces due to the Earth's rotation. The monotonicity of horizontal velocity and pressure gradient distribution are obtained by the physical structures for the problem itself and the maximum principles.

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