On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary

On the Construction of Traveling Water Waves with Constant Vorticity and Infinite Boundary

The issue of whether there is a closed orbit in the water waves in an infinite boundary condition is an outstanding open problem. In this work, we first discuss the various developments on the structure of water waves in the context of finite bottom conditions. We then focus on the behavior of water...

Full description

Saved in:
Bibliographic Details
Published in:International journal of mathematics and mathematical sciences Vol. 2023; no. 1
Main Authors: Shrestha, Pawan, KC, Durga Jang, Sharma, Ramjee
Format: Journal Article
Language:English
Published: New York Hindawi 06-01-2023
John Wiley & Sons, Inc
Hindawi Limited
Subjects:
19th century
Boundary conditions
Gravity
Kinematics
Velocity
Vorticity
Water waves
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The issue of whether there is a closed orbit in the water waves in an infinite boundary condition is an outstanding open problem. In this work, we first discuss the various developments on the structure of water waves in the context of finite bottom conditions. We then focus on the behavior of water for the kinematic boundary for the infinite depth. We present some findings to address this issue by creating a water wave profile for the zero and constant vorticity conditions through the application of the Crandall–Rabinowitz theorem.
ISSN:0161-1712
1687-0425
DOI:10.1155/2023/6317674