On the Hamiltonian and geometric structure of Langmuir circulation

• Main Author: Yang, Cheng
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Langmuir Circulation; Craik-Leibovich Equation
• Online Access: https://hdl.handle.net/10356/171171
• Institution: Nanyang Technological University

The Craik-Leibovich equation (CL) serves as the theoretical model for Langmuir circulation. We show that the CL equation can be reduced to the dual space of a certain Lie algebra central extension. On this space, the CL equation can be rewritten as a Hamiltonian equation corresponding to the kinetic...