A method for finding exact solutions to the 2D and 3D Euler-Boussinesq equations in Lagrangian coordinates

DOI10.1007/s00021-023-00835-2arXiv2309.09692OpenAlexW4388654397MaRDI QIDQ6184832

Jukka Tuomela, Tomi Saleva

Publication date: 29 January 2024

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.09692

zbMATH Keywords

explicit solutionsEuler equationsLagrangian formulationBoussinesq equationsstratified fluids

Mathematics Subject Classification ID

Stratification effects in inviscid fluids (76B70) Euler equations (35Q31) Classical solutions to PDEs (35A09)

Cites Work

• Unnamed Item
• Unnamed Item
• An exact solution for equatorial geophysical water waves with an underlying current
• A Lagrangian study of internal Gerstner- and Stokes-type gravity waves
• Gerstner's water wave and mass transport
• On the explicit solutions of separation of variables type for the incompressible 2D Euler equations
• Explicit solutions to the 3D incompressible Euler equations in Lagrangian formulation
• Non-steady columnar motions in rotating stratified Boussinesq fluids: exact Lagrangian and Eulerian description
• On Edge Waves in Stratified Water Along a Sloping Beach
• Lagrangian Fluid Dynamics
• Gerstner waves in the presence of mean currents and rotation
• Nonlinear wind-drift ocean currents in arctic regions
• Comments on: nonlinear wind-drift ocean currents in arctic regions