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A Method for Finding Exact Solutions to the 2D and 3D Euler-Boussinesq Equations in Lagrangian Coordinates
Tomi Saleva, Jukka Tuomela
We study the Boussinesq approximation for the incompressible Euler equations using Lagrangian description. The conditions for the Lagrangian fluid map are derived in this setting,…
Explicit solutions to the 3D incompressible Euler equations in Lagrangian formulation
Tomi Saleva, Jukka Tuomela
We introduce many families of explicit solutions to the three dimensional incompressible Euler equations for nonviscous fluid flows using the Lagrangian framework. Almost no exact…
On the explicit solutions of separation of variables type for the incompressible 2D Euler equations
Tomi Saleva, Jukka Tuomela
We study explicit solutions to the 2 dimensional Euler equations in the Lagrangian framework. All known solutions have been of the separation of variables type, where time and spac…
2d incompressible Euler equations: new explicit solutions
Jukka Tuomela, María J. Martín
There are not too many known explicit solutions to the 2-dimensional incompressible Euler equations in Lagrangian coordinates. Special mention must be made of the well-known ones d…