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math.NA2018
Navier-Stokes equations on Riemannian manifolds
Maryam Samavaki, Jukka Tuomela
We study properties of the solutions to Navier-Stokes system on compact Riemannian manifolds. The motivation for such a formulation comes from atmospheric models as well as some th…
math.AP2018
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…