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math.AP2021★ 1 cited
Looking at Euler flows through a contact mirror: Universality and undecidability
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. In recent papers [5, 6, 7, 8] several unknown facets of the E…
math.AP2021
Turing universality of the incompressible Euler equations and a conjecture of Moore
Robert Cardona, Eva Miranda, Daniel Peralta-Salas
In this article we construct a compact Riemannian manifold of high dimension on which the time dependent Euler equations are Turing complete. More precisely, the halting of any Tur…