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physics.flu-dyn2019
Leray turbulence: what can we learn from acceleration compared to velocity
Yves Pomeau, Martine Le Berre
In a recent paper we presented evidence for the occurence of Leray-like singularities with positive Sedov-Taylor exponent in turbulent flows recorded in Modane's wind tunnel, b…
physics.flu-dyn2019
Conservation of the circulation for the Euler and Euler-Leray equations
Jean Ginibre, Martine Le Berre, Yves Pomeau
It is well-known that the circulation of the velocity field of a fluid along a closed material curve is conserved for any solution of the Euler equation. We offer a slightly more e…
physics.flu-dyn2019★ 1 cited
Blowing-up solutions of the axisymmetric Euler equations for an incompressible fluid
Yves Pomeau, Martine Le Berre
A 1934 paper by Leray posed the question of the regularity of solutions of the dynamical equations for incompressible inviscid fluids with smooth initial data. Since there has been…