2 citations · 4 across the 4 of their papers we have counts for
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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…
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…
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…
A case of strong non linearity: intermittency in highly turbulent flows
Yves Pomeau, Martine Le Berre, Thierry Lehner
It has long been suspected that flows of incompressible fluids at large or infinite Reynolds number (namely at small or zero viscosity) may present finite time singularities. We re…
Recording of Leray-type singular events in a high speed wind tunnel
Martine Le Berre, Yves Pomeau
It has long been suspected that flows of incompressible fluids at very large or infinite Reynolds may present finite time singularities. We review briefly the theoretical situation…