15 citations · 17 across the 2 of their papers we have counts for
4 papers · 1 filter
Complex-space singularities of 2D Euler flow in Lagrangian coordinates
T. Matsumoto, J. Bec, U. Frisch
We show that, for two-dimensional space-periodic incompressible flow, the solution can be evaluated numerically in Lagrangian coordinates with the same accuracy achieved in standar…
Nature of complex singularities for the 2D Euler equation
W. Pauls, T. Matsumoto, U. Frisch +1
A detailed study of complex-space singularities of the two-dimensional incompressible Euler equation is performed in the short-time asymptotic régime when such singularities are ve…
The analytic structure of 2D Euler flow at short times
T. Matsumoto, J. Bec, U. Frisch
Using a very high precision spectral calculation applied to the incompressible and inviscid flow with initial condition , we find that the width…
Multifractality of the Feigenbaum attractor and fractional derivatives
U. Frisch, K. Khanin, T. Matsumoto
It is shown that fractional derivatives of the (integrated) invariant measure of the Feigenbaum map at the onset of chaos have power-law tails in their cumulative distributions, wh…