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nlin.CD2007★ 15 cited
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…
nlin.CD2005
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…
nlin.CD2003
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…