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math.AP2008★ 5 cited
The second iterate for the Navier-Stokes equation
Pierre Germain
We consider the iterative resolution scheme for the Navier-Stokes equation, and focus on the second iterate, more precisely on the map from the initial data to the second iterate a…
math.AP2008
Smooth self-similar blow-up profiles for the wave map equation
Pierre Germain
Consider the equivariant wave map equation from Minkowski space to a rotationnally symmetric manifold which has an equator (example: the sphere). In dimension 3, this article gives…