Displaying similar documents to “Navier–Stokes regularization of multidimensional Euler shocks”

Local well-posedness for the incompressible Euler equations in the critical Besov spaces

Yong Zhou (2004)

Annales de l’institut Fourier

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In this paper we establish the existence and uniqueness of the local solutions to the incompressible Euler equations in N , N 3 , with any given initial data belonging to the critical Besov spaces B p , 1 N / p + 1 . Moreover, a blowup criterion is given in terms of the vorticity field.