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A partir d'une theorie abstraite de Weissler, on construit une theorie d'existence locale pour une generalisation de l'equation de Burgers et l'equation de Navier-Stokes dans l'espace de Banach L p (R n )

The generalized Burgers’ equation and the Navier-Stokes equation in 𝑅ⁿ with singular initial data