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Existence and uniqueness for the Prandtl equations

Abstract : Under the hypothesis of analyticity of the data with respect to the tangential variable we prove the existence and uniqueness of the mild solution of Prandtl boundary layer equation. This can be considered an improvement of the results of [8] as we do not require analyticity with respect to the normal variable. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
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Marco Cannone, Mc Lombardo, M Sammartino. Existence and uniqueness for the Prandtl equations. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2001, 332 (3), pp.277--282. ⟨10.1016/S0764-4442(00)01798-5⟩. ⟨hal-00693748⟩

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