In this paper we shall be concerned with Prandtl's equations with incompatible data, i.e. with initial data that, in general, do not fulfil the boundary conditions imposed on the solution. Under the hypothesis of analyticity in the streamwise variable, we shall prove that Prandtl's equations, on the half-plane or on the half-space, are well posed for a short time.

Cannone, M., Lombardo, M.C., Sammartino, M. (2013). Well-posedness of Prandtl equations with non-compatible data. NONLINEARITY, 26 [10.1088/0951-7715/26/12/3077].

Well-posedness of Prandtl equations with non-compatible data

LOMBARDO, Maria Carmela;SAMMARTINO, Marco Maria Luigi
2013-01-01

Abstract

In this paper we shall be concerned with Prandtl's equations with incompatible data, i.e. with initial data that, in general, do not fulfil the boundary conditions imposed on the solution. Under the hypothesis of analyticity in the streamwise variable, we shall prove that Prandtl's equations, on the half-plane or on the half-space, are well posed for a short time.
2013
Settore MAT/07 - Fisica Matematica
Cannone, M., Lombardo, M.C., Sammartino, M. (2013). Well-posedness of Prandtl equations with non-compatible data. NONLINEARITY, 26 [10.1088/0951-7715/26/12/3077].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/89643
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