The existence and uniqueness of the mild solution of the boundary layer (BL) equation is proved assuming analyticity of the data with respect to the tangential variable. Moreover we use the well-posedness of the BL equation to perform an asymptotic expansion of the Navier-Stokes equations on a bounded domain.
Lombardo, M.C., Sammartino Marco Maria Luigi (2002). Existence and uniqueness for Prandtl equations and zero viscosity limit of the Navier-Stokes equations. In WASCOM 2001: 11TH CONFERENCE ON WAVES AND STABILITY IN CONTINUOUS MEDIA, PROEEDINGS (pp.290-295). WORLD SCIENTIFIC PUBL CO PTE LTD [10.1142/9789812777331\_0036].
Existence and uniqueness for Prandtl equations and zero viscosity limit of the Navier-Stokes equations
LOMBARDO, Maria Carmela;SAMMARTINO, Marco Maria Luigi
2002-01-01
Abstract
The existence and uniqueness of the mild solution of the boundary layer (BL) equation is proved assuming analyticity of the data with respect to the tangential variable. Moreover we use the well-posedness of the BL equation to perform an asymptotic expansion of the Navier-Stokes equations on a bounded domain.
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