Existence and uniqueness for the Prandtl equations

Authors
Cannone, M Lombardo, MC Sammartino, M
Citation
M. Cannone et al., Existence and uniqueness for the Prandtl equations, CR AC S I, 332(3), 2001, pp. 277-282
Citations number
8
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
3
Year of publication
2001
Pages
277 - 282
Database
ISI
SICI code
0764-4442(20010201)332:3<277:EAUFTP>2.0.ZU;2-S
Abstract
Under the hypothesis of analyticity of the data with respect to the tangent ial variable we prove the existence and uniqueness of the mild solution of Prandtl boundary layer equation. This can be considered an improvement of t he results of [8] as we do not require analyticity with respect to the norm al variable. (C) 2001 Academie des sciences/Editions scientifiques et medic ales Elsevier SAS.