WELL-POSEDNESS OF THE PRANDTL EQUATION IN SOBOLEV SPACES

Radjesvarane Alexandre (1) , Yaguang Wang , Chao-Jiang Xu (2) , Tong Yang (3)

1 IRENAV - Institut de Recherche de l'Ecole Navale
2 LMRS - Laboratoire de Mathématiques Raphaël Salem
3 Pr. - Department of mathematics

Mots clés: Prandtl equation; well-posedness theory; Sobolev spaces; energy method; monotonic velocity field; Nash-Moser-H¨ormander iteration.

Domaines: Equations aux dérivées partielles [math.AP]

Radjesvarane Alexandre, Yaguang Wang, Chao-Jiang Xu, Tong Yang. WELL-POSEDNESS OF THE PRANDTL EQUATION IN SOBOLEV SPACES. Journal of the American Mathematical Society, 2014, pp.1-40. ⟨10.1090/S0894-0347-2014-00813-4⟩. ⟨hal-01116737⟩