Global well-posedness of the 2D primitive equations in a thin strip

Orateur:	Van-Sang Ngo
Localisation:
Type:	Groupe de travail équations aux dérivées partielles
Site:	N/A
Salle:	UPEC P1-038
Date de début:	10/10/2024 - 13:45
Date de fin:	10/10/2024 - 14:45

Abstract : We prove the global well-posedness of the 2D non-rotating primitive equations with no-slip boundary conditions in a thin strip of width ε for small data which are analytic in the tangential direction. We also prove that the hydrostatic limit (when ε → 0) is a couple of a Prandtl-like system for the velocity with a transport-diffusion equation for the temperature. This is a joint work with Nacer Aarach (IMB, Université de Bordeaux).