Applied Math Seminar
All talks are from 12:00-1:00 p.m. in the Seminar Room CH351, unless otherwise specified.
On the existence and uniqueness of the 3D compressible primitive equations of atmospheric dynamicsLeon LiTexas A&M UniversityTime: 12:00 PMThe vertical scale in the atmosphere is relatively much smaller than the relevant horizontal scales. Capitalizing on this small aspect ratio, formal asymptotic analysis yields the compressible primitive equations for the atmospheric dynamics, which are obtained by replacing the vertical momentum equation in the compressible Navier-Stokes equations by the hydrostatic balance equation. In this talk, we report about recent advances concerning the well-posedness of the 3D compressible primitive equations, in particular, of how to overcome the diﬃculty caused by the absence of an evolutionary equation for the vertical momentum. This is joint work with Edriss S. Titi, Texas A&M.