A Note on Viscous Capillary Fluids in Fast Rotation

Bruno Pini Mathematical Analysis Seminar

Francesco Fanelli¹ 

[1] Centro di Ricerca Matematica “Ennio De Giorgi”, Scuola Normale Superiore;

关键词: Navier-Stokes-Korteweg system;    rotating fluids;    capillarity effects;    singular perturbation problem;    low Mach, Rossby and Weber numbers;   

DOI  :  10.6092/issn.2240-2829/5892

来源: DOAJ

【 摘 要 】

The present note is devoted to the study of singular perturbation problems for a Navier-Stokes-Korteweg system with Coriolis force. Such a model describes the motion of viscous compressible capillary fluids under the action of the Earth rotation. We are interested in the asymptotic behavior of a family of weak solutions in the limit for the Mach, the Rossby and the Weber numbers going to 0.

【 授权许可】

Unknown