A Note on Viscous Capillary Fluids in Fast Rotation

Francesco Fanelli


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.


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

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DOI: 10.6092/issn.2240-2829/5892


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