Methods and Applications of Analysis
Volume 20 (2013)
A free boundary model for Korteweg fluids as a limit of barotropic compressible Navier-Stokes equations
Pages: 165 – 178
We consider the limit of some barotropic compressible fluid model with Korteweg forcing term, studied in , as the exponent of the barotropic law goes to infinity. This provides a free boundary problem model, with capillary effects, and therefore generalizes the free boundary model obtained by Lions and Masmoudi . Our interest for such free boundary problem stems from a study of the Leidenfrost effect.
compressible Navier-Stokes equations, Korteweg fluid, free boundary problem
2010 Mathematics Subject Classification
35Q30, 35R35, 76N10, 76T10