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Article Dans Une Revue Methods and Applications of Analysis Année : 2013

A free boundary model for Korteweg fluids as a limit of barotropic compressible Navier-Stokes equations

Résumé

We consider the limit of some barotropic compressible fluid model with Korteweg forcing term, studied in (Bresch, Desjardin and Lin, 2002), 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, 1999). Our interest for such free boundary problem stems from a study of the Leidenfrost effect.
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Dates et versions

hal-00744349 , version 1 (22-10-2012)
hal-00744349 , version 2 (21-03-2013)

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Citer

Stéphane Labbé, Emmanuel Maitre. A free boundary model for Korteweg fluids as a limit of barotropic compressible Navier-Stokes equations. Methods and Applications of Analysis, 2013, 20 (2), pp.165-178. ⟨10.4310/MAA.2013.v20.n2.a4⟩. ⟨hal-00744349v2⟩
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