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- Centre National de la Recherche ScientifiqueFR53 papers
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- École Normale Supérieure de LyonFR5 papers
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4 papers · 2 filters
The Oberbeck-Boussinesq approximation in critical spaces
Raphaël Danchin, Lingbing He
In this paper we study the validity of the so-called Oberbeck-Boussinesq approximation for compressible viscous perfect gases in the whole three-dimensional space. Both the cases o…
Convergence of a low order non-local Navier-Stokes-Korteweg system: the order-parameter model
Frederic Charve
In the present article we consider a capillary compressible system introduced by C. Rohde after works of Bandon, Lin and Rogers, called the order-parameter model, and whose aim is…
On a Lagrangian method for the convergence from a non-local to a local Korteweg capillary fluid model
Frederic Charve, Boris Haspot
In the present article we are interested in further investigations for the barotropic compressible Navier-Stokes system endowed with a non-local capillarity we studied in [7]. Than…
Fractional BV spaces and first applications to scalar conservation laws
Christian Bourdarias, Marguerite Gisclon, Stéphane Junca
The aim of this paper is to obtain new fine properties of entropy solutions of nonlinear scalar conservation laws. For this purpose, we study some "fractional spaces" denoted…