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Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model
Matthieu Hillairet, Hélène Mathis, Nicolas Seguin
This paper is the second of the series of two papers, which focuses on the derivation of an averaged 1D model for compressible bubbly flows. For this, we start from a microscopic d…
A Nonisothermal Thermodynamical Model Of Liquid-vapor Interaction With Metastability
Hala Ghazi, Francois James, Hélène Mathis
The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well…
A thermodynamically consistent model of a liquid-vapor fluid with a gas
Hélène Mathis
This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are mis-cible, the mixture is subjected to a…
Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws
Clément Cancès, Hélène Mathis, Nicolas Seguin
We study the finite volume approximation of strong solutions to nonlinear systems of conservation laws. We focus on time-explicit schemes on unstructured meshes, with entropy satis…