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The evaporation–condensation problem for a binary mixture of rarefied gases

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Abstract

Half space problems of evaporation and condensation for a binary mixture of inert gases are investigated when the dynamics is governed by a system of Navier–Stokes equations, obtained as hydrodynamic limit of a BGK-type description with dominant elastic collisions. Typical methods of qualitative theory of dynamical systems are used to investigate the one-dimensional stationary problem and to classify the solutions both in subsonic and supersonic cases. Numerical results for a mixture of noble gases are presented; the shock wave structure, representing transition between a subsonic and a supersonic steady flow in thermodynamic equilibrium, and the occurrence of under- and overshoots are discussed.

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Acknowledgements

This work was performed in the frame of activities sponsored by the Italian National Group of Mathematical Physics (GNFM-INdAM) and by the University of Parma (Italy), and supported by the Italian National Research Project Multiscale phenomena in Continuum Mechanics: singular limits, off-equilibrium and transitions (Prin 2017YBKNCE) and by the French-Italian program Galileo, G18-296 Modelli cinetici classici e quantistici e loro limiti idrodinamici: aspetti teorici e applicativi.

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Authors and Affiliations

  1. Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze, 53/A, 43124, Parma, Italy

    Marzia Bisi, Maria Groppi & Giorgio Martalò

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  1. Marzia Bisi
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  2. Maria Groppi
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  3. Giorgio Martalò
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Correspondence to Giorgio Martalò.

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Communicated by Andreas Öchsner.

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Bisi, M., Groppi, M. & Martalò, G. The evaporation–condensation problem for a binary mixture of rarefied gases. Continuum Mech. Thermodyn. 32, 1109–1126 (2020). https://doi.org/10.1007/s00161-019-00814-x

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