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An abstract approach to evaporation models in rarefied gas dynamics

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Abstract

An efficient algorithm is presented for determining the unique solvability of certain one-dimensional stationary transport problems. The non-existence of stationary evaporation states with supersonic drift velocities for one and three dimensional BGK model is recovered.

Sommario

È presentato un algoritmo efficiente per determinare la solubilità univoca di alcuni probiemi unidimensionali di trasporto stazionario. È ripresa la non esistenza di stati stazionari di evaporazione con velocità di deriva supersoniche per modelli BGK a una e tre dimensioni.

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Author notes

  1. William Greenberg

    Present address: Dept. of Mathematics, Virginia Polytechnic Institute & State University, 24061, Blacksburg, Virginia, USA

Authors and Affiliations

  1. Istituto Matematico “U. Dini”, Universitá degli Studi di Firenze, I-50134, Firenze, Italy

    William Greenberg

  2. Dept. of Physics and Astronomy, Vrije Universiteit, 1081, HV Amsterdam, The Netherlands

    C. V. M. van der Mee

Authors
  1. William Greenberg
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  2. C. V. M. van der Mee
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Greenberg, W., van der Mee, C.V.M. An abstract approach to evaporation models in rarefied gas dynamics. Z. angew. Math. Phys. 35, 156–165 (1984). https://doi.org/10.1007/BF00947929

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  • DOI: https://doi.org/10.1007/BF00947929

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