Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes

Tao Luo; Yan-Lin Wang

doi:10.1016/j.jde.2019.09.031

Author(s)

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	1750-1770
Journal / Publication	Journal of Differential Equations
Volume	268
Issue number	4
Online published	17 Sep 2019
Publication status	Published - 5 Feb 2020

Link(s)

DOI	DOI https://doi.org/10.1016/j.jde.2019.09.031 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85072198114&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(ff48ad87-6c7e-41c2-a95e-ee5357f43195).html

Abstract

We study in this paper the uniform regularity and relaxation limit for the outer pressure problem of one dimensional gas dynamics with several thermal nonequilibrium modes. The uniform regularity is established for the initial data satisfying the compatible conditions on the boundary. The relaxation limit to equilibrium flow or frozen flow is also investigated by a compactness argument.

Research Area(s)

Outer pressure problem, Relaxation limit, Thermal nonequilibrium, Uniform regularity

Citation Format(s)

[ RIS ] [ BibTeX ]

Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes. / Luo, Tao ; Wang, Yan-Lin.

In: Journal of Differential Equations, Vol. 268, No. 4, 05.02.2020, p. 1750-1770.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Luo, T & Wang, Y-L 2020, 'Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes', Journal of Differential Equations, vol. 268, no. 4, pp. 1750-1770. https://doi.org/10.1016/j.jde.2019.09.031

Luo, T., & Wang, Y-L. (2020). Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes. Journal of Differential Equations, 268(4), 1750-1770. https://doi.org/10.1016/j.jde.2019.09.031

Luo T , Wang Y-L. Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes. Journal of Differential Equations. 2020 Feb 5;268(4):1750-1770. Epub 2019 Sep 17. doi: 10.1016/j.jde.2019.09.031

Luo, Tao ; Wang, Yan-Lin. / Uniform regularity and relaxation limit for the outer pressure problem of gas dynamics with several thermal nonequilibrium modes. In: Journal of Differential Equations. 2020 ; Vol. 268, No. 4. pp. 1750-1770.