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Matematicheskie Zametki, 2006, Volume 79, Issue 4, Pages 601–606
DOI: https://doi.org/10.4213/mzm2730 (Mi mzm2730) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Goursat problem of the continuous conjugation of radial rectilinear motions of a gas

S. V. Khabirov

Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
Full-text PDF (137 kB) Citations (4)
References:
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DOI: https://doi.org/10.4213/mzm2730
Abstract: Gas dynamics equations have an isentropic solution describing the radial rectilinear motion of particles to the center and from the center with constant velocities. Two such solutions can be continuously conjugated if the Goursat problem is solved in a spatially similar domain with matched data on the characteristics. We prove the existence and uniqueness of a smooth solution of the Goursat problem in a small ball for a polytropic gas with exponent 5/3.
Received: 30.01.2004
Revised: 07.07.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 4, Pages 555–560
DOI: https://doi.org/10.1007/s11006-006-0062-2
Bibliographic databases:
UDC: 517.944+533
Language: Russian
Citation: S. V. Khabirov, “Goursat problem of the continuous conjugation of radial rectilinear motions of a gas”, Mat. Zametki, 79:4 (2006), 601–606; Math. Notes, 79:4 (2006), 555–560
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm2730
  • https://doi.org/10.4213/mzm2730
  • https://www.mathnet.ru/eng/mzm/v79/i4/p601
    • This publication is cited in the following 4 articles:
    1. S. V. Khabirov, “Dvizhenie chastits gaza, postroennoe po gruppe Galileya”, Tr. IMM UrO RAN, 27, no. 1, 2021, 173–187  mathnet  crossref  elib
    2. S. V. Khabirov, “Invariantnye dvizheniya chastits obschei trekhmernoi podgruppy gruppy vsekh prostranstvennykh perenosov”, Chelyab. fiz.-matem. zhurn., 5:4(1) (2020), 400–414  mathnet  crossref
    3. A. V. Panov, “Exact solutions to the equations of the dynamics of a two-phase medium. Collapse of a gas and particles in space”, J. Appl. Industr. Math., 11:2 (2017), 263–273  mathnet  crossref  crossref  elib
    4. A. R. Garifullin, S. V. Khabirov, “Continuous conjugation of special nonisentropic one-dimensional gas motions”, Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S77–S86  mathnet  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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