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Matematicheskie Zametki, 2010, Volume 87, Issue 1, Pages 137–140
DOI: https://doi.org/10.4213/mzm5254 (Mi mzm5254) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Brief Communications

On Solvability of a Spatial Periodic Problem for the Lin–Reissner–Tsien Equation of Transonic Gas Dynamics

S. N. Glazatov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (262 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm5254
Keywords: transonic gas dynamics, plane-parallel transient flow, quasilinear hyperbolic equation, Cauchy problem, boundary-value problem, linearization method, Sobolev space.
Received: 27.06.2008
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 130–134
DOI: https://doi.org/10.1134/S0001434610010177
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. N. Glazatov, “On Solvability of a Spatial Periodic Problem for the Lin–Reissner–Tsien Equation of Transonic Gas Dynamics”, Mat. Zametki, 87:1 (2010), 137–140; Math. Notes, 87:1 (2010), 130–134
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm5254
  • https://doi.org/10.4213/mzm5254
  • https://www.mathnet.ru/eng/mzm/v87/i1/p137
    • This publication is cited in the following 6 articles:
    1. Pinar Z., “Similarities and Exact Solutions of Transonic Gas Flow Model”, Mod. Phys. Lett. B, 34:32 (2020), 2050363  crossref  mathscinet  isi  scopus
    2. A. I. Kozhanov, A. Kh. Kodzokov, “Kraevye zadachi dlya odnogo klassa differentsialnykh uravnenii s kratnymi kharakteristikami”, Chelyab. fiz.-matem. zhurn., 3:4 (2018), 395–407  mathnet  crossref  elib
    3. Theaker K.A., Van Gorder R.A., “Solutions to Forced and Unforced Lin?Reissner?Tsien Equations for Transonic Gas Flows on Various Length Scales”, Commun. Theor. Phys., 67:3 (2017), 309–316  crossref  zmath  isi  scopus
    4. Bellout H., Vajravelu K., Van Gorder R.A., “Similarity Solutions For the Generalized Equation of Steady Transonic Gas Flow With a Singular Source”, Q. Appl. Math., 73:2 (2015), 379–389  crossref  mathscinet  zmath  isi  elib  scopus
    5. M. O. Korpusov, A. G. Sveshnikov, E. V. Yushkov, “Blow-up of solutions of non-linear equations of Kadomtsev–Petviashvili and Zakharov–Kuznetsov types”, Izv. Math., 78:3 (2014), 500–530  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. Haussermann J., Vajravelu K., Van Gorder R.A., “Self-Similar Solutions to Lin-Reissner-Tsien Equation”, Appl. Math. Mech.-Engl. Ed., 32:11 (2011), 1447–1456  crossref  mathscinet  zmath  isi  scopus
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