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Volumn 33, Issue 4, 1998, Pages 585-592

Exact solutions to the equations of ideal gas-dynamics by means of the substitution principle

Author keywords

Exact solutions; Gas dynamics; Substitution principle invariance

Indexed keywords


EID: 0002938091     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7462(97)00037-1     Document Type: Article
Times cited : (15)

References (15)
  • 1
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    • On the multiplicity of steady gas flows having the same streamline pattern
    • M. Munk and R. Prim, On the multiplicity of steady gas flows having the same streamline pattern. Proc. Nat. Acad. Sci. U.S.A. 33, 137-141 (1947).
    • (1947) Proc. Nat. Acad. Sci. U.S.A. , vol.33 , pp. 137-141
    • Munk, M.1    Prim, R.2
  • 2
    • 0000792842 scopus 로고
    • Steady rotational flow of ideal gases
    • R. Prim, Steady rotational flow of ideal gases. J. Rat. Mech. Anal. 1, 425-497 (1952).
    • (1952) J. Rat. Mech. Anal. , vol.1 , pp. 425-497
    • Prim, R.1
  • 3
    • 0003015401 scopus 로고
    • An extension of the substitution principle to certain unsteady gas flows
    • P. Smith, An extension of the substitution principle to certain unsteady gas flows. Arch. Rat. Mech. Anal. 15, 147-153 (1964).
    • (1964) Arch. Rat. Mech. Anal. , vol.15 , pp. 147-153
    • Smith, P.1
  • 4
    • 0002945714 scopus 로고
    • Derivation of the substitution principle in gas dynamics by means of lie group techniques
    • Uppsala, Sweden (edited by B. Engquist and B. Gustafsson), Studentlitterature, Chartwell-Bratt
    • F. Oliveri, Derivation of the substitution principle in gas dynamics by means of Lie group techniques. Proc. Third Int. Conf. Hyperbolic Problems, Uppsala, Sweden (edited by B. Engquist and B. Gustafsson), pp 770-874. Studentlitterature, Chartwell-Bratt (1991).
    • (1991) Proc. Third Int. Conf. Hyperbolic Problems , pp. 770-874
    • Oliveri, F.1
  • 5
    • 0026923868 scopus 로고
    • On the equations of ideal gas dynamics with a separable equation of state: Lie group analysis and the substitution principle
    • F. Oliveri, On the equations of ideal gas dynamics with a separable equation of state: Lie group analysis and the Substitution Principle. Int. J. Non-linear. Mech. 27, 773-784 (1992).
    • (1992) Int. J. Non-linear. Mech. , vol.27 , pp. 773-784
    • Oliveri, F.1
  • 6
    • 0003083293 scopus 로고
    • The steady magnetodynamic flow of perfectly conducting fluids
    • P. Smith, The steady magnetodynamic flow of perfectly conducting fluids. J. Math. Mech. 1, 505-520 (1963).
    • (1963) J. Math. Mech. , vol.1 , pp. 505-520
    • Smith, P.1
  • 7
    • 0003018256 scopus 로고
    • Substitution principles in non-steady magneto-gas-dynamics
    • G. Power and C. Rogers, Substitution principles in non-steady magneto-gas-dynamics. Appl. Sci. Res. 21, 176-184 (1969).
    • (1969) Appl. Sci. Res. , vol.21 , pp. 176-184
    • Power, G.1    Rogers, C.2
  • 8
    • 0003018258 scopus 로고
    • Galilean quasilinear systems of PDE's and the substitution principle
    • Non-linear Hyperbolic Problems: Theoretical, Applied and Computational Aspects (Edited by A. Donato and F. Oliveri)
    • F. Oliveri, Galilean quasilinear systems of PDE's and the substitution principle. In Non-linear Hyperbolic Problems: Theoretical, Applied and Computational Aspects (Edited by A. Donato and F. Oliveri). Notes on Numerical Fluid Mechanics 43, 457-464 (1993).
    • (1993) Notes on Numerical Fluid Mechanics , vol.43 , pp. 457-464
    • Oliveri, F.1
  • 15
    • 0004243042 scopus 로고
    • Tracts on Natural Philosophy Springer-Verlag, New York
    • I. Müller and T. Ruggeri, Extended Thermodynamics. Tracts on Natural Philosophy 37. Springer-Verlag, New York (1993).
    • (1993) Extended Thermodynamics , vol.37
    • Müller, I.1    Ruggeri, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.