메뉴 건너뛰기




Volumn 18, Issue 2, 1999, Pages 197-211

Stability of fast parallel MHD shock waves in polytropic gas

Author keywords

[No Author keywords available]

Indexed keywords

GAS DYNAMICS; ONE DIMENSIONAL; PERTURBATION TECHNIQUES; SHOCK WAVES;

EID: 0033101183     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7546(99)80022-3     Document Type: Article
Times cited : (14)

References (28)
  • 1
    • 0009457763 scopus 로고
    • On the stability of shock waves in magnetohydrodynamics
    • Akhiezer A. I., Liubarskii G. Ya., Polovin R. V., 1958, On the stability of shock waves in magnetohydrodynamics, Zh. Eksperim. i Teor. Fiz., 35, 731-737 [English transl.: Soviet Phys. - JETP, 8, 507, 1959].
    • (1958) Zh. Eksperim. i Teor. Fiz. , vol.35 , pp. 731-737
    • Akhiezer, A.I.1    Liubarskii, G.Ya.2    Polovin, R.V.3
  • 2
    • 0007417377 scopus 로고
    • English transl.
    • Akhiezer A. I., Liubarskii G. Ya., Polovin R. V., 1958, On the stability of shock waves in magnetohydrodynamics, Zh. Eksperim. i Teor. Fiz., 35, 731-737 [English transl.: Soviet Phys. - JETP, 8, 507, 1959].
    • (1959) Soviet Phys. - JETP , vol.8 , pp. 507
  • 3
    • 0002250603 scopus 로고
    • Estimation of the energy integral of a mixed problem for gas dynamic equations with boundary conditions on a shock wave
    • Blokhin A. M., 1981, Estimation of the energy integral of a mixed problem for gas dynamic equations with boundary conditions on a shock wave, Sibirsk. Mat. Zh., 22, No. 4, 23-51 [English transl.: Siberian Math. J., 22, 501-523, 1981].
    • (1981) Sibirsk. Mat. Zh. , vol.22 , Issue.4 , pp. 23-51
    • Blokhin, A.M.1
  • 4
    • 34250232287 scopus 로고
    • English transl.
    • Blokhin A. M., 1981, Estimation of the energy integral of a mixed problem for gas dynamic equations with boundary conditions on a shock wave, Sibirsk. Mat. Zh., 22, No. 4, 23-51 [English transl.: Siberian Math. J., 22, 501-523, 1981].
    • (1981) Siberian Math. J. , vol.22 , pp. 501-523
  • 5
    • 0002626044 scopus 로고
    • Uniqueness of the classical solution of a mixed problem for gas dynamic equations with boundary conditions on a shock wave
    • Blokhin A. M, 1982, Uniqueness of the classical solution of a mixed problem for gas dynamic equations with boundary conditions on a shock wave, Sibirsk. Mat. Zh., 23, No. 5, 17-30 [English transl.: Siberian Math. J., 23, 604-615, 1982].
    • (1982) Sibirsk. Mat. Zh. , vol.23 , Issue.5 , pp. 17-30
    • Blokhin, A.M.1
  • 6
    • 34250151455 scopus 로고
    • English transl.
    • Blokhin A. M, 1982, Uniqueness of the classical solution of a mixed problem for gas dynamic equations with boundary conditions on a shock wave, Sibirsk. Mat. Zh., 23, No. 5, 17-30 [English transl.: Siberian Math. J., 23, 604-615, 1982].
    • (1982) Siberian Math. J. , vol.23 , pp. 604-615
  • 10
    • 0009345507 scopus 로고
    • On the stability of shock waves in magnetohydrodynamics
    • Blokhin A. M., Druzhinin I. Yu., 1989b, On the stability of shock waves in magnetohydrodynamics, Sibirsk. Mat. Zh., 30, No. 4, 13-29 [English transl.: Siberian Math. J., 30, 1989].
    • (1989) Sibirsk. Mat. Zh. , vol.30 , Issue.4 , pp. 13-29
    • Blokhin, A.M.1    Druzhinin, I.Yu.2
  • 11
    • 0009349498 scopus 로고
    • English transl.
    • Blokhin A. M., Druzhinin I. Yu., 1989b, On the stability of shock waves in magnetohydrodynamics, Sibirsk. Mat. Zh., 30, No. 4, 13-29 [English transl.: Siberian Math. J., 30, 1989].
    • (1989) Siberian Math. J. , vol.30
  • 12
    • 0001264654 scopus 로고
    • Investigation of the well-posedness of the mixed problem on the stability of a fast shock wave in magnetohydrodynamics
    • Blokhin A. M., Trakhinin Yu. L., 1994, Investigation of the well-posedness of the mixed problem on the stability of a fast shock wave in magnetohydrodynamics, Le Mathematiche, 49, 123-141.
    • (1994) Le Mathematiche , vol.49 , pp. 123-141
    • Blokhin, A.M.1    Trakhinin, Yu.L.2
  • 13
    • 0000950670 scopus 로고
    • On stability of shock waves
    • D'Yakov S. P., 1954, On stability of shock waves, Zh. Eksperim. i Teor. Fiz., 27, 288-296 [English transl.: Atomic Energy Research Establishment AERE Lib./Trans., 648, 1956].
    • (1954) Zh. Eksperim. i Teor. Fiz. , vol.27 , pp. 288-296
    • D'Yakov, S.P.1
  • 14
    • 0009410028 scopus 로고
    • English transl.
    • D'Yakov S. P., 1954, On stability of shock waves, Zh. Eksperim. i Teor. Fiz., 27, 288-296 [English transl.: Atomic Energy Research Establishment AERE Lib./Trans., 648, 1956].
    • (1956) Atomic Energy Research Establishment AERE Lib./Trans. , vol.648
  • 15
    • 0001507522 scopus 로고
    • Stability of step shocks
    • Erpenbeck J. J., 1962, Stability of step shocks, Phys. Fluids, 5, 1181-1187.
    • (1962) Phys. Fluids , vol.5 , pp. 1181-1187
    • Erpenbeck, J.J.1
  • 17
    • 0000597964 scopus 로고
    • Symmetric hyperbolic linear differential equations
    • Friedrichs K. O., 1974, Symmetric hyperbolic linear differential equations, Commun. Pure and Appl. Mathem., 31, 123-131.
    • (1974) Commun. Pure and Appl. Mathem. , vol.31 , pp. 123-131
    • Friedrichs, K.O.1
  • 18
    • 0001604212 scopus 로고
    • Stability of plane magnetohydrodynamic shocks
    • Gardner C. S., Kruskal M. D., 1964, Stability of plane magnetohydrodynamic shocks. Phys. Fluids, 7, 700-706.
    • (1964) Phys. Fluids , vol.7 , pp. 700-706
    • Gardner, C.S.1    Kruskal, M.D.2
  • 19
    • 0001849199 scopus 로고
    • Symmetrization of magnetohydrodynamics equations
    • in Russian
    • Godunov S. K., 1972, Symmetrization ofmagnetohydrodynamics equations [in Russian], Chislennye Metody Mekhaniki Sploshnoi Sredy, 3, 26-34.
    • (1972) Chislennye Metody Mekhaniki Sploshnoi Sredy , vol.3 , pp. 26-34
    • Godunov, S.K.1
  • 20
    • 36149025079 scopus 로고
    • Magnetohydrodynamic shocks
    • Hoffman F., Teller E., 1950, Magnetohydrodynamic shocks, Phys. Rev., 80, No. 4, 696-703.
    • (1950) Phys. Rev. , vol.80 , Issue.4 , pp. 696-703
    • Hoffman, F.1    Teller, E.2
  • 22
    • 84980172444 scopus 로고
    • Initial boundary value problems for hyperbolic systems
    • Kreiss H.-O., 1970, Initial boundary value problems for hyperbolic systems, Commun. Pure and Appl. Math., 23, 277-296.
    • (1970) Commun. Pure and Appl. Math. , vol.23 , pp. 277-296
    • Kreiss, H.-O.1
  • 25
    • 84971157150 scopus 로고
    • Stability of magnetohydrodynamic shocks waves
    • Lessen M., Deshpande M. V., 1967, Stability of magnetohydrodynamic shocks waves, J. Plasma Physics, 1, No. 4, 463-472.
    • (1967) J. Plasma Physics , vol.1 , Issue.4 , pp. 463-472
    • Lessen, M.1    Deshpande, M.V.2
  • 26
    • 0001733359 scopus 로고
    • The stability of multi-dimensional shock fronts - A new problem for linear hyperbolic equations
    • Providence
    • Majda A., 1983a, The stability of multi-dimensional shock fronts - A new problem for linear hyperbolic equations, Mem. Amer. Math. Soc., vol. 41, No. 275, Providence.
    • (1983) Mem. Amer. Math. Soc. , vol.41 , Issue.275
    • Majda, A.1
  • 27
    • 0001733359 scopus 로고
    • The existence of multi-dimensional shock fronts
    • Providence
    • Majda A., 1983b, The existence of multi-dimensional shock fronts, Mem. Amer. Math. Soc., vol. 43, No. 281, Providence.
    • (1983) Mem. Amer. Math. Soc. , vol.43 , Issue.281
    • Majda, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.