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Volumn 50, Issue 1-4, 1999, Pages 77-95

The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws: A general numerical approach

Author keywords

Discontinuous coefficients; Finite difference schemes; Linear systems; Multi dimensional conservation laws; Product of a measure by a discontinuous function

Indexed keywords


EID: 0002729148     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(99)00062-2     Document Type: Article
Times cited : (30)

References (15)
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    • A. Majda, The stability of multi-dimensional shock fronts, Memoirs of the AMS, vol. 275, American Mathematical Society, Providence, RI, 1983.
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    • Majda, A.1
  • 3
    • 0001733358 scopus 로고
    • The existence of multi-dimensional shock fronts
    • American Mathematical Society, Providence, RI
    • A. Majda, The existence of multi-dimensional shock fronts, Memoirs of the AMS, vol. 281, American Mathematical Society, Providence, RI, 1983.
    • (1983) Memoirs of the AMS , vol.281
    • Majda, A.1
  • 4
    • 0003202932 scopus 로고
    • Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
    • Springer, New York
    • A. Majda, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Applied Mathematical Science, vol. 53, Springer, New York, 1984.
    • (1984) Applied Mathematical Science , vol.53
    • Majda, A.1
  • 5
    • 0001522672 scopus 로고
    • Definition and weak stability of non-conservative products
    • G. Dal Maso, Ph. Le Floch, F. Murat, Definition and weak stability of non-conservative products, J. Math. Pures Appl. 74 (1995) 483-548.
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 483-548
    • Dal Maso, G.1    Le Floch, Ph.2    Murat, F.3
  • 6
    • 0032092187 scopus 로고    scopus 로고
    • One-dimensional transport equations with discontinuous coefficients
    • TMA
    • F. Bouchut, F. James, One-dimensional transport equations with discontinuous coefficients, Nonlinear Anal., TMA 32 (1997) 891-933.
    • (1997) Nonlinear Anal. , vol.32 , pp. 891-933
    • Bouchut, F.1    James, F.2
  • 8
    • 0003222778 scopus 로고
    • An existence and uniqueness result for two nonstrictly hyperbolic systems
    • B.L. Keyfitz, M. Shearer (Eds.), Nonlinear Evolution Equations that Change Type, Springer, New York
    • Ph. Le Floch, An existence and uniqueness result for two nonstrictly hyperbolic systems, in: B.L. Keyfitz, M. Shearer (Eds.), Nonlinear Evolution Equations that Change Type, IMA Volumes in Mathematics and its Applications, vol. 27, Springer, New York, 1991, pp. 126-138.
    • (1991) IMA Volumes in Mathematics and its Applications , vol.27 , pp. 126-138
    • Le Floch, Ph.1
  • 9
    • 22044436683 scopus 로고    scopus 로고
    • Kruzkov's estimates for scalar conservation laws revisited
    • F. Bouchut, B. Perthame, Kruzkov's estimates for scalar conservation laws revisited, Trans. Amer. Math. Soc. 350 (1998) no. 7, 2847-2870.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , Issue.7 , pp. 2847-2870
    • Bouchut, F.1    Perthame, B.2
  • 11
    • 0013002019 scopus 로고    scopus 로고
    • Differentiability with respect to initial data for a scalar conservation law
    • ETH Zürich, 1998, International series num. Math. Birkhäuser
    • F. Bouchut, F. James, Differentiability with respect to initial data for a scalar conservation law, in: Proceedings of the Seventh International Conference on Hyperbolic Problems, ETH Zürich, 1998, International series num. Math. 129, Birkhäuser (1999) 113-118.
    • (1999) Proceedings of the Seventh International Conference on Hyperbolic Problems , vol.129 , pp. 113-118
    • Bouchut, F.1    James, F.2
  • 12
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    • Numerical approximation of Hyperbolic Systems of Conservation Laws
    • Springer, New York
    • E. Godlewski, P.-A. Raviart, Numerical approximation of Hyperbolic Systems of Conservation Laws, Applied Mathematical Science, vol. 118, Springer, New York, 1996.
    • (1996) Applied Mathematical Science , vol.118
    • Godlewski, E.1    Raviart, P.-A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.