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Volumn 52, Issue 4, 2001, Pages 597-619

Nonclassical Riemann solvers and kinetic relations I. A nonconvex hyperbolic model of phase transitions

Author keywords

Conservation law; Elastodynamics; Entropy inequality; Kinetic relation; Nonclassical shock; Phase boundary

Indexed keywords


EID: 0035537080     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001563     Document Type: Article
Times cited : (24)

References (12)
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  • 2
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  • 3
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    • Hayes, B.T.1    LeFloch, P.G.2
  • 4
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    • (1995) J. Differential Equations , vol.116 , pp. 448-467
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  • 5
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    • Propagating phase boundaries: Formulation of the problem and existence via the Glimm scheme
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  • 6
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    • An introduction to nonclassical shocks of systems of conservation laws
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    • P.G. LeFloch An introduction to nonclassical shocks of systems of conservation laws, Proceedings of the "International School on Theory and Numerics for Conservation Laws", Freiburg/Littenweiler (Germany), 20-24 October 1997, ed. D. Kröner, M. Ohlberger and C. Rohde, Lecture Notes in Computational Science and Engineering, (1998), pp. 28-72.
    • (1998) Proceedings of the "International School on Theory and Numerics for Conservation Laws", Freiburg/Littenweiler (Germany) , pp. 28-72
    • LeFloch, P.G.1
  • 7
    • 0003906591 scopus 로고    scopus 로고
    • Hyperbolic systems of conservation laws: The theory of classical and non-classical shock waves
    • in preparation
    • P.G. LeFloch, Hyperbolic Systems of Conservation Laws: The theory of classical and non-classical shock waves, Lecture Notes, in preparation.
    • Lecture Notes
    • LeFloch, P.G.1
  • 8
    • 0007285187 scopus 로고    scopus 로고
    • Nonclassical Riemann solvers and kinetic relations: An hyperbolic-elliptic model of phase transition dynamics
    • to appear
    • P.G. LeFloch and M.D. Thanh, Nonclassical Riemann solvers and kinetic relations: An hyperbolic-elliptic model of phase transition dynamics, Roy Soc. Edinburgh Proc., to appear.
    • Roy Soc. Edinburgh Proc.
    • LeFloch, P.G.1    Thanh, M.D.2
  • 9
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  • 10
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    • Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity
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  • 11
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    • Dynamics of non-equilibrium phase boundaries in a heat conducting non-linear elastic medium
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  • 12
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    • Truskinovsky, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.