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Volumn 52, Issue 6, 2001, Pages 924-949

Waves and nonclassical shocks in a scalar conservation law with nonconvex flux

Author keywords

Conservation law; Nonclassical shock; Nonconvex; Undercompressive shock

Indexed keywords


EID: 0035541509     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001588     Document Type: Article
Times cited : (6)

References (13)
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  • 2
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    • Cramer, M.S.1    Kluwick, A.2
  • 3
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    • Dynamic stability and vanishing viscosity: A case study of a non strictly hyperbolic system of conservation laws
    • Freistühler, H., Dynamic stability and vanishing viscosity: A case study of a non strictly hyperbolic system of conservation laws, Comm. Pure Appl. Math. 45 (1999), 561-582.
    • (1999) Comm. Pure Appl. Math. , vol.45 , pp. 561-582
    • Freistühler, H.1
  • 4
    • 22644450850 scopus 로고    scopus 로고
    • Undercompressive shocks and riemann problems for scalar conservation laws with non-convex fluxes
    • Hayes, B. T., and Shearer, M., Undercompressive shocks and Riemann problems for scalar conservation laws with non-convex fluxes. Proc. Roy. Soc. Edinburgh Sect. A 129 (4) (1999), 733-754.
    • (1999) Proc. Roy. Soc. Edinburgh Sect. A , vol.129 , Issue.4 , pp. 733-754
    • Hayes, B.T.1    Shearer, M.2
  • 5
    • 0031508127 scopus 로고    scopus 로고
    • Non-classical shocks and kinetic relations: Scalar conservation laws
    • Hayes, B. T., LeFloch, P. G., Non-Classical Shocks and Kinetic Relations: Scalar Conservation Laws. Arch. Rat. Mech. Anal. 139 (1997) 1-56.
    • (1997) Arch. Rat. Mech. Anal. , vol.139 , pp. 1-56
    • Hayes, B.T.1    LeFloch, P.G.2
  • 6
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    • Jacobs, D., McKinney B., and Shearer, M., Travelling Wave Solutions of the Modified Korteweg-deVries-Burgers Equation. J. Diff. Eqns. 116 (1995), 448-467.
    • (1995) J. Diff. Eqns. , vol.116 , pp. 448-467
    • Jacobs, D.1    McKinney, B.2    Shearer, M.3
  • 8
    • 0034482301 scopus 로고    scopus 로고
    • Non-classical kinematic shocks in suspensions of particles in fluids
    • Kluwick, A., Cox, E. A. and Scheichl, St., Non-classical kinematic shocks in suspensions of particles in fluids. Acta Mechanica 144 (2000), 197-210.
    • (2000) Acta Mechanica , vol.144 , pp. 197-210
    • Kluwick, A.1    Cox, E.A.2    Scheichl, St.3
  • 9
    • 25544437112 scopus 로고
    • Ausbreitung periodischer wellen in gasen mit grossen spezifischen wärmen
    • Kluwick, A. and Koller, F., Ausbreitung periodischer Wellen in Gasen mit grossen spezifischen Wärmen. ZAMM 68 (1988), T306-T307.
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  • 10
    • 0001819709 scopus 로고    scopus 로고
    • An introduction to nonclassical shocks of systems of conservation laws
    • An introduction to recent developments in theory and numerics for conservation laws Freiburg/Littenweiler, Springer, Berlin
    • LeFloch, P. G., An introduction to nonclassical shocks of systems of conservation laws. In An introduction to recent developments in theory and numerics for conservation laws (Freiburg/Littenweiler, 1997), Lect. Notes Comput. Sci. Eng., 5, Springer, Berlin, 28-72.
    • (1997) Lect. Notes Comput. Sci. Eng. , vol.5 , pp. 28-72
    • LeFloch, P.G.1
  • 11
    • 0007269572 scopus 로고
    • Nonlinear wave motion governed by the modified Burgers equation
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    • (1987) Phil Trans. R. Soc. Lond. A , vol.323 , pp. 173-209
    • Lee-Bapty, I.P.1    Crighton, D.G.2
  • 12
    • 0000088105 scopus 로고
    • Uniqueness and stability of the generalised solution of the Cauchy problem for a quasi-linear equation
    • Oleinik, O., Uniqueness and stability of the generalised solution of the Cauchy problem for a quasi-linear equation. Usp. Math. Nauk. 14 (1959), 165-170, Am. Math. Soc. Transl. Ser. 2, 33 (1964), 285-290.
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  • 13
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    • Oleinik, O., Uniqueness and stability of the generalised solution of the Cauchy problem for a quasi-linear equation. Usp. Math. Nauk. 14 (1959), 165-170, Am. Math. Soc. Transl. Ser. 2, 33 (1964), 285-290.
    • (1964) Am. Math. Soc. Transl. Ser. 2 , vol.33 , pp. 285-290


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.