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Volumn 127, Issue 3, 1997, Pages 567-593

Travelling wave solutions for a balance law

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EID: 21744446812     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500029917     Document Type: Article
Times cited : (18)

References (17)
  • 1
    • 0002488752 scopus 로고
    • Nonlinear diffusion in population genetics, combustion and nerve pulse propagation
    • Partial Differential Equations and Related Topics, Berlin: Springer
    • D. G. Aronson and H. F. Weinberger. Nonlinear diffusion in population genetics, combustion and nerve pulse propagation. In Partial Differential Equations and Related Topics, Lecture Notes in Mathematics 446, 5-49 (Berlin: Springer, 1975).
    • (1975) Lecture Notes in Mathematics 446 , pp. 5-49
    • Aronson, D.G.1    Weinberger, H.F.2
  • 2
    • 0040564034 scopus 로고
    • Characteristics in hyperbolic conservation laws
    • Nonlinear Analysis and Mechanics, Vol. 1, ed. R. J. Knops, London: Pitman
    • C. M. Dafermos. Characteristics in hyperbolic conservation laws. In Nonlinear Analysis and Mechanics, Vol. 1, ed. R. J. Knops, Research Notes in Mathematics 17, 1-58 (London: Pitman, 1977).
    • (1977) Research Notes in Mathematics , vol.17 , pp. 1-58
    • Dafermos, C.M.1
  • 3
    • 0000617788 scopus 로고
    • Generalised characteristics and the structure of solutions of hyperbolic conservation laws
    • C. M. Dafermos. Generalised characteristics and the structure of solutions of hyperbolic conservation laws. Indiana Univ. Math. J. 26 (1977), 1097-119.
    • (1977) Indiana Univ. Math. J. , vol.26 , pp. 1097-1119
    • Dafermos, C.M.1
  • 4
    • 0039618457 scopus 로고
    • Large time behavior of solutions of hyperbolic balance laws
    • C. M. Dafermos. Large time behavior of solutions of hyperbolic balance laws. Bull. Greek Math. Soc. 25 (1984), 15-29.
    • (1984) Bull. Greek Math. Soc. , vol.25 , pp. 15-29
    • Dafermos, C.M.1
  • 5
    • 21344493416 scopus 로고
    • Large-time behavior in inhomogeneous conservation laws
    • H. Fan and J. K. Hale. Large-time behavior in inhomogeneous conservation laws. Arch. Rational Mech. Anal. 125 (1993), 201-16.
    • (1993) Arch. Rational Mech. Anal. , vol.125 , pp. 201-216
    • Fan, H.1    Hale, J.K.2
  • 6
    • 0003521963 scopus 로고
    • Mathematical Aspects in Reacting and Diffusing Systems
    • Berlin: Springer
    • P. C. Fife. Mathematical Aspects in Reacting and Diffusing Systems, Lecture Notes in Biomathematics 28 (Berlin: Springer, 1979).
    • (1979) Lecture Notes in Biomathematics 28
    • Fife, P.C.1
  • 7
    • 0040633946 scopus 로고
    • First order quasilinear equations in several independent variables
    • in Russian
    • S. N. Kružkov. First order quasilinear equations in several independent variables. Math. Sb. 51 (1960), 99-128 (in Russian);
    • (1960) Math. Sb. , vol.51 , pp. 99-128
    • Kružkov, S.N.1
  • 8
    • 0002299782 scopus 로고
    • English translation
    • English translation: Amer. Math. Soc. Transl. (2) 42 (1963), 199-231.
    • (1963) Amer. Math. Soc. Transl. (2) , vol.42 , pp. 199-231
  • 9
    • 0041040569 scopus 로고
    • Asymptotic behaviour of the solutions of the Cauchy problem for nonlinear first order equations
    • in Russian
    • S. N. Kružkov and N. S. Petrosjan. Asymptotic behaviour of the solutions of the Cauchy problem for nonlinear first order equations. Uspekhi Mat. Nauk 42 (1987), 3-40 (in Russian);
    • (1987) Uspekhi Mat. Nauk , vol.42 , pp. 3-40
    • Kružkov, S.N.1    Petrosjan, N.S.2
  • 10
    • 33747002995 scopus 로고
    • English translation
    • English translation: Russian Math. Surveys 42 (1987), 1-47.
    • (1987) Russian Math. Surveys , vol.42 , pp. 1-47
  • 11
    • 84980077727 scopus 로고
    • Hyperbolic systems of conservation laws II
    • P. D. Lax. Hyperbolic systems of conservation laws II. Comm. Pure Appl. Math. 10 (1957), 537-66.
    • (1957) Comm. Pure Appl. Math. , vol.10 , pp. 537-566
    • Lax, P.D.1
  • 12
    • 84966254903 scopus 로고
    • Invariants and asymptotic behavior of solutions of a conservation law
    • T. P. Liu. Invariants and asymptotic behavior of solutions of a conservation law. Proc. Amer. Math. Soc. 71 (1978), 227-31.
    • (1978) Proc. Amer. Math. Soc. , vol.71 , pp. 227-231
    • Liu, T.P.1
  • 13
    • 84973976230 scopus 로고
    • A Poincaré-Bendixson theorem for scalar balance laws
    • A. N. Lyberopoulos. A Poincaré-Bendixson theorem for scalar balance laws. Proc. Roy. Soc. Edinburgh Sect. A 124 (1994), 589-607.
    • (1994) Proc. Roy. Soc. Edinburgh Sect. A , vol.124 , pp. 589-607
    • Lyberopoulos, A.N.1
  • 14
    • 38249009638 scopus 로고
    • On a class of perturbed conservation laws
    • R. Natalini and A. Tesei. On a class of perturbed conservation laws. Adv. Appl. Math. 13 (1992), 429-53.
    • (1992) Adv. Appl. Math. , vol.13 , pp. 429-453
    • Natalini, R.1    Tesei, A.2
  • 15
    • 0001043055 scopus 로고
    • Large time behaviour of solutions of balance laws with periodic initial data
    • C. Sinestrari. Large time behaviour of solutions of balance laws with periodic initial data. NoDEA Nonlinear Differential Equations Appl. 2 (1995), 111-31.
    • (1995) NoDEA Nonlinear Differential Equations Appl. , vol.2 , pp. 111-131
    • Sinestrari, C.1
  • 16
    • 0001760778 scopus 로고    scopus 로고
    • Asymptotic profile of solutions of conservation laws with source
    • C. Sinestrari. Asymptotic profile of solutions of conservation laws with source. Differential Integral Equations 9 (1996), 499-525.
    • (1996) Differential Integral Equations , vol.9 , pp. 499-525
    • Sinestrari, C.1
  • 17
    • 38249028392 scopus 로고
    • Asymptotic stability of rarefaction waves for 2*2 viscous hyperbolic conservation laws
    • Z. Xin. Asymptotic stability of rarefaction waves for 2*2 viscous hyperbolic conservation laws. J. Differential Equations 73 (1988), 45-77.
    • (1988) J. Differential Equations , vol.73 , pp. 45-77
    • Xin, Z.1


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