메뉴 건너뛰기




Volumn 168, Issue 2, 2000, Pages 270-294

Zero Reaction Limit for Hyperbolic Conservation Laws with Source Terms

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034634860     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3887     Document Type: Article
Times cited : (20)

References (19)
  • 1
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
    • Allen S., Cahn J. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metallurgica. 27:1979;1084-1095.
    • (1979) Acta Metallurgica , vol.27 , pp. 1084-1095
    • Allen, S.1    Cahn, J.2
  • 2
    • 0347560394 scopus 로고    scopus 로고
    • The random projection method for hyperbolic systems with stiff reaction terms
    • Bao W. Z., Jin S. The random projection method for hyperbolic systems with stiff reaction terms. J. Comp. Phys. 2000.
    • (2000) J. Comp. Phys.
    • Bao, W.Z.1    Jin, S.2
  • 3
    • 0002419561 scopus 로고
    • The Numerical Wave Speed for One-dimensional Scalar Hyperbolic Conservation Laws with Source Terms
    • Eindhover Univ. of Tech.
    • Berkenbosch A. C., Kaasschieter E. F., ten Thije Boonkamp J. H. M. The Numerical Wave Speed for One-dimensional Scalar Hyperbolic Conservation Laws with Source Terms. RANA 94-01. 1994;Eindhover Univ. of Tech.
    • (1994) RANA 94-01
    • Berkenbosch, A.C.1    Kaasschieter, E.F.2    Ten Thije Boonkamp, J.H.M.3
  • 4
    • 0001241911 scopus 로고
    • Theoretical and numerical structure for reacting shock waves
    • Colella P., Majda A., Roytburd V. Theoretical and numerical structure for reacting shock waves. SIAM J. Sci. Stat. Comp. 7:1986;1059-1080.
    • (1986) SIAM J. Sci. Stat. Comp. , vol.7 , pp. 1059-1080
    • Colella, P.1    Majda, A.2    Roytburd, V.3
  • 5
    • 0000617788 scopus 로고
    • Generalized characteristics and structure of solutions of hyperbolic conservation laws
    • Dafermos C. M. Generalized characteristics and structure of solutions of hyperbolic conservation laws. Indiana Univ. Math. J. 26:1977;1097-1119.
    • (1977) Indiana Univ. Math. J. , vol.26 , pp. 1097-1119
    • Dafermos, C.M.1
  • 6
    • 21344493416 scopus 로고
    • Large-time behavior in inhomogeneous conservation laws
    • Fan H., Hale J. K. Large-time behavior in inhomogeneous conservation laws. Arch. Rational Mech. Anal. 125:1993;201-216.
    • (1993) Arch. Rational Mech. Anal. , vol.125 , pp. 201-216
    • Fan, H.1    Hale, J.K.2
  • 7
    • 0001082769 scopus 로고
    • Attractors in inhomogeneous conservation laws and parabolic regularizations
    • Fan H., Hale J. K. Attractors in inhomogeneous conservation laws and parabolic regularizations. Trans. Amer. Math. Soc. 347:1995;1239-1254.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 1239-1254
    • Fan, H.1    Hale, J.K.2
  • 8
    • 0002299780 scopus 로고
    • Differential equations with discontinuous right hand side
    • Filippov A. F. Differential equations with discontinuous right hand side. Mat. Sb. (N.S.). 42:1960;99-128.
    • (1960) Mat. Sb. (N.S.) , vol.42 , pp. 99-128
    • Filippov, A.F.1
  • 10
    • 84956238079 scopus 로고
    • First order quasilinear equations in several independent variables
    • Kruzhkov S. N. First order quasilinear equations in several independent variables. Math. USSR-Sb. 10:1970;217-243.
    • (1970) Math. USSR-Sb. , vol.10 , pp. 217-243
    • Kruzhkov, S.N.1
  • 11
    • 0003261490 scopus 로고
    • Hyperbolic systems of conservation laws and the mathematical theory of shock waves
    • Lax P. D. Hyperbolic systems of conservation laws and the mathematical theory of shock waves. SIAM Reg. Conf. Series in Appl. Math. 1973.
    • (1973) SIAM Reg. Conf. Series in Appl. Math.
    • Lax, P.D.1
  • 12
    • 84973976230 scopus 로고
    • A Poincarè-Bendixson theorem for scalar conservation laws
    • Lyberopoulos A. N. A Poincarè-Bendixson theorem for scalar conservation laws. Proc. Roy. Soc. Edinburgh, A. 124:1994;589-607.
    • (1994) Proc. Roy. Soc. Edinburgh, A , vol.124 , pp. 589-607
    • Lyberopoulos, A.N.1
  • 13
    • 0000542076 scopus 로고
    • A study of numerical methods for hyperbolic conservation laws with stiff source terms
    • LeVeque R. J., Yee H. C. A study of numerical methods for hyperbolic conservation laws with stiff source terms. J. Comp. Phys. 86:1990;187-210.
    • (1990) J. Comp. Phys. , vol.86 , pp. 187-210
    • LeVeque, R.J.1    Yee, H.C.2
  • 14
    • 21744446812 scopus 로고    scopus 로고
    • Traveling wave solutions for a balance law
    • Mascia C. Traveling wave solutions for a balance law. Proc. Roy. Soc. Edinburgh Sect. A. 127:1997;567-593.
    • (1997) Proc. Roy. Soc. Edinburgh Sect. A , vol.127 , pp. 567-593
    • Mascia, C.1
  • 15
    • 0000166143 scopus 로고    scopus 로고
    • The perturbed Riemann problem for a balance law
    • Mascia C., Sinestrari C. The perturbed Riemann problem for a balance law. Adv. Differential Equations. 2:1997;779-810.
    • (1997) Adv. Differential Equations , vol.2 , pp. 779-810
    • Mascia, C.1    Sinestrari, C.2
  • 16
    • 0001043055 scopus 로고
    • Large time behavior of solutions of balance laws with periodic initial data
    • Sinestrari C. Large time behavior of solutions of balance laws with periodic initial data. Nonlinear Differential Appl. 2:1995;111-131.
    • (1995) Nonlinear Differential Appl. , vol.2 , pp. 111-131
    • Sinestrari, C.1
  • 17
    • 0001760778 scopus 로고    scopus 로고
    • Asymptotic profile of solutions of conservation laws with source
    • Sinestrari C. 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
  • 18
    • 0000168579 scopus 로고    scopus 로고
    • Instability of discontinuous traveling waves for hyperbolic balance law
    • Sinestrari C. Instability of discontinuous traveling waves for hyperbolic balance law. J. Differential Equations. 134:1997;269-285.
    • (1997) J. Differential Equations , vol.134 , pp. 269-285
    • Sinestrari, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.