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Volumn 47, Issue 3, 1996, Pages 400-409

Convergence of the relaxation approximation to a scalar nonlinear hyperbolic equation arising in chromatography

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EID: 0030532712     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00916646     Document Type: Article
Times cited : (18)

References (15)
  • 1
    • 0039085683 scopus 로고
    • Chemical instabilities and shocks in a non-linear confection problem issued from geology
    • G. Nicolis and F. Baras, editors, D. Reidel, Dordrecht
    • B. Guy, M. Cournil, F. Conrad and F. Kalaydjian, Chemical instabilities and shocks in a non-linear confection problem issued from geology. In G. Nicolis and F. Baras, editors, Chemical Instabilities. D. Reidel, Dordrecht 1984.
    • (1984) Chemical Instabilities
    • Guy, B.1    Cournil, M.2    Conrad, F.3    Kalaydjian, F.4
  • 3
    • 84990689276 scopus 로고
    • Hyperbolic conservation laws with stiff relaxation terms and entropy
    • G. Q. Chen, C. D. Levermore and T. P. Liu, Hyperbolic conservation laws with stiff relaxation terms and entropy. Comm. Pure Appl. Maths, 47, no. 1, 787-830 (1994).
    • (1994) Comm. Pure Appl. Maths , vol.47 , Issue.1 , pp. 787-830
    • Chen, G.Q.1    Levermore, C.D.2    Liu, T.P.3
  • 4
    • 84990617891 scopus 로고
    • Zero relaxation and dissipation limits for hyperbolic conservation laws
    • G. Q. Chen and T. P. Liu, Zero relaxation and dissipation limits for hyperbolic conservation laws. Comm. Pure Appl. Math., 45, 755-781 (1993).
    • (1993) Comm. Pure Appl. Math. , vol.45 , pp. 755-781
    • Chen, G.Q.1    Liu, T.P.2
  • 6
    • 0030147101 scopus 로고    scopus 로고
    • A contex entropy for a hyperbolic system with relaxation
    • to appear
    • S. Jin, A contex entropy for a hyperbolic system with relaxation. J. Diff. Eq., to appear (1996).
    • (1996) J. Diff. Eq.
    • Jin, S.1
  • 7
    • 0000805398 scopus 로고
    • Positively invariant regions for systems of nonlinear diffusion equations
    • K. N. Chueh, C. C. Conley and J. Smoller, Positively invariant regions for systems of nonlinear diffusion equations. Indiana Univ. Math. J., 26, 372-411 (1977).
    • (1977) Indiana Univ. Math. J. , vol.26 , pp. 372-411
    • Chueh, K.N.1    Conley, C.C.2    Smoller, J.3
  • 9
    • 0001764754 scopus 로고
    • l,q est compacte pour tout q < 2
    • l,q est compacte pour tout q < 2. J. Math. Pures Appl., 60, 309-322 (1981).
    • (1981) J. Math. Pures Appl. , vol.60 , pp. 309-322
    • Murat, F.1
  • 10
    • 0020499710 scopus 로고
    • Convergence of approximate solutions to conservation laws
    • R. Di Perna, Convergence of approximate solutions to conservation laws. Arch. Rat. Mech. Anal., 82, 27-70 (1983).
    • (1983) Arch. Rat. Mech. Anal. , vol.82 , pp. 27-70
    • Di Perna, R.1
  • 11
    • 0000535649 scopus 로고
    • La compacité par compensation pour les systèmes hyperboliques non linéaires de deux équations à une dimension d'espace
    • D. Serre, La compacité par compensation pour les systèmes hyperboliques non linéaires de deux équations à une dimension d'espace. J. Math. Pures Appl., 65, 423-468 (1986).
    • (1986) J. Math. Pures Appl. , vol.65 , pp. 423-468
    • Serre, D.1
  • 12
    • 0001862602 scopus 로고
    • Runge kutta methods for hyperbolic conservation laws with stiff relaxation terms
    • S. Jin, Runge Kutta methods for hyperbolic conservation laws with stiff relaxation terms. J. Comp. Phys., 122, 51-67 (1995).
    • (1995) J. Comp. Phys. , vol.122 , pp. 51-67
    • Jin, S.1
  • 13
    • 0030194392 scopus 로고    scopus 로고
    • Numerical schemes for hyperbolic systems with stiff relaxation terms
    • to appear
    • S. Jin and C. D. Levermore, Numerical schemes for hyperbolic systems with stiff relaxation terms. J. Comp. Phys., to appear (1996).
    • (1996) J. Comp. Phys.
    • Jin, S.1    Levermore, C.D.2
  • 14
    • 84990701264 scopus 로고
    • The relaxation schemes for systems of conservation laws in arbitrary space dimensions
    • S. Jin and Z. Xin, The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Comm. Pure Appl Maths, 48, no. 3, 235-276 (1995).
    • (1995) Comm. Pure Appl Maths , vol.48 , Issue.3 , pp. 235-276
    • Jin, S.1    Xin, Z.2
  • 15
    • 21544449601 scopus 로고
    • Hyperbolic conservation laws with relaxation
    • T. P. Liu, Hyperbolic conservation laws with relaxation. Comm. Math. Phys., 108, 153-175 (1987).
    • (1987) Comm. Math. Phys. , vol.108 , pp. 153-175
    • Liu, T.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.