메뉴 건너뛰기




Volumn 128, Issue 4, 1998, Pages 775-795

BV solutions and relaxation limit for a model in viscoelasticity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001016446     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500021776     Document Type: Article
Times cited : (14)

References (23)
  • 1
    • 85065353078 scopus 로고    scopus 로고
    • Convergence of relaxation schemes for conservation laws
    • D. Aregba-Driollet and R. Natalini. Convergence of relaxation schemes for conservation laws. Appl. Anal. 61 (1996), 163-93.
    • (1996) Appl. Anal. , vol.61 , pp. 163-193
    • Aregba-Driollet, D.1    Natalini, R.2
  • 2
    • 0003238833 scopus 로고
    • The Riemann Problem and Interaction of Waves in Gas Dynamics
    • Harlow: Longman Scientific and Technical
    • T. Chang and L. Hsiao. The Riemann Problem and Interaction of Waves in Gas Dynamics, Pitman Monographs and Surveys in Pure and Applied Mathematics 41 (Harlow: Longman Scientific and Technical, 1989).
    • (1989) Pitman Monographs and Surveys in Pure and Applied Mathematics , vol.41
    • Chang, T.1    Hsiao, L.2
  • 3
    • 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. 46 (1993), 755-81.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 755-781
    • Chen, G.-Q.1    Liu, T.P.2
  • 4
    • 84990689276 scopus 로고
    • Hyperbolic conservation laws with stiff relaxation terms and entropy
    • G.-C. Chen, C. Levermore and T. P. Liu. Hyperbolic conservation laws with stiff relaxation terms and entropy. Comm. Pure Appl. Math. 47 (1994), 787-830.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 787-830
    • Chen, G.-C.1    Levermore, C.2    Liu, T.P.3
  • 5
    • 0031516352 scopus 로고    scopus 로고
    • Viscosity solutions and uniqueness for systems of inhomogeneous balance laws
    • G. Crasta and B. Piccoli. Viscosity solutions and uniqueness for systems of inhomogeneous balance laws. Discrete Contin. Dynam. Systems 3 (1997), 477-502.
    • (1997) Discrete Contin. Dynam. Systems , vol.3 , pp. 477-502
    • Crasta, G.1    Piccoli, B.2
  • 6
    • 0000824680 scopus 로고
    • Hyperbolic systems of balance laws with inhomogeneity and dissipation
    • C. M. Dafermos and L. Hsiao. Hyperbolic systems of balance laws with inhomogeneity and dissipation. Indiana Univ. Math. J. 31 (1982), 471-91.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 471-491
    • Dafermos, C.M.1    Hsiao, L.2
  • 7
    • 84981759861 scopus 로고
    • Solutions in the large for nonlinear hyperbolic systems of equations
    • J. Glimm. Solutions in the large for nonlinear hyperbolic systems of equations. Comm. Pure Appl. Math. 18 (1965), 697-715.
    • (1965) Comm. Pure Appl. Math. , vol.18 , pp. 697-715
    • Glimm, J.1
  • 9
    • 0041118280 scopus 로고    scopus 로고
    • Weakly coupled systems of quasilinear hyperbolic equations
    • B. Hanouzet and R. Natalini. Weakly coupled systems of quasilinear hyperbolic equations. Differential Integral Equations. 9 (1996), 1272-92.
    • (1996) Differential Integral Equations , vol.9 , pp. 1272-1292
    • Hanouzet, B.1    Natalini, R.2
  • 12
    • 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. Math. 48 (1995), 235-76.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 235-276
    • Jin, S.1    Xin, Z.2
  • 13
    • 0002950929 scopus 로고
    • Shock waves and entropy
    • ed. E. Zarantonello, New York: Academic Press
    • P. D. Lax. Shock waves and entropy. In Contributions to nonlinear functional analysis, ed. E. Zarantonello, 603-34 (New York: Academic Press, 1971).
    • (1971) Contributions to Nonlinear Functional Analysis , pp. 603-634
    • Lax, P.D.1
  • 14
    • 0000709778 scopus 로고
    • Quasilinear hyperbolic systems
    • T. P. Liu. Quasilinear hyperbolic systems. Comm. Math. Phys. 68 (1979), 141-72.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 141-172
    • Liu, T.P.1
  • 15
    • 21544449601 scopus 로고
    • Hyperbolic conservation laws with relaxation
    • T. P. Liu. Hyperbolic conservation laws with relaxation. Comm. Math. Phys. 108 (1987), 153-75.
    • (1987) Comm. Math. Phys. , vol.108 , pp. 153-175
    • Liu, T.P.1
  • 16
    • 0030490070 scopus 로고    scopus 로고
    • Convergence to equilibrium for the relaxation approximation of conservation laws
    • R. Natalini. Convergence to equilibrium for the relaxation approximation of conservation laws. Comm. Pure Appl. Math. 49 (1996), 795-823.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 795-823
    • Natalini, R.1
  • 18
    • 0039026206 scopus 로고    scopus 로고
    • An error bound for a finite difference scheme applied to a stiff system of conservation laws
    • H. J. Schroll, A. Tveito and R. Winther. An error bound for a finite difference scheme applied to a stiff system of conservation laws. SIAM J. Numer. Anal. 34 (1997), 1152-66.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1152-1166
    • Schroll, H.J.1    Tveito, A.2    Winther, R.3
  • 22
    • 0031537812 scopus 로고    scopus 로고
    • On the rate of convergence to equilibrium for a system of conservation laws including a relaxation term
    • A. Tveito and R. Winther. On the rate of convergence to equilibrium for a system of conservation laws including a relaxation term. SIAM J. Math. Anal. 28 (1997), 136-61.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 136-161
    • Tveito, A.1    Winther, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.