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Volumn 20, Issue 2, 1999, Pages 133-173

Long-time behaviour of diffusion waves for a viscous system of conservation laws in RN

Author keywords

Convection diffusion equations; Diffusion waves; Long time behaviour; Self similarity

Indexed keywords


EID: 0042043226     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (17)
  • 1
    • 0009069841 scopus 로고    scopus 로고
    • Large time behaviour in convection-diffusion equations
    • A. Carpio, Large time behaviour in convection-diffusion equations, Ann. Scuola Norm. Sup. Pisa XXIII(3) (1996), 551-574.
    • (1996) Ann. Scuola Norm. Sup. Pisa , vol.23 , Issue.3 , pp. 551-574
    • Carpio, A.1
  • 2
    • 0000170201 scopus 로고
    • Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws
    • I.-L. Chern, Multiple-mode diffusion waves for viscous nonstrictly hyperbolic conservation laws, Comm. Math. Phys. 138 (1991), 51-61.
    • (1991) Comm. Math. Phys. , vol.138 , pp. 51-61
    • Chern, I.-L.1
  • 3
    • 0039657693 scopus 로고
    • Convergence to diffusion waves of solutions for viscous conservation laws
    • I.-L. Chern and T.P. Liu, Convergence to diffusion waves of solutions for viscous conservation laws, Comm. Math. Phys. 110 (1987), 503-517.
    • (1987) Comm. Math. Phys. , vol.110 , pp. 503-517
    • Chern, I.-L.1    Liu, T.P.2
  • 4
    • 0000021267 scopus 로고
    • A diffusion-convection equation in several space dimensions
    • M. Escobedo, J.L. Vazquez and E. Zuazua, A diffusion-convection equation in several space dimensions, Indiana Univ. Math. J. 42 (1993), 1-28.
    • (1993) Indiana Univ. Math. J. , vol.42 , pp. 1-28
    • Escobedo, M.1    Vazquez, J.L.2    Zuazua, E.3
  • 5
    • 34250077986 scopus 로고
    • Source-type solutions and asymptotic behaviour for a diffusion-convection equation
    • M. Escobedo, J.L. Vazquez and E. Zuazua, Source-type solutions and asymptotic behaviour for a diffusion-convection equation, Arch. Rational Mech. Anal. 124 (1993), 43-66.
    • (1993) Arch. Rational Mech. Anal. , vol.124 , pp. 43-66
    • Escobedo, M.1    Vazquez, J.L.2    Zuazua, E.3
  • 6
    • 84966213174 scopus 로고
    • Entropy solutions for diffusion convection equations with partial diffusivity
    • M. Escobedo, J.L. Vazquez and E. Zuazua, Entropy solutions for diffusion convection equations with partial diffusivity, Trans. Amer. Math. Soc. 343 (1994), 829-842.
    • (1994) Trans. Amer. Math. Soc. , vol.343 , pp. 829-842
    • Escobedo, M.1    Vazquez, J.L.2    Zuazua, E.3
  • 7
    • 0000648149 scopus 로고
    • Large time behavior of the solutions of a convection-diffusion equation
    • M. Escobedo and E. Zuazua, Large time behavior of the solutions of a convection-diffusion equation, J. Funct. Anal. 100 (1991), 119-161.
    • (1991) J. Funct. Anal. , vol.100 , pp. 119-161
    • Escobedo, M.1    Zuazua, E.2
  • 8
    • 0031513955 scopus 로고    scopus 로고
    • Long time behaviour for a convection-diffusion equation in higher dimensions
    • M. Escobedo and E. Zuazua, Long time behaviour for a convection-diffusion equation in higher dimensions, SIAM J. Math. Anal. 28 (1997), 570-594.
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 570-594
    • Escobedo, M.1    Zuazua, E.2
  • 9
    • 0003180894 scopus 로고
    • Global existence for systems of parabolic conservation laws in several space variables
    • D. Hoff and J. Smoller, Global existence for systems of parabolic conservation laws in several space variables, J. Differential Equations 68 (1987), 210-220.
    • (1987) J. Differential Equations , vol.68 , pp. 210-220
    • Hoff, D.1    Smoller, J.2
  • 10
    • 0000591519 scopus 로고
    • Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
    • D. Hoff and K. Zumbrun, Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow, Indiana Univ. Math. J. 44 (1995), 603-676.
    • (1995) Indiana Univ. Math. J. , vol.44 , pp. 603-676
    • Hoff, D.1    Zumbrun, K.2
  • 11
    • 84976041027 scopus 로고
    • Large time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications
    • S. Kawashima, Large time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications, Proc. Roy. Soc. Edinburgh Sect. A 106 (1987), 169-194.
    • (1987) Proc. Roy. Soc. Edinburgh Sect. A , vol.106 , pp. 169-194
    • Kawashima, S.1
  • 12
    • 84956238079 scopus 로고
    • First-order quasilinear equations in several independent variables
    • S. Kruzhkov, 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.1
  • 13
    • 84968504658 scopus 로고
    • Nonlinear stability of shock waves for viscous conservation laws
    • T.P. Liu, Nonlinear stability of shock waves for viscous conservation laws, Mem. Amer. Math. Soc. 56 (1985).
    • (1985) Mem. Amer. Math. Soc. , vol.56
    • Liu, T.P.1
  • 14
    • 0000534665 scopus 로고
    • Source-solutions and asymptotic behaviour in conservation laws
    • T.P. Liu and M. Pierre, Source-solutions and asymptotic behaviour in conservation laws, J. Differential Equations 51 (1984), 419-441.
    • (1984) J. Differential Equations , vol.51 , pp. 419-441
    • Liu, T.P.1    Pierre, M.2
  • 15
    • 0030642440 scopus 로고    scopus 로고
    • Large time behaviour of solutions of general quasilinear hyperbolic-parabolic systems of conservation laws
    • T.P. Liu and Y. Zeng, Large time behaviour of solutions of general quasilinear hyperbolic-parabolic systems of conservation laws, Mem. Amer. Math. Soc. 599 (1997).
    • (1997) Mem. Amer. Math. Soc. , vol.599
    • Liu, T.P.1    Zeng, Y.2
  • 16
    • 0042437964 scopus 로고    scopus 로고
    • Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
    • D. Tan, T. Zhang and Y. Zheng, Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws, J. Differential Equations 127 (1996), 124-147.
    • (1996) J. Differential Equations , vol.127 , pp. 124-147
    • Tan, D.1    Zhang, T.2    Zheng, Y.3
  • 17
    • 84990671435 scopus 로고
    • 1 asymptotic behaviour of compressible isentropic, viscous 1d flow
    • 1 asymptotic behaviour of compressible isentropic, viscous 1d flow, Comm. Pure Appl. Math. 47 (1994), 1053-1082.
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 1053-1082
    • Zeng, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.