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Volumn 133, Issue 3, 1996, Pages 249-298

Stability of rarefaction waves in viscous media

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EID: 0030533740     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00380894     Document Type: Article
Times cited : (54)

References (22)
  • 2
    • 0038972055 scopus 로고
    • A remark on the stability of viscous shocks
    • preprint TRITA-NA-9211, Royal Inst. of Technology, S-100 44 Stockholm, to appear
    • GOODMAN, J., SZEPESSY, A. & ZUMBRUN, K., A remark on the stability of viscous shocks, preprint (1992) TRITA-NA-9211, Royal Inst. of Technology, S-100 44 Stockholm, to appear in SIAM J. Math. Anal.
    • (1992) SIAM J. Math. Anal.
    • Goodman, J.1    Szepessy, A.2    Zumbrun, K.3
  • 3
    • 0022865466 scopus 로고
    • Nonlinear asymptotic stability of viscous shock profiles for conservation laws
    • GOODMAN, J., Nonlinear asymptotic stability of viscous shock profiles for conservation laws, Arch. Rational Mech. Anal. 95 (1986) 325-344.
    • (1986) Arch. Rational Mech. Anal. , vol.95 , pp. 325-344
    • Goodman, J.1
  • 4
    • 0000495150 scopus 로고
    • Rarefactions and large-time behavior for parabolic equations and monotone schemes
    • HAREBETIAN, E., Rarefactions and large-time behavior for parabolic equations and monotone schemes, Comm. Math. Phys. 114 (1986) 527-536.
    • (1986) Comm. Math. Phys. , vol.114 , pp. 527-536
    • Harebetian, E.1
  • 5
    • 85050699618 scopus 로고
    • Solutions in the large for certain nonlinear parabolic systems
    • HOFF, D. & SMOLLER, J., Solutions in the large for certain nonlinear parabolic systems, Analyse non Lin. 2 (1985) 213-235.
    • (1985) Analyse Non Lin. , vol.2 , pp. 213-235
    • Hoff, D.1    Smoller, J.2
  • 7
    • 0003137706 scopus 로고
    • Behavior of the solution of the Cauchy problem for certain quasi linear equations for unbounded increase of time
    • IL'IN, A. M. & OLEINIK, O. A., Behavior of the solution of the Cauchy problem for certain quasi linear equations for unbounded increase of time, Amer. Math. Soc. Translations, Ser. 2, 42 (1964) 19-23.
    • (1964) Amer. Math. Soc. Translations, Ser. 2 , vol.42 , pp. 19-23
    • Il'in, A.M.1    Oleinik, O.A.2
  • 8
    • 0011608808 scopus 로고
    • Asymptotic behavior of the solutions for the equations of a viscous head-conductive gas
    • KAWASHIMA, S., MATSUMURA, A. & NISHIHARA, K., Asymptotic behavior of the solutions for the equations of a viscous head-conductive gas. Proc. Japan Acad. 62 (1986) 249-252.
    • (1986) Proc. Japan Acad. , vol.62 , pp. 249-252
    • Kawashima, S.1    Matsumura, A.2    Nishihara, K.3
  • 9
    • 0000218905 scopus 로고
    • Sulle equazioni lineari totalmente ellittiche alle derivate parziali
    • LEVI, E. E., Sulle equazioni lineari totalmente ellittiche alle derivate parziali, Rend. Circ. Mat. Palermo, 24 (1907) 275-317.
    • (1907) Rend. Circ. Mat. Palermo , vol.24 , pp. 275-317
    • Levi, E.E.1
  • 10
    • 84980187336 scopus 로고
    • Linear and nonlinear large-time behavior of solutions to general systems of hyperbolic conservation laws
    • LIU, T.-P., Linear and nonlinear large-time behavior of solutions to general systems of hyperbolic conservation laws, Comm. Pure Appl. Math. 30 (1977) 767-797.
    • (1977) Comm. Pure Appl. Math. , vol.30 , pp. 767-797
    • Liu, T.-P.1
  • 11
    • 0002845226 scopus 로고
    • Interaction of nonlinear hyperbolic waves
    • Eds. F.-C. LIU & T.-P. LIU, World Scientific
    • LIU, T.-P., Interaction of nonlinear hyperbolic waves, in Nonlinear Analysis, Eds. F.-C. LIU & T.-P. LIU, World Scientific, 1991, 171-184.
    • (1991) Nonlinear Analysis , pp. 171-184
    • Liu, T.-P.1
  • 12
    • 0003343266 scopus 로고
    • Nonlinear stability of shock waves for viscous conservation laws
    • LIU, T.-P., Nonlinear Stability of Shock Waves for Viscous Conservation Laws, Memoirs of Amer. Math. Soc., 328 (1986).
    • (1986) Memoirs of Amer. Math. Soc. , vol.328
    • Liu, T.-P.1
  • 15
    • 21844524592 scopus 로고    scopus 로고
    • Nonlinear stability of an undercompressive shock of complex Burgers equation
    • to appear
    • LIU, T.-P. & ZUMBRUN, K., Nonlinear stability of an undercompressive shock of complex Burgers equation, to appear, Comm. Math. Phys.
    • Comm. Math. Phys.
    • Liu, T.-P.1    Zumbrun, K.2
  • 17
    • 0001790393 scopus 로고
    • Asymptotics towards the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
    • MATSUMURA, A. & NISHIHARA, K., Asymptotics towards the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas, Japan. J. Appl. Math. 3 (1986) 1-13.
    • (1986) Japan. J. Appl. Math. , vol.3 , pp. 1-13
    • Matsumura, A.1    Nishihara, K.2
  • 18
    • 34249841641 scopus 로고
    • Global stability of the rarefaction wave of a one-dimensional model system for compressible gas
    • MATSUMURA, A. & NISHIHARA, K. Global stability of the rarefaction wave of a one-dimensional model system for compressible gas, Comm. Math. Phys. 144 (1992), 335-335.
    • (1992) Comm. Math. Phys. , vol.144 , pp. 335-335
    • Matsumura, A.1    Nishihara, K.2
  • 20
    • 21144471868 scopus 로고
    • Nonlinear stability of viscous shock waves
    • SZEPESSY, A. & XIN, Z., Nonlinear stability of viscous shock waves, Arch. Rational Mech. Anal. 122 (1993) 53-103.
    • (1993) Arch. Rational Mech. Anal. , vol.122 , pp. 53-103
    • Szepessy, A.1    Xin, Z.2
  • 21
    • 38249028392 scopus 로고
    • Asymptotic stability of rarefaction waves for 2×2 viscous hyperbolic conservation laws
    • XIN, Z., Asymptotic stability of rarefaction waves for 2×2 viscous hyperbolic conservation laws, J. Diff. Eqs. 73 (1988) 45-77.
    • (1988) J. Diff. Eqs. , vol.73 , pp. 45-77
    • Xin, Z.1
  • 22
    • 0038972056 scopus 로고
    • Thesis, New York University
    • ZINGANO, P., Thesis, New York University, 1990.
    • (1990)
    • Zingano, P.1


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