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Volumn 34, Issue 2, 1997, Pages 303-318

Stability of traveling wave solutions for non-convex equations of break barotropic viscous gas

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EID: 0040151449     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 0005235678 scopus 로고
    • A topological invariant arising in the stability of the traveling waves
    • J. Alexander, R. Gardner and C. Jones: A topological invariant arising in the stability of the traveling waves, J. reine angew. Math. 410 (1990), 167-212.
    • (1990) J. Reine Angew. Math. , vol.410 , pp. 167-212
    • Alexander, J.1    Gardner, R.2    Jones, C.3
  • 2
    • 0022865466 scopus 로고
    • Nonlinear asymptotic stability of viscous shock profiles for conservation laws
    • J. Goodman: Nonlinear asymptotic stability of viscous shock profiles for conservation laws, Arch. Rat. Mech. Anal. 95 (1986), 325-344.
    • (1986) Arch. Rat. Mech. Anal. , vol.95 , pp. 325-344
    • Goodman, J.1
  • 3
    • 0001390578 scopus 로고
    • The inviscid limit for the Navier-Stokes equations of compressible, isentropic flow with shock data
    • D. Hoff and T.-P. Liu: The inviscid limit for the Navier-Stokes equations of compressible, isentropic flow with shock data, Indiana Univ. Math. J. 38 (1989), 861-915.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 861-915
    • Hoff, D.1    Liu, T.-P.2
  • 4
    • 84990556253 scopus 로고
    • Stability of traveling waves for non-convex scalar viscous conservation law
    • C. Jones, R. Gardner and T. Kapitula: Stability of traveling waves for non-convex scalar viscous conservation law, Commun Pure Appl. Math. 46 (1993), 505-526.
    • (1993) Commun Pure Appl. Math. , vol.46 , pp. 505-526
    • Jones, C.1    Gardner, R.2    Kapitula, T.3
  • 5
    • 34250115323 scopus 로고
    • Asymptotic stability of traveling wave solutions of system for one-dimensional gas motion
    • S. Kawashima and A. Matsumura: Asymptotic stability of traveling wave solutions of system for one-dimensional gas motion, Commun. Math. Phys. 101 (1985), 97-127.
    • (1985) Commun. Math. Phys. , vol.101 , pp. 97-127
    • Kawashima, S.1    Matsumura, A.2
  • 6
    • 62449235559 scopus 로고
    • Stability of shock profiles in viscoelasticity with non-convex constitutive relations
    • S. Kawashima and A. Matsumura, Stability of shock profiles in viscoelasticity with non-convex constitutive relations, Commun. Pure Appl. Math. 47 (1994), 1547-1569.
    • (1994) Commun. Pure Appl. Math. , vol.47 , pp. 1547-1569
    • Kawashima, S.1    Matsumura, A.2
  • 7
    • 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 no.328 (1985).
    • (1985) Mem. Amer. Math. Soc. , vol.56 , Issue.328
    • Liu, T.-P.1
  • 8
    • 84990557244 scopus 로고
    • Shock waves for compressible Navier - Stokes equations are stable
    • T.-P. Liu: Shock waves for compressible Navier - Stokes equations are stable, Commun. Pure Appl. Math. 39 (1986), 565-594.
    • (1986) Commun. Pure Appl. Math. , vol.39 , pp. 565-594
    • Liu, T.-P.1
  • 9
    • 0004413458 scopus 로고
    • Larger-time behavior of one-dimensional motions of compressible viscous gas
    • Recent devlopments in theoretical fluid mechanics, Winter school, Paseky, edited by G.P. Galdi and J. Necas
    • A. Matsumura: Larger-time behavior of one-dimensional motions of compressible viscous gas, Recent devlopments in theoretical fluid mechanics, Winter school, Paseky, 1992 (edited by G.P. Galdi and J. Necas), Longman Sci. Tech. New York, 103-128.
    • (1992) Longman Sci. Tech. New York , pp. 103-128
    • Matsumura, A.1
  • 10
    • 0001923997 scopus 로고
    • On the stability of traveling wave solutions of a one-dimensional model system for compressible viscous gas
    • A. Matsumura and K. Nishihara: On the stability of traveling wave solutions of a one-dimensional model system for compressible viscous gas, Japan J. Appl. Math. 2 (1985), 17-25.
    • (1985) Japan J. Appl. Math. , vol.2 , pp. 17-25
    • Matsumura, A.1    Nishihara, K.2
  • 11
    • 21844512198 scopus 로고
    • Asymptotic stability of travelling waves for scalar viscous conservation laws with non-convex nonlinearity
    • A. Matsumura and K. Nishihara: Asymptotic stability of travelling waves for scalar viscous conservation laws with non-convex nonlinearity, Commun. Math. Phys. 165 (1994), 83-96.
    • (1994) Commun. Math. Phys. , vol.165 , pp. 83-96
    • Matsumura, A.1    Nishihara, K.2
  • 12
    • 0009377159 scopus 로고
    • Stability of shock profiles for non-convex scalar conservation laws
    • M. Mei: Stability of shock profiles for non-convex scalar conservation laws, Math. Models Methods Appl. Sci. 5 (1995), 279-296.
    • (1995) Math. Models Methods Appl. Sci. , vol.5 , pp. 279-296
    • Mei, M.1
  • 13
    • 0009173909 scopus 로고    scopus 로고
    • Nonlinear stability of traveling waves for one-dimesional viscous materials with non-convex nonlinearity
    • M. Mei and K. Nishihara: Nonlinear stability of traveling waves for one-dimesional viscous materials with non-convex nonlinearity, Tokyo J. Math. 1 (1997), 241-264.
    • (1997) Tokyo J. Math. , vol.1 , pp. 241-264
    • Mei, M.1    Nishihara, K.2
  • 14
    • 0000158254 scopus 로고
    • Stability of travelling waves with degenerate shock condition for one-dimensional viscoelastic model
    • K. Nishihara: Stability of travelling waves with degenerate shock condition for one-dimensional viscoelastic model, J. Differential Equations 120 (1995), 304-318.
    • (1995) J. Differential Equations , vol.120 , pp. 304-318
    • Nishihara, K.1
  • 15
    • 21144471868 scopus 로고
    • Nonlinear stability of viscous shock waves
    • A. Szepessy and Z.-P. Xin: Nonlinear stability of viscous shock waves, Arch. Rat. Mech. Anal. 122 (1993), 53-104.
    • (1993) Arch. Rat. Mech. Anal. , vol.122 , pp. 53-104
    • Szepessy, A.1    Xin, Z.-P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.