메뉴 건너뛰기




Volumn 186, Issue 2, 2002, Pages 440-469

Local tracking and stability for degenerate viscous shock waves

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0037059102     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00032-3     Document Type: Article
Times cited : (9)

References (17)
  • 1
    • 0005235678 scopus 로고
    • A topological invariant arising in the analysis of traveling waves
    • J. Alexander, R. Gardner, C.K.R.T. Jones, A topological invariant arising in the analysis of 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.K.R.T.3
  • 3
    • 85080838945 scopus 로고    scopus 로고
    • The Gap Lemma and geometric criteria for instability of viscous shock profiles
    • R. Gardner, K. Zumbrun, The Gap Lemma and geometric criteria for instability of viscous shock profiles, CPAM 51 (1999) 789-847.
    • (1999) CPAM , vol.51 , pp. 789-847
    • Gardner, R.1    Zumbrun, K.2
  • 4
    • 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. Rational Mech. Anal. 95 (1986) 325-344.
    • (1986) Arch. Rational Mech. Anal. , vol.95 , pp. 325-344
    • Goodman, J.1
  • 5
    • 0001054919 scopus 로고
    • Remarks on the stability of viscous shock waves
    • M. Shearer (Ed.) SIAM, Philadelphia
    • J. Goodman, Remarks on the stability of viscous shock waves, in: M. Shearer (Ed.), Viscous Profiles and Numerical Methods for Shock Waves, SIAM, Philadelphia, 1991, pp. 66-72.
    • (1991) Viscous Profiles and Numerical Methods for Shock Waves , pp. 66-72
    • Goodman, J.1
  • 6
    • 0033164375 scopus 로고    scopus 로고
    • Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation
    • P. Howard, Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation, J. Differential Equations 155 (1999) 327-367.
    • (1999) J. Differential Equations , vol.155 , pp. 327-367
    • Howard, P.1
  • 7
    • 0033441053 scopus 로고    scopus 로고
    • Pointwise Green's function approach to stability for scalar conservation laws
    • P. Howard, Pointwise Green's function approach to stability for scalar conservation laws, CPAM 52 (1999) 1295-1313.
    • (1999) CPAM , vol.52 , pp. 1295-1313
    • Howard, P.1
  • 8
    • 0036253930 scopus 로고    scopus 로고
    • Pointwise estimates and stability for degenerate viscous shock waves
    • P. Howard, Pointwise estimates and stability for degenerate viscous shock waves, J. Reine Angew. Math. 545 (2002) 19-65.
    • (2002) J. Reine Angew. Math. , vol.545 , pp. 19-65
    • Howard, P.1
  • 9
    • 0012114308 scopus 로고    scopus 로고
    • A local tracking scheme for viscous shock waves
    • preprint
    • P. Howard,, K. Zumbrun, A local tracking scheme for viscous shock waves, preprint, 1999.
    • (1999)
    • Howard, P.1    Zumbrun, K.2
  • 10
    • 0034365529 scopus 로고    scopus 로고
    • Pointwise estimates and stability for dispersive-diffusive shock waves
    • P. Howard, K. Zumbrun, Pointwise estimates and stability for dispersive-diffusive shock waves, Arch. Rational Mech. Anal. 155 (2000) 85-169.
    • (2000) Arch. Rational Mech. Anal. , vol.155 , pp. 85-169
    • Howard, P.1    Zumbrun, K.2
  • 11
    • 0033628312 scopus 로고    scopus 로고
    • Existence and stability of standing hole solutions to complex Ginzburg Landau equations
    • T. Kapitula, J. Rubin, Existence and stability of standing hole solutions to complex Ginzburg Landau equations, Nonlinearity 13 (1) (2000) 77-112.
    • (2000) Nonlinearity , vol.13 , Issue.1 , pp. 77-112
    • Kapitula, T.1    Rubin, J.2
  • 12
    • 0031531481 scopus 로고    scopus 로고
    • Pointwise convergence to shock waves for the system of viscous conservation laws
    • T.-P. Liu, Pointwise convergence to shock waves for the system of viscous conservation laws, Comm. Pure Appl. Math. 50 (1997) 1113-1182.
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 1113-1182
    • Liu, T.-P.1
  • 13
    • 21844524592 scopus 로고
    • Nonlinear stability of an undercompressive shock for complex Burgers equation
    • T.-P. Liu, K. Zumbrun, Nonlinear stability of an undercompressive shock for complex Burgers equation, Comm. Math. Phys. 168 (1995) 163-186.
    • (1995) Comm. Math. Phys. , vol.168 , pp. 163-186
    • Liu, T.-P.1    Zumbrun, K.2
  • 14
    • 0041127884 scopus 로고
    • On nonlinear stability of general undercompressive viscous shocks
    • T.-P. Liu, K. Zumbrun, On nonlinear stability of general undercompressive viscous shocks, Comm. Math. Phys. 174 (1995) 319-345.
    • (1995) Comm. Math. Phys. , vol.174 , pp. 319-345
    • Liu, T.-P.1    Zumbrun, K.2
  • 15
    • 0004021335 scopus 로고
    • 6th Edition, Springer-Verlag, New York
    • K. Yosida, Functional Analysis, 6th Edition, Springer-Verlag, New York, 1980.
    • (1980) Functional Analysis
    • Yosida, K.1
  • 16
    • 0012189670 scopus 로고    scopus 로고
    • Refined Green's function bounds for stability of viscous shock waves
    • preprint
    • K. Zumbrun, Refined Green's function bounds for stability of viscous shock waves, preprint, 2000.
    • (2000)
    • Zumbrun, K.1
  • 17
    • 0009378734 scopus 로고    scopus 로고
    • Pointwise semigroup methods and stability of viscous shock waves
    • K. Zumbrun, P. Howard, Pointwise semigroup methods and stability of viscous shock waves, Indiana U. Math. J. 47 (3) (1998) 741-871.
    • (1998) Indiana U. Math. J. , vol.47 , Issue.3 , pp. 741-871
    • Zumbrun, K.1    Howard, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.