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Volumn 30, Issue 4, 1999, Pages 927-936

An analytical proof of the linear stability of the viscous shock profile of the Burgers equation with fourth-order viscosity

Author keywords

Stability; Viscous shock profiles

Indexed keywords


EID: 0033243618     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614109833639X     Document Type: Article
Times cited : (7)

References (11)
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  • 2
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  • 3
    • 0022865466 scopus 로고
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    • Goodman, J.1
  • 4
    • 0000658639 scopus 로고
    • Bifurcations and trajectories joining critical points
    • N. KOPELL AND L. N. HOWARD, Bifurcations and Trajectories Joining Critical Points, Adv. Math., 18 (1975), pp. 306-358.
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    • Kopell, N.1    Howard, L.N.2
  • 5
    • 84968504658 scopus 로고
    • Nonlinear stability of shock waves for viscous conservation laws
    • T. P. LIU, Nonlinear stability of shock waves for viscous conservation laws, Bull. Amer. Math. Soc. (N.S.), 12 (1985), pp. 233-236.
    • (1985) Bull. Amer. Math. Soc. (N.S.) , vol.12 , pp. 233-236
    • Liu, T.P.1
  • 6
    • 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), pp. 17-25.
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  • 8
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    • Stability of bunsen flame profiles in the Kuramoto-Sivashinsky equation
    • D. MICHELSON, Stability of Bunsen flame profiles in the Kuramoto-Sivashinsky equation, SIAM J. Math. Anal. 27 (1996), pp. 765-781.
    • (1996) SIAM J. Math. Anal. , vol.27 , pp. 765-781
    • Michelson, D.1
  • 9
    • 84980191752 scopus 로고
    • On fourth-order dissipation and single conservation laws
    • M. S. MOCK, On fourth-order dissipation and single conservation laws, Comm. Pure Appl. Math., 29 (1976), pp. 383-388.
    • (1976) Comm. Pure Appl. Math. , vol.29 , pp. 383-388
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  • 10
    • 0000815930 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flames
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  • 11
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    • Nonlinear stability of viscous shock waves
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    • Szepessy, A.1    Xin, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.