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Volumn 27, Issue 5, 1996, Pages 1261-1269

Global stability of traveling fronts and convergence towards stacked families of waves in monotone parabolic systems

Author keywords

Global stability; Traveling waves; Wave stacks

Indexed keywords


EID: 0030509749     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094267522     Document Type: Article
Times cited : (39)

References (11)
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    • Travelling wave solutions to combustion models and their singular limits
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    • Berestycki, H.1    Nicolaenko, B.2    Scheurer, B.3
  • 2
    • 84990585681 scopus 로고
    • Travelling waves for planar flames with complex chemistry reaction network
    • A. BONNET, Travelling waves for planar flames with complex chemistry reaction network, Comm. Pure Appl. Math., 45 (1992), pp. 1271-1302.
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1271-1302
    • Bonnet, A.1
  • 3
    • 0026264204 scopus 로고
    • Travelling composition waves on isothermal catalyst surfaces
    • M. FEINBERG AND D. TERMAN, Travelling composition waves on isothermal catalyst surfaces, Arch. Rational Mech. Anal., 116 (1991), pp. 35-69.
    • (1991) Arch. Rational Mech. Anal. , vol.116 , pp. 35-69
    • Feinberg, M.1    Terman, D.2
  • 4
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations by travelling front solutions
    • P. C. FIFE AND J. B. MCLEOD, The approach of solutions of nonlinear diffusion equations by travelling front solutions, Arch. Rational Mech. Anal., 65 (1977), pp. 335-361.
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 335-361
    • Fife, P.C.1    Mcleod, J.B.2
  • 5
    • 0346415941 scopus 로고
    • Existence and stability of travelling wave solutions of competition models: A degree theoretic approach
    • R. GARDNER, Existence and stability of travelling wave solutions of competition models: A degree theoretic approach, J. Differential Equations, 44 (1982), pp. 335-379.
    • (1982) J. Differential Equations , vol.44 , pp. 335-379
    • Gardner, R.1
  • 6
    • 38149147143 scopus 로고    scopus 로고
    • Convergence to travelling waves for solutions of a class of semilinear parabolic equations
    • J.-M. ROQUEJOFFRE, Convergence to travelling waves for solutions of a class of semilinear parabolic equations, J. Differential Equations, 108 (1996), pp. 262-295.
    • (1996) J. Differential Equations , vol.108 , pp. 262-295
    • Roquejoffre, J.-M.1
  • 7
    • 0347676904 scopus 로고    scopus 로고
    • Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
    • to appear
    • _, Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders, Ann. Inst. H. Poincaré Anal. Non Linéare, to appear.
    • Ann. Inst. H. Poincaré Anal. Non Linéare
  • 8
    • 0040688532 scopus 로고
    • Stability of planar wave solutions to a combustion model
    • D. TERMAN, Stability of planar wave solutions to a combustion model, SIAM J. Math. Anal., 21 (1990), pp. 1139-1171.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 1139-1171
    • Terman, D.1
  • 9
    • 0012976778 scopus 로고
    • Traveling wave solutions arising from a two step combustion model
    • _, Traveling wave solutions arising from a two step combustion model, SIAM J. Math. Anal., 19 (1988), pp. 1057-1080.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 1057-1080
  • 10
    • 0002944097 scopus 로고
    • Applications of the rotation theory of vector fields to the study of wave solutions of parabolic equations
    • A. I. VOLPERT AND V. A. VOLPERT, Applications of the rotation theory of vector fields to the study of wave solutions of parabolic equations, Trans. Moscow Math. Soc., 52 (1990), pp. 59-108.
    • (1990) Trans. Moscow Math. Soc. , vol.52 , pp. 59-108
    • Volpert, A.I.1    Volpert, V.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.