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Volumn 172, Issue 2, 2004, Pages 153-190

Singular limit and homogenization for flame propagation in periodic excitable media

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EID: 2442636449     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-003-0299-9     Document Type: Article
Times cited : (25)

References (16)
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    • Berestycki, H.1    Hamel, R.2
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    • Travelling wave solutions to combustion models and their singular limits
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    • (1985) S.I.A.M. J. Math. Anal. , vol.16 , pp. 1207-1242
    • Berestycki, H.1    Nicolaenko, B.2    Sheurer, B.3
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    • Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
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    • [CK] CAFFARELLI, L. A., KOENIG, C.E.: Gradient estimates for variable coefficient parabolic equations and singular perturbation problems. Am. J. Math. 120, 391-439 (1998)
    • (1998) Am. J. Math. , vol.120 , pp. 391-439
    • Caffarelli, L.A.1    Koenig, C.E.2
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    • 0000038219 scopus 로고    scopus 로고
    • Uniform estimates and limits for a two phase parabolic singular perturbation problem
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    • [CLW1] CAFFARELLI, L.A., LEDERMAN, C., WOLANSKI, N.: Uniform estimates and limits for a two phase parabolic singular perturbation problem. Indiana Univ. Math. J. 46, 453-489 (1997)
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 453-489
    • Caffarelli, L.A.1    Lederman, C.2    Wolanski, N.3
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    • 0000412758 scopus 로고    scopus 로고
    • Pointwise and viscosity solutions for limit of a two phase parabolic singular perturbation problem
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    • [CLW2] CAFFARELLI, L.A., LEDERMAN, C., WOLANSKI, N.: Pointwise and viscosity solutions for limit of a two phase parabolic singular perturbation problem. Indiana Univ. Math. J. 46, 719-740 (1997)
    • (1997) Indiana Univ. Math. J. , vol.46 , pp. 719-740
    • Caffarelli, L.A.1    Lederman, C.2    Wolanski, N.3
  • 10
    • 84966198519 scopus 로고
    • A free-boundary problem for the heat equation arising in flame propagation
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    • [CV] CAFFARELLI, L.A., VASQUEZ, J.L.: A free-boundary problem for the heat equation arising in flame propagation. Trans. A.M.S. 347, 411-441 (1995)
    • (1995) Trans. A.M.S. , vol.347 , pp. 411-441
    • Caffarelli, L.A.1    Vasquez, J.L.2
  • 13
    • 23044524594 scopus 로고    scopus 로고
    • Uniqueness of solution to a free boundary problem from combustion
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    • [LVW] LEDERMAN, C., VAZQUEZ, J.L., WOLANSKI, N.: Uniqueness of solution to a free boundary problem from combustion. Trans. A.M.S. 253, 655-692 (2000)
    • (2000) Trans. A.M.S. , vol.253 , pp. 655-692
    • Lederman, C.1    Vazquez, J.L.2    Wolanski, N.3
  • 14
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    • Stability of travelling fronts in a curved flame model, II: Nonlinear stability
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    • [R1] ROQUEJOFFRE, J.M.: Stability of travelling fronts in a curved flame model, II: Nonlinear stability. Arch. Rational Mech. Anal. 117, 119-153 (1992)
    • (1992) Arch. Rational Mech. Anal. , vol.117 , pp. 119-153
    • Roquejoffre, J.M.1
  • 15
    • 0000728498 scopus 로고    scopus 로고
    • Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
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    • [R2] ROQUEJOFFRE, J.M.: Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders. Ann. Inst. Henri Poincaré 14, 499-552 (1997)
    • (1997) Ann. Inst. Henri Poincaré , vol.14 , pp. 499-552
    • Roquejoffre, J.M.1
  • 16
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    • Self-similar blow-up and Hausdorff dimension estimates for a class of parabolic free boundary problems
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    • [W] WEISS, G.S.: Self-similar blow-up and Hausdorff dimension estimates for a class of parabolic free boundary problems. SIAM J. Math. Anal. 30, 623-644 (1999)
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    • Weiss, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.