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SIAM Journal on Mathematical Analysis
Volumn 28, Issue 1, 1997, Pages 60-93
The existence of travelling wave solutions of a generalized phase-field model
Author keywords

Hypercooling; Phase field equations; Travelling waves
Indexed keywords

EID: 0031538945     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141095283820     Document Type: Article
Times cited : (32)
References (11)
  • 1
    • 85033125763 scopus 로고    scopus 로고
    • Phase field models for hypercooled solidification
    • to appear
    • P. BATES, P. FIFE, R. GARDNER, AND C. JONES, Phase field models for hypercooled solidification, Phys. D., to appear.
    • Phys. D.
    • Bates, P.1    Fife, P.2    Gardner, R.3    Jones, C.4
  • 2
    • 0004918246 scopus 로고
    • The role of microscopic anisotropy in the macroscopic behavior of a phase boundary
    • G. CAGINALP, The role of microscopic anisotropy in the macroscopic behavior of a phase boundary, Ann. Phys., 172 (1986), pp. 136-155.
    • (1986) Ann. Phys. , vol.172 , pp. 136-155
    • Caginalp, G.1
  • 3
    • 0001102919 scopus 로고
    • Higher order phase field models and detailed anisotropy
    • G. CAGINALP AND P. FIFE, Higher order phase field models and detailed anisotropy, Phys. Rev. B, 34 (1986), pp. 4940-4943.
    • (1986) Phys. Rev. B , vol.34 , pp. 4940-4943
    • Caginalp, G.1    Fife, P.2
  • 4
    • 0001314971 scopus 로고
    • Dynamics of layered interfaces arising form phase boundaries
    • G. CAGINALP AND P. FIFE, Dynamics of layered interfaces arising form phase boundaries, SIAM J. Appl. Math., 48 (1988), pp. 506-518.
    • (1988) SIAM J. Appl. Math. , vol.48 , pp. 506-518
    • Caginalp, G.1    Fife, P.2
  • 5
    • 0010785643 scopus 로고
    • The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit
    • G. CAGINALP AND Y. NISHIURA, The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit, Quart. Appl. Math., 49 (1991), pp. 147-162.
    • (1991) Quart. Appl. Math. , vol.49 , pp. 147-162
    • Caginalp, G.1    Nishiura, Y.2
  • 6
    • 0000329668 scopus 로고
    • An application of the generalized morse index to a competitive diffusion-reaction model
    • C. CONLEY AND R. A. GARDNER, An application of the generalized Morse index to a competitive diffusion-reaction model, Indiana Univ. Math. J., 33 (1984), pp. 319-343.
    • (1984) Indiana Univ. Math. J. , vol.33 , pp. 319-343
    • Conley, C.1    Gardner, R.A.2
  • 7
    • 0001356311 scopus 로고
    • Persistence and smoothness of invariant manifolds for flows
    • N. FENICHEL, Persistence and smoothness of invariant manifolds for flows, Indiana Univ. Math. J., 21 (1971), pp. 193-226.
    • (1971) Indiana Univ. Math. J. , vol.21 , pp. 193-226
    • Fenichel, N.1
  • 8
    • 0003016830 scopus 로고
    • Interfacial dynamics for theromodynamically consistent phase-field models with nonconserved order parameter
    • P. FIFE AND O. PENROSE, Interfacial dynamics for theromodynamically consistent phase-field models with nonconserved order parameter, Electronic J. Differential Equations, 1995, pp. 1-49.
    • (1995) Electronic J. Differential Equations , pp. 1-49
    • Fife, P.1    Penrose, O.2
  • 10
    • 0002663858 scopus 로고
    • Existence of travelling wave solutions of predator-prey systems via the connection index
    • R. A. GARDNER. Existence of travelling wave solutions of predator-prey systems via the connection index, SIAM J. Appl. Math., 44 (1984), pp. 56-79.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 56-79
    • Gardner, R.A.1
  • 11
    • 84966244631 scopus 로고
    • Stability of travelling waves of diffusive predator prey systems
    • R. A. GARDNER AND C. JONES, Stability of travelling waves of diffusive predator prey systems, Trans. Amer. Math. Soc., 327 (1991), pp. 465-524.
    • (1991) Trans. Amer. Math. Soc. , vol.327 , pp. 465-524
    • Gardner, R.A.1    Jones, C.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.