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Volumn 57, Issue 2, 2006, Pages 244-268

Local and asymptotic analysis of the flow generated by the Cahn-Hilliard-Gurtin equations

Author keywords

Anisotropic Cahn Hilliard equations; Convergence to a steady state; Lojasiewicz' inequality

Indexed keywords


EID: 33644692837     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-005-0017-6     Document Type: Article
Times cited : (18)

References (17)
  • 1
    • 0035419548 scopus 로고    scopus 로고
    • On Cahn-Hilliard-Gurtin equations. Proceedings of the Third World Congress of Nonlinear Analysts, Part 5 (Catania, 2000)
    • Bonfoh A., Miranville A., On Cahn-Hilliard-Gurtin equations. Proceedings of the Third World Congress of Nonlinear Analysts, Part 5 (Catania, 2000). Nonlinear Anal. 47 (2001), 3455-3466.
    • (2001) Nonlinear Anal. , vol.47 , pp. 3455-3466
    • Bonfoh, A.1    Miranville, A.2
  • 2
    • 0038116267 scopus 로고    scopus 로고
    • On the Lojasiewicz-Simon gradient inequality
    • Chill R., On the Lojasiewicz-Simon gradient inequality. J. Funct. Anal. 201 (2003), 572-601.
    • (2003) J. Funct. Anal. , vol.201 , pp. 572-601
    • Chill, R.1
  • 4
    • 0030187271 scopus 로고    scopus 로고
    • Viscous Cahn-Hilliard equation. II. Analysis
    • Elliott. C, Stuart A., Viscous Cahn-Hilliard equation. II. Analysis. J. Differential Equations 128 (1996), 387-414.
    • (1996) J. Differential Equations , vol.128 , pp. 387-414
    • Elliott, C.1    Stuart, A.2
  • 5
    • 1842843827 scopus 로고    scopus 로고
    • A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems
    • Feireisl E., Issard-Roch F., Petzeltová H., A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems. J. Differential Equations 199 (2004), 1-21.
    • (2004) J. Differential Equations , vol.199 , pp. 1-21
    • Feireisl, E.1    Issard-Roch, F.2    Petzeltová, H.3
  • 6
    • 0000063685 scopus 로고
    • Continuum theory of thermally induced phase transitions based on an order parameter
    • Fried E., Gurtin M., Continuum theory of thermally induced phase transitions based on an order parameter. Physica D 68 (1993), 326-343.
    • (1993) Physica D , vol.68 , pp. 326-343
    • Fried, E.1    Gurtin, M.2
  • 7
    • 26544469625 scopus 로고
    • Dynamic solid-solid phase transition with phase characterized by an order parameter
    • Fried E., Gurtin M., Dynamic solid-solid phase transition with phase characterized by an order parameter. Physica D 72 (1994), 287-308.
    • (1994) Physica D , vol.72 , pp. 287-308
    • Fried, E.1    Gurtin, M.2
  • 8
    • 0005340388 scopus 로고    scopus 로고
    • Convergence for semilinear degenerate parabolic equations in several space dimensions
    • Feireisl E., Simondon F., Convergence for semilinear degenerate parabolic equations in several space dimensions. J. Dynam. Differential Equations 12 (2000), 647-673.
    • (2000) J. Dynam. Differential Equations , vol.12 , pp. 647-673
    • Feireisl, E.1    Simondon, F.2
  • 9
    • 54749104300 scopus 로고    scopus 로고
    • Models for phase separation and their mathematics
    • Fife P., Models for phase separation and their mathematics. Electron. J. Differential Equations (2000), no. 48 26 pp.
    • (2000) Electron. J. Differential Equations , Issue.48
    • Fife, P.1
  • 10
    • 0001343091 scopus 로고    scopus 로고
    • The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor
    • Grinfeld M., Novick-Cohen A., The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor. Trans. Amer. Math. Soc. 351 (1999), 2375-2406.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 2375-2406
    • Grinfeld, M.1    Novick-Cohen, A.2
  • 11
    • 0001158204 scopus 로고    scopus 로고
    • Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
    • Gurtin M., Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Physica D 92 (1996), 178-192.
    • (1996) Physica D , vol.92 , pp. 178-192
    • Gurtin, M.1
  • 12
    • 11544372290 scopus 로고    scopus 로고
    • A simple unified approach to some convergence theorems of L. Simon
    • Jendoubi M., A simple unified approach to some convergence theorems of L. Simon. J. Funct. Anal. 153 (1998), 187-202.
    • (1998) J. Funct. Anal. , vol.153 , pp. 187-202
    • Jendoubi, M.1
  • 13
    • 1642278197 scopus 로고    scopus 로고
    • Generalized Cahn-Hilliard equations based on a microforce balance
    • Miranville A., Generalized Cahn-Hilliard equations based on a microforce balance. J. Appl. Math. (2003), 166-185.
    • (2003) J. Appl. Math. , pp. 166-185
    • Miranville, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.