메뉴 건너뛰기




Volumn , Issue , 2006, Pages 149-170

Asymptotic behavior of a phase-field system with dynamic boundary conditions

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84963596399     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (47)

References (18)
  • 1
    • 85057417816 scopus 로고    scopus 로고
    • Convergence to steady states of solutions of the Cahn-Hilliard equation with dynamic boundary conditions
    • to appear
    • R. Chill, E. Fašangová and J. Prüss: Convergence to steady states of solutions of the Cahn-Hilliard equation with dynamic boundary conditions, Math. Nachr., to appear.
    • Math. Nachr
    • Chill, R.1    Fašangová, E.2    Prüss, J.3
  • 2
    • 4644317944 scopus 로고    scopus 로고
    • Exponential attractors for a singularly perturbed Cahn-Hilliard system
    • M. Efendiev, A. Miranville and S. Zelik: Exponential attractors for a singularly perturbed Cahn-Hilliard system, Math. Nachr. 272 (2004), 11-31.
    • (2004) Math. Nachr , vol.272 , pp. 11-31
    • Efendiev, M.1    Miranville, A.2    Zelik, S.3
  • 3
    • 0842305560 scopus 로고    scopus 로고
    • Uniform exponential attractors for a singularly perturbed damped wave equation
    • P. Fabrie et al.: Uniform exponential attractors for a singularly perturbed damped wave equation, Discrete Contin. Dynam. Systems 10 (2004), 211-238.
    • (2004) Discrete Contin. Dynam. Systems , vol.10 , pp. 211-238
    • Fabrie, P.1
  • 5
    • 0032045203 scopus 로고    scopus 로고
    • Diverging time and length scales of spinodal decomposition modes in thin flows
    • H.P. Fischer, Ph. Maass and W. Dieterich: Diverging time and length scales of spinodal decomposition modes in thin flows, Europhys. Letters 62 (1998), 49-54.
    • (1998) Europhys. Letters , vol.62 , pp. 49-54
    • Fischer, H.P.1    Maass, P.H.2    Dieterich, W.3
  • 6
    • 0000610074 scopus 로고
    • Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
    • J.K. Hale and G. Raugel: Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation, J. Differential Equations 73 (1988), 197-214.
    • (1988) J. Differential Equations , vol.73 , pp. 197-214
    • Hale, J.K.1    Raugel, G.2
  • 7
    • 0035151565 scopus 로고    scopus 로고
    • Phase separation in confined geometries: Solving the Cahn-Hilliard equation with generic boundary conditions
    • R. Kenzler et al.: Phase separation in confined geometries: solving the Cahn-Hilliard equation with generic boundary conditions, Comput. Phys. Comm. 133 (2001), 139-157.
    • (2001) Comput. Phys. Comm , vol.133 , pp. 139-157
    • Kenzler, R.1
  • 9
    • 2142680568 scopus 로고    scopus 로고
    • Robust Exponential attractors for singularly perturbed phase-field type equations
    • A. Miranville and S. Zelik: Robust Exponential attractors for singularly perturbed phase-field type equations, EJDE 63 (2002), 1-28.
    • (2002) EJDE , vol.63 , pp. 1-28
    • Miranville, A.1    Zelik, S.2
  • 10
    • 15744377181 scopus 로고    scopus 로고
    • Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions
    • A. Miranville and S. Zelik: Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions, Math. Meth. Appl. Sci. 28 (2005), 709-735.
    • (2005) Math. Meth. Appl. Sci , vol.28 , pp. 709-735
    • Miranville, A.1    Zelik, S.2
  • 11
    • 0001817373 scopus 로고
    • On the viscous Cahn-Hilliard equation
    • Edinburgh, 1985-1986, Oxford Univ. Press, New York
    • A. Novick-Cohen: On the viscous Cahn-Hilliard equation. Material instabilities in continuum mechanics, Edinburgh, 1985-1986, 329-342, Oxford Univ. Press, New York, 1988.
    • (1988) Material Instabilities in Continuum Mechanics , pp. 329-342
    • Novick-Cohen, A.1
  • 12
    • 85057413872 scopus 로고    scopus 로고
    • Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions
    • to appear
    • J. Prüss, R. Racke and S. Zheng: Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions, Math. Nach., to appear.
    • Math. Nach
    • Prüss, J.1    Racke, R.2    Zheng, S.3
  • 13
    • 84894233003 scopus 로고    scopus 로고
    • The Cahn-Hilliard equation with dynamic boundary conditions
    • R. Racke and S. Zheng: The Cahn-Hilliard equation with dynamic boundary conditions, Adv. Diff. Eqns. 8 (2003), 83-110.
    • (2003) Adv. Diff. Eqns , vol.8 , pp. 83-110
    • Racke, R.1    Zheng, S.2
  • 15
    • 0003057670 scopus 로고
    • Regular degeneration and boundary layer for linear differential equations with small parameter
    • M.I. Vishik and L.A. Lyusternik: Regular degeneration and boundary layer for linear differential equations with small parameter, Uspehi Math. Nauk. 5 (1957), 3-122.
    • (1957) Uspehi Math. Nauk , vol.5 , pp. 3-122
    • Vishik, M.I.1    Lyusternik, L.A.2
  • 16
    • 4344654674 scopus 로고    scopus 로고
    • Convergence to the equilibrium for the Cahn-Hilliard equation with dynamic boundary conditions
    • H. Wu and S. Zheng Convergence to the equilibrium for the Cahn-Hilliard equation with dynamic boundary conditions, J. Diff. Eqns. 204 (2004), 511-531.
    • (2004) J. Diff. Eqns , vol.204 , pp. 511-531
    • Wu, H.1    Zheng, S.2
  • 17
    • 0003678750 scopus 로고
    • Nonlinear functional analysis and its applications
    • Springer-Verlag, New York
    • E. Zeidler: Nonlinear functional analysis and its applications. Part I. Fixed-point theorems, Springer-Verlag, New York, 1985.
    • (1985) Part I. Fixed-Point Theorems
    • Zeidler, E.1
  • 18
    • 0348197125 scopus 로고    scopus 로고
    • The attractor for a nonlinear reaction-diffusion system with supercritical nonlinearity and its dimension
    • S. Zelik: The attractor for a nonlinear reaction-diffusion system with supercritical nonlinearity and its dimension, Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. 24 (2000), 1-25.
    • (2000) Rend. Accad. Naz. Sci. XL Mem. Mat. Appl , vol.24 , pp. 1-25
    • Zelik, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.