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Journal of Differential Equations
Volumn 241, Issue 2, 2007, Pages 279-292
Asymptotic equipartition and long time behavior of solutions of a thin-film equation
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EID: 34548441204     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2007.07.005     Document Type: Article
Times cited : (32)
References (8)
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    • Bernis, F.1
  • 2
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    • Source type solutions of a fourth order nonlinear degenerate parabolic equation
    • Bernis F., Peletier L.A., and Williams S.M. Source type solutions of a fourth order nonlinear degenerate parabolic equation. Nonlinear Anal. 18 (1992) 217-234
    • (1992) Nonlinear Anal. , vol.18 , pp. 217-234
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  • 3
    • 0000019424 scopus 로고    scopus 로고
    • The mathematics of moving contact lines in thin liquid films
    • Bertozzi A. The mathematics of moving contact lines in thin liquid films. Notices Amer. Math. Soc. 45 (1998) 689-697
    • (1998) Notices Amer. Math. Soc. , vol.45 , pp. 689-697
    • Bertozzi, A.1
  • 4
    • 0039623018 scopus 로고    scopus 로고
    • Finite-time blow-up of solutions of some long-wave unstable thin film equations
    • Bertozzi A., and Pugh M. Finite-time blow-up of solutions of some long-wave unstable thin film equations. Indiana Univ. Math. J. 49 (2000) 1323-1366
    • (2000) Indiana Univ. Math. J. , vol.49 , pp. 1323-1366
    • Bertozzi, A.1    Pugh, M.2
  • 5
    • 18044401055 scopus 로고    scopus 로고
    • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
    • Carrillo J.A., Jüngel A., Markowich P.A., Toscani G., and Unterreiter A. Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Monatsh. Math. 133 (2001) 1-82
    • (2001) Monatsh. Math. , vol.133 , pp. 1-82
    • Carrillo, J.A.1    Jüngel, A.2    Markowich, P.A.3    Toscani, G.4    Unterreiter, A.5
  • 6
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    • Long-time asymptotics for strong solutions of the thin film equation
    • Carrillo J.A., and Toscani G. Long-time asymptotics for strong solutions of the thin film equation. Comm. Math. Phys. 225 (2002) 551-571
    • (2002) Comm. Math. Phys. , vol.225 , pp. 551-571
    • Carrillo, J.A.1    Toscani, G.2
  • 7
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    • Thin films with high surface tension
    • Myers T.G. Thin films with high surface tension. SIAM Rev. 40 3 (1998) 441-461
    • (1998) SIAM Rev. , vol.40 , Issue.3 , pp. 441-461
    • Myers, T.G.1
  • 8
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    • High-order nonlinear diffusion
    • Smyth N.F., and Hill J.M. High-order nonlinear diffusion. IMA J. Appl. Math. 40 (1988) 73-86
    • (1988) IMA J. Appl. Math. , vol.40 , pp. 73-86
    • Smyth, N.F.1    Hill, J.M.2

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