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Volumn 20, Issue 3, 2013, Pages 539-555

Existence and stability of solutions for a strongly coupled system modelling thin fluid films

Author keywords

Degenerate system; Stability; Strong solutions; Strongly coupled; Thin film

Indexed keywords


EID: 84878411593     PISSN: 10219722     EISSN: 14209004     Source Type: Journal    
DOI: 10.1007/s00030-012-0166-1     Document Type: Article
Times cited : (18)

References (23)
  • 2
    • 0001835099 scopus 로고
    • Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
    • In: Schmeisser, H., Triebel, H. (eds.), Teubner, Stuttgart
    • Amann, H.: Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. In: Schmeisser, H., Triebel, H. (eds.) Function Spaces, Differential Operators and Nonlinear Analysis. Teubner-Texte zur Math., 133, pp 9-126. Teubner, Stuttgart (1993).
    • (1993) Function Spaces, Differential Operators and Nonlinear Analysis. Teubner-Texte zur Math. , vol.133 , pp. 9-126
    • Amann, H.1
  • 3
    • 0039748566 scopus 로고
    • The lubrication approximation for thin viscous films: the moving contact line with a porous media cut-off of van der Waals interactions
    • Bertozzi A. L., Pugh M.: The lubrication approximation for thin viscous films: the moving contact line with a porous media cut-off of van der Waals interactions. Nonlinearity 7, 1535-1564 (1994).
    • (1994) Nonlinearity , vol.7 , pp. 1535-1564
    • Bertozzi, A.L.1    Pugh, M.2
  • 4
    • 79960641120 scopus 로고    scopus 로고
    • Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
    • Escher J., Laurençot Ph., Matioc B.-V.: Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media. Ann. Inst. H. Poincaré Anal. Non Linéaire 28(4), 583-598 (2011).
    • (2011) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.28 , Issue.4 , pp. 583-598
    • Escher, J.1    Laurençot, P.2    Matioc, B.-V.3
  • 5
    • 84856449541 scopus 로고    scopus 로고
    • Thin film equations with soluble surfactant and gravity: modeling and stability of steady states
    • Escher J., Hillairet M., Laurençot P., Walker C.: Thin film equations with soluble surfactant and gravity: modeling and stability of steady states. Math. Nachr. 285(2-3), 210-222 (2012).
    • (2012) Math. Nachr. , vol.285 , Issue.2-3 , pp. 210-222
    • Escher, J.1    Hillairet, M.2    Laurençot, P.3    Walker, C.4
  • 6
    • 79960623276 scopus 로고    scopus 로고
    • Modelling and analysis of the Muskat problem for thin fluid layers
    • doi: 10. 1007/s00021-011-0053-2
    • Escher, J., Matioc, A.-V., Matioc, B.-V.: Modelling and analysis of the Muskat problem for thin fluid layers. J. Math. Fluid Mech. doi: 10. 1007/s00021-011-0053-2.
    • J. Math. Fluid Mech.
    • Escher, J.1    Matioc, A.-V.2    Matioc, B.-V.3
  • 7
    • 84858405608 scopus 로고    scopus 로고
    • A generalised Rayleigh-Taylor condition for the Muskat problem
    • Escher J., Matioc A.-V., Matioc B.-V.: A generalised Rayleigh-Taylor condition for the Muskat problem. Nonlinearity 25, 73-92 (2012).
    • (2012) Nonlinearity , vol.25 , pp. 73-92
    • Escher, J.1    Matioc, A.-V.2    Matioc, B.-V.3
  • 8
    • 0001025274 scopus 로고    scopus 로고
    • A center manifold analysis for the Mullins-Sekerka model
    • Escher J., Simonett G.: A center manifold analysis for the Mullins-Sekerka model. J. Differ. Equ. 143, 267-292 (1998).
    • (1998) J. Differ. Equ. , vol.143 , pp. 267-292
    • Escher, J.1    Simonett, G.2
  • 9
    • 52049122591 scopus 로고    scopus 로고
    • A justification for the thin film approximation of Stokes flow with surface tension
    • Günther M., Prokert G.: A justification for the thin film approximation of Stokes flow with surface tension. J. Differ. Equ. 245, 2802-2845 (2008).
    • (2008) J. Differ. Equ. , vol.245 , pp. 2802-2845
    • Günther, M.1    Prokert, G.2
  • 10
    • 0042859866 scopus 로고    scopus 로고
    • A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane
    • Giacomelli L.: A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane. Appl. Math. Lett. 12(8), 107-111 (1999).
    • (1999) Appl. Math. Lett. , vol.12 , Issue.8 , pp. 107-111
    • Giacomelli, L.1
  • 13
    • 84878416780 scopus 로고    scopus 로고
    • Nonnegative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity
    • (to appear)
    • Matioc, B.-V.: Nonnegative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity. Proc. Roy. Soc. Edinburgh Sect. A (to appear).
    • Proc. Roy. Soc. Edinburgh Sect. A
    • Matioc, B.-V.1
  • 14
    • 84878409498 scopus 로고    scopus 로고
    • Hele-Shaw flow in thin threads: a rigorous limit result
    • (to appear)
    • Matioc, B.-V., Prokert, G.: Hele-Shaw flow in thin threads: a rigorous limit result. Interfaces Free Bound. (to appear).
    • Interfaces Free Bound
    • Matioc, B.-V.1    Prokert, G.2
  • 16
    • 0031480080 scopus 로고    scopus 로고
    • Long-Scale Evolution of Thin Liquid Films
    • Oron A., Davis S. H., Bankoff G.: Long-Scale Evolution of Thin Liquid Films. Rev. Mod. Phys. 69(3), 931-980 (1997).
    • (1997) Rev. Mod. Phys. , vol.69 , Issue.3 , pp. 931-980
    • Oron, A.1    Davis, S.H.2    Bankoff, G.3
  • 20
    • 33745860089 scopus 로고    scopus 로고
    • Singular Cauchy problem for the equation of flow of thin viscous films with nonlinear convection
    • Taranets R. M., Shishkov A. E.: Singular Cauchy problem for the equation of flow of thin viscous films with nonlinear convection. Ukrainian Math. J. 58(2), 280-303 (2006).
    • (2006) Ukrainian Math. J. , vol.58 , Issue.2 , pp. 280-303
    • Taranets, R.M.1    Shishkov, A.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.