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Volumn 13, Issue 3, 2001, Pages 377-403

Variatonal formulation for the lubrication approximation of the Hele-Shaw flow

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EID: 0346491845     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260000077     Document Type: Article
Times cited : (88)

References (16)
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  • 5
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    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 375-417
    • Brenier, Y.1
  • 6
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    • Allocation maps with general cost function
    • Partial differential equations and applications, P. Marcellini, G. Talenti and E. Visintini, eds. Marcel Dekker Inc., New York
    • L.A. Caffarelli, Allocation maps with general cost function, in Partial differential equations and applications, P. Marcellini, G. Talenti and E. Visintini, eds. Lecture Notes in Pure and Applied Mathematics 177, Marcel Dekker Inc., New York (1996), 29-35
    • (1996) Lecture Notes in Pure and Applied Mathematics , vol.177 , pp. 29-35
    • Caffarelli, L.A.1
  • 10
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    • A class of Wasserstein metrics for probability distributions
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  • 11
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    • The variational formulation of the Fokker-Plank equation
    • R. Jordan, D. Kinderleher and F. Otto, The variational formulation of the Fokker-Plank equation, SIAM J. Math. Anal. 29 (1998), 1-17
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 1-17
    • Jordan, R.1    Kinderleher, D.2    Otto, F.3
  • 12
    • 0031480080 scopus 로고    scopus 로고
    • Long-scale evolution of thin liquid films
    • A. Oron, S.H. Davis and S.G. Bankoff, Long-scale evolution of thin liquid films, Rev. Mod. Phys. 69 (1997), 931-980
    • (1997) Rev. Mod. Phys. , vol.69 , pp. 931-980
    • Oron, A.1    Davis, S.H.2    Bankoff, S.G.3
  • 13
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    • Dynamics of labyrinthine pattern formation in magnetic fluids: A mean-field theory
    • F. Otto, Dynamics of labyrinthine pattern formation in magnetic fluids: a mean-field theory, Arch. Rat. Mech. Anal. 141 (1998), 63-103
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  • 14
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    • Lubrication approximation with prescribed nonzero contact angle: An existence result
    • F. Otto, Lubrication approximation with prescribed nonzero contact angle: An existence result, Comm. Partial Differential Equations 23 (1998), 2077-2161
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  • 15
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    • The geometry of dissipative evolution equations: The porous medium equation, Preprint MPI-MIS no. 8/1999
    • to appear
    • F. Otto, The geometry of dissipative evolution equations: the porous medium equation, Preprint MPI-MIS no. 8/1999, to appear in Comm. Partial Differential Equations
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