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Volumn 8, Issue 1, 2006, Pages 99-119

Scherk-type capillary graphs

Author keywords

Capillarity; Contact angle; Free surface; Mean curvature; Minimal surface; Wedge domain; Weierstrass representation

Indexed keywords

CAPILLARITY; CAPILLARY FLOW; CONTACT ANGLE; NUMERICAL METHODS;

EID: 33645112532     PISSN: 14226928     EISSN: 14226952     Source Type: Journal    
DOI: 10.1007/s00021-004-0140-8     Document Type: Article
Times cited : (10)

References (28)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • R. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
  • 3
    • 0030350566 scopus 로고    scopus 로고
    • On cylindrical container sections for a capillary free-surface experiment
    • A. CHEN, P. CONCUS, R. FINN and M. WEISLOGEL, On cylindrical container sections for a capillary free-surface experiment, Microgravity sci. technol. IX (1997), 169-174.
    • (1997) Microgravity Sci. Technol. , vol.9 , pp. 169-174
    • Chen, A.1    Concus, P.2    Finn, R.3    Weislogel, M.4
  • 4
    • 0009919065 scopus 로고
    • On capillary free surfaces in a gravitational field
    • P. CONCUS and R. FINN, On capillary free surfaces in a gravitational field, Acta Math. 132 (1974), 207-223.
    • (1974) Acta Math. , vol.132 , pp. 207-223
    • Concus, P.1    Finn, R.2
  • 5
    • 0028467866 scopus 로고
    • Capillary surfaces on a wedge - Differing contact angles
    • P. CONCUS and R. FINN, Capillary surfaces on a wedge - differing contact angles, Microgravity sci. technol. VII 2 (1994), 152-155.
    • (1994) Microgravity Sci. Technol. , vol.7 , Issue.2 , pp. 152-155
    • Concus, P.1    Finn, R.2
  • 6
    • 0030553395 scopus 로고    scopus 로고
    • Capillary wedges revisited
    • P. CONCUS and R. FINN, Capillary wedges revisited, Siam J. Math. Anal. 27 1 (1996), 56-69.
    • (1996) Siam J. Math. Anal. , vol.27 , Issue.1 , pp. 56-69
    • Concus, P.1    Finn, R.2
  • 8
    • 0012943242 scopus 로고    scopus 로고
    • Liquid bridges, edge blobs, and Scherk-type capillary surfaces
    • P. CONCUS, R. FINN and J. MCCUAN, Liquid bridges, edge blobs, and Scherk-type capillary surfaces, Indiana Univ. Math. J. 50 1 (2001), 411-441.
    • (2001) Indiana Univ. Math. J. , vol.50 , Issue.1 , pp. 411-441
    • Concus, P.1    Finn, R.2    Mccuan, J.3
  • 9
    • 0013038108 scopus 로고    scopus 로고
    • Measurement of critical contact angle in a microgravity space experiment
    • P. CONCUS, R. FINN and M. WEISLOGEL, Measurement of critical contact angle in a microgravity space experiment, Exp. Fluids. 28 (2000), 197-205.
    • (2000) Exp. Fluids. , vol.28 , pp. 197-205
    • Concus, P.1    Finn, R.2    Weislogel, M.3
  • 11
    • 0038650541 scopus 로고
    • Parabolic flight experiments on fluid surfaces and wetting
    • R. GROSSBACK, D. LANGBEIN and W. HEIDE, Parabolic flight experiments on fluid surfaces and wetting, Microgravity sci. technol. II (1990), 198-211.
    • (1990) Microgravity Sci. Technol. , vol.2 , pp. 198-211
    • Grossback, R.1    Langbein, D.2    Heide, W.3
  • 13
    • 84963036509 scopus 로고
    • Moon surfaces, and boundary behavior of capillary surfaces for perfect wetting and nonwetting
    • R. FINN, Moon surfaces, and boundary behavior of capillary surfaces for perfect wetting and nonwetting, Proc. London Math. Soc. (3) 57 3 (1988), 542-576.
    • (1988) Proc. London Math. Soc. (3) , vol.57 , Issue.3 , pp. 542-576
    • Finn, R.1
  • 14
    • 0039113915 scopus 로고    scopus 로고
    • Local and global existence criteria for capillary surfaces in wedges
    • R. FINN, Local and global existence criteria for capillary surfaces in wedges, Calc. Var. Partial Differential Equations 4 (4) (1996), 305-322.
    • (1996) Calc. Var. Partial Differential Equations , vol.4 , Issue.4 , pp. 305-322
    • Finn, R.1
  • 15
    • 0033473245 scopus 로고    scopus 로고
    • C-singular solutions of the capillary problem
    • R. FINN and R. NEEL, C-singular solutions of the capillary problem, J. Reine Angew. Math. 512 (1999), 1-25.
    • (1999) J. Reine Angew. Math. , vol.512 , pp. 1-25
    • Finn, R.1    Neel, R.2
  • 16
    • 0348129637 scopus 로고    scopus 로고
    • Gauss map, topology, and convexity of hypersurfaces with nonvanishing curvature
    • M. GHOMI, Gauss map, topology, and convexity of hypersurfaces with nonvanishing curvature, Topology 41 (2002), 107-117.
    • (2002) Topology , vol.41 , pp. 107-117
    • Ghomi, M.1
  • 17
    • 0000942392 scopus 로고
    • Generalized solutions for the mean curvature equation
    • E. GIUSTI, Generalized solutions for the mean curvature equation, Pacific J. Math. 88 (2) (1980), 297-321.
    • (1980) Pacific J. Math. , vol.88 , Issue.2 , pp. 297-321
    • Giusti, E.1
  • 18
    • 0002179780 scopus 로고    scopus 로고
    • Complete embedded minimal surfaces of finite total curvature
    • Springer-Verlag, Berlin
    • D. HOFFMAN and H. KARCHER, Complete Embedded Minimal Surfaces of Finite Total Curvature, in: Geometry V, Encyclopaedia, Math. Sci. vol. 90, 5-93, Springer-Verlag, Berlin, 1997.
    • (1997) Geometry V, Encyclopaedia, Math. Sci. , vol.90 , pp. 5-93
    • Hoffman, D.1    Karcher, H.2
  • 20
    • 84972574044 scopus 로고
    • Holder continuity of the gradient at a corner for the capillary problem and related results
    • G. LIEBERMAN, Holder continuity of the gradient at a corner for the capillary problem and related results, Pacific J. Math. 133 (1988), 115-135.
    • (1988) Pacific J. Math. , vol.133 , pp. 115-135
    • Lieberman, G.1
  • 21
    • 0040000753 scopus 로고    scopus 로고
    • Existence and behavior of the radial limits of a bounded capillary surface at a corner
    • K. Lancaster and D. Siegel, Existence and behavior of the radial limits of a bounded capillary surface at a corner, Pacific J. Math. 176 (1) (1996), 165-194.
    • (1996) Pacific J. Math. , vol.176 , Issue.1 , pp. 165-194
    • Lancaster, K.1    Siegel, D.2
  • 22
    • 0040574358 scopus 로고
    • On capillary free surfaces without gravity
    • E. MIERSEMANN, On capillary free surfaces without gravity, Z. Anal. Anwendungen 4 (1985), 429-436.
    • (1985) Z. Anal. Anwendungen , vol.4 , pp. 429-436
    • Miersemann, E.1
  • 24
    • 0030205401 scopus 로고    scopus 로고
    • Capillary surfaces with different contact angles in a corner
    • H. D. MITTELMANN and A. ZHU, Capillary surfaces with different contact angles in a corner, Microgravity sci. technol. IX (1) (1996), 22-27.
    • (1996) Microgravity Sci. Technol. , vol.9 , Issue.1 , pp. 22-27
    • Mittelmann, H.D.1    Zhu, A.2
  • 27
    • 84972505277 scopus 로고
    • Height estimates for capillary surfaces
    • D. SIEGEL, Height estimates for capillary surfaces, Pacific J. Math. 88 (2) (1980), 471-515.
    • (1980) Pacific J. Math. , vol.88 , Issue.2 , pp. 471-515
    • Siegel, D.1
  • 28
    • 84972552482 scopus 로고
    • Regularity of capillary surfaces over domains with corners: Borderline case
    • L.-F. TAM, Regularity of capillary surfaces over domains with corners: Borderline case, Pacific J. Math. 124 (1986), 469-482.
    • (1986) Pacific J. Math. , vol.124 , pp. 469-482
    • Tam, L.-F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.