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Volumn 9, Issue 3, 2007, Pages 367-381

Some geometric and analytic properties of solutions of Bernoulli free-boundary problems

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EID: 35648944643     PISSN: 14639963     EISSN: None     Source Type: Journal    
DOI: 10.4171/IFB/169     Document Type: Article
Times cited : (16)

References (13)
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    • On the Stokes conjecture for the wave of extreme form
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    • AMICK, C. J., FRAENKEL, L. E., & TOLAND, J. F. On the Stokes conjecture for the wave of extreme form. Acta Math. 148 (1982), 193-214. Zbl 0495.76021 MR 0666110
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    • AMICK, C.J.1    FRAENKEL, L.E.2    TOLAND, J.F.3
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    • KOOSIS, P. Introduction to Hp Spaces. 2nd ed., Cambridge Univ. Press, Cambridge (1998). Zbl 1024.30001 MR 1669574
    • KOOSIS, P. Introduction to Hp Spaces. 2nd ed., Cambridge Univ. Press, Cambridge (1998). Zbl 1024.30001 MR 1669574
  • 6
    • 0013463858 scopus 로고
    • A proof of the Stokes conjecture in the theory of surface waves
    • in Russian
    • PLOTNIKOV, P. I. A proof of the Stokes conjecture in the theory of surface waves. Dinamika Splosh. Sredy 57 (1982), 41-76 (in Russian);
    • (1982) Dinamika Splosh. Sredy , vol.57 , pp. 41-76
    • PLOTNIKOV, P.I.1
  • 7
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    • Zbl 0522.76017 MR 1883094
    • English transi.: Stud. Appl. Math. 3 (2002), 217-244. Zbl 0522.76017 MR 1883094
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  • 8
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    • Convexity of Stokes waves of extreme form
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    • PLOTNIKOV, P. I., & TOLAND, J. F. Convexity of Stokes waves of extreme form. Arch. Ration. Mech. Anal. 171 (2004), 349-416. Zbl 1064.76017 MR 2038344
    • (2004) Arch. Ration. Mech. Anal , vol.171 , pp. 349-416
    • PLOTNIKOV, P.I.1    TOLAND, J.F.2
  • 9
    • 63449126043 scopus 로고    scopus 로고
    • Bernoulli free-boundary problems
    • to appear;
    • SHARGORODSKY, E., & TOLAND, J. F. Bernoulli free-boundary problems. Mem. Amer. Math. Soc. (2007), to appear; http://www.maths.bath.ac.uk/~jft/Papers/memoir.pdf.
    • (2007) Mem. Amer. Math. Soc
    • SHARGORODSKY, E.1    TOLAND, J.F.2
  • 10
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    • A variational principle for waves of infinite depth
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    • (1970) Arch. Ration. Mech. Anal , vol.39 , pp. 189-205
    • SPIELVOGEL, E.R.1
  • 11
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    • TOLAND, J. F. Stokes waves. Topol. Methods Nonlinear Anal. 7 (1996), 1-48 & 8 (1997), 413-414. Zbl 0897.35067 MR 1422004, 1483638
    • TOLAND, J. F. Stokes waves. Topol. Methods Nonlinear Anal. 7 (1996), 1-48 & 8 (1997), 413-414. Zbl 0897.35067 MR 1422004, 1483638
  • 12
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    • On a pseudo-differential equation for Stokes waves
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    • TOLAND, J. F. On a pseudo-differential equation for Stokes waves. Arch. Ration. Mech. Anal. 162 (2002), 179-189. Zbl 1028.35126 MR 1897380
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    • Singularities of Bernoulli free boundaries
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    • VARVARUCA, E. Singularities of Bernoulli free boundaries, Comm. Partial Differential Equations 31 (2006), 1451-1477. Zbl 1111.35137 MR 2273961
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    • VARVARUCA, E.1


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