메뉴 건너뛰기




Volumn 29, Issue 6, 2012, Pages 861-885

The Stokes conjecture for waves with vorticity

Author keywords

[No Author keywords available]

Indexed keywords

SURFACE WATERS; SURFACES;

EID: 84869213488     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2012.05.001     Document Type: Article
Times cited : (39)

References (25)
  • 1
    • 0042759089 scopus 로고    scopus 로고
    • Almgren's Big Regularity Paper: Q-Valued Functions Minimizing Dirichlet's Integral and the Regularity of Area-Minimizing Rectifiable Currents up to Codimension 2
    • World Scientific Publishing Co. Inc. River Edge, NJ with a preface by J.E. Taylor and V. Scheffer
    • F.J. Almgren Jr. Almgren's Big Regularity Paper: Q-Valued Functions Minimizing Dirichlet's Integral and the Regularity of Area-Minimizing Rectifiable Currents up to Codimension 2 World Scientific Monograph Series in Mathematics vol. 1 2000 World Scientific Publishing Co. Inc. River Edge, NJ with a preface by J.E. Taylor and V. Scheffer
    • (2000) World Scientific Monograph Series in Mathematics , vol.1 VOL.
    • Almgren, Jr.F.J.1
  • 2
    • 33845404914 scopus 로고
    • Existence and regularity for a minimum problem with free boundary
    • H.W. Alt, and L.A. Caffarelli Existence and regularity for a minimum problem with free boundary J. Reine Angew. Math. 325 1981 105 144
    • (1981) J. Reine Angew. Math. , vol.325 , pp. 105-144
    • Alt, H.W.1    Caffarelli, L.A.2
  • 3
    • 0000166670 scopus 로고
    • On the Stokes conjecture for the wave of extreme form
    • C.J. Amick, L.E. Fraenkel, and J.F. Toland On the Stokes conjecture for the wave of extreme form Acta Math. 148 1982 193 214
    • (1982) Acta Math. , vol.148 , pp. 193-214
    • Amick, C.J.1    Fraenkel, L.E.2    Toland, J.F.3
  • 4
    • 1242319077 scopus 로고    scopus 로고
    • Exact steady periodic water waves with vorticity
    • Adrian Constantin, and Walter Strauss Exact steady periodic water waves with vorticity Comm. Pure Appl. Math. 57 4 2004 481 527
    • (2004) Comm. Pure Appl. Math. , vol.57 , Issue.4 , pp. 481-527
    • Constantin, A.1    Strauss, W.2
  • 5
    • 79959402943 scopus 로고    scopus 로고
    • Free boundary regularity for a problem with right hand side
    • Daniela de Silva Free boundary regularity for a problem with right hand side Interfaces Free Bound. 13 2011 223 238
    • (2011) Interfaces Free Bound. , vol.13 , pp. 223-238
    • De Silva, D.1
  • 6
    • 0005069101 scopus 로고
    • Sur la détermination rigoreuse des ondes permanentes périodiques d'ampleur finie
    • M.-L. Dubreil-Jacotin Sur la détermination rigoreuse des ondes permanentes périodiques d'ampleur finie J. Math. Pures Appl. 13 1934 217 291
    • (1934) J. Math. Pures Appl. , vol.13 , pp. 217-291
    • Dubreil-Jacotin, M.-L.1
  • 7
    • 84968518816 scopus 로고
    • Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity
    • L.C. Evans, and S. Müller Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity J. Amer. Math. Soc. 7 1 1994 199 219
    • (1994) J. Amer. Math. Soc. , vol.7 , Issue.1 , pp. 199-219
    • Evans, L.C.1    Müller, S.2
  • 8
    • 0003285448 scopus 로고
    • Weak convergence methods for nonlinear partial differential equations
    • published for the Conference Board of the Mathematical Sciences, Washington, DC
    • Lawrence C. Evans Weak convergence methods for nonlinear partial differential equations CBMS Regional Conference Series in Mathematics vol. 74 1990 published for the Conference Board of the Mathematical Sciences, Washington, DC
    • (1990) CBMS Regional Conference Series in Mathematics , vol.74 VOL.
    • Evans, L.C.1
  • 10
    • 0037497868 scopus 로고
    • Abhand. Koen. Boehmischen Gesel. Wiss. Prague
    • F. Gerstner Theorie der Wellen 1802 Abhand. Koen. Boehmischen Gesel. Wiss. Prague
    • (1802) Theorie der Wellen
    • Gerstner, F.1
  • 11
    • 0003259059 scopus 로고
    • Elliptic Partial Differential Equations of Second Order
    • second edition Fundamental Principles of Mathematical Sciences Springer-Verlag Berlin
    • David Gilbarg, and Neil S. Trudinger Elliptic Partial Differential Equations of Second Order second edition Grundlehren der Mathematischen Wissenschaften Fundamental Principles of Mathematical Sciences vol. 224 1983 Springer-Verlag Berlin
    • (1983) Grundlehren der Mathematischen Wissenschaften , vol.224 VOL.
    • Gilbarg, D.1    Trudinger, N.S.2
  • 12
    • 0003343498 scopus 로고
    • Minimal Surfaces and Functions of Bounded Variation
    • Birkhäuser Verlag Basel
    • E. Giusti Minimal Surfaces and Functions of Bounded Variation Monographs in Mathematics vol. 80 1984 Birkhäuser Verlag Basel
    • (1984) Monographs in Mathematics , vol.80 VOL.
    • Giusti, E.1
  • 13
    • 84968494930 scopus 로고
    • On the boundary point principle for elliptic equations in the plane
    • J.K. Oddson On the boundary point principle for elliptic equations in the plane Bull. Amer. Math. Soc. 74 1968 666 670
    • (1968) Bull. Amer. Math. Soc. , vol.74 , pp. 666-670
    • Oddson, J.K.1
  • 14
    • 51249164666 scopus 로고
    • Partial regularity for weak solutions of a nonlinear elliptic equation
    • F. Pacard Partial regularity for weak solutions of a nonlinear elliptic equation Manuscripta Math. 79 2 1993 161 172
    • (1993) Manuscripta Math. , vol.79 , Issue.2 , pp. 161-172
    • Pacard, F.1
  • 15
    • 0036487479 scopus 로고    scopus 로고
    • Proof of the Stokes conjecture in the theory of surface waves
    • translated from Dinamika Sploshn. Sredy 57 1982 41 76 [MR0752600 (85f:76036)]
    • P.I. Plotnikov Proof of the Stokes conjecture in the theory of surface waves Stud. Appl. Math. 108 2 2002 217 244 translated from Dinamika Sploshn. Sredy 57 1982 41 76 [MR0752600 (85f:76036)]
    • (2002) Stud. Appl. Math. , vol.108 , Issue.2 , pp. 217-244
    • Plotnikov, P.I.1
  • 16
    • 0010118943 scopus 로고
    • A monotonicity formula for Yang-Mills fields
    • P. Price A monotonicity formula for Yang-Mills fields Manuscripta Math. 43 2-3 1983 131 166
    • (1983) Manuscripta Math. , vol.43 , Issue.23 , pp. 131-166
    • Price, P.1
  • 18
    • 0002530417 scopus 로고
    • Analytic aspects of the harmonic map problem
    • Berkeley, CA, 1983 Math. Sci. Res. Inst. Publ. Springer New York
    • R.M. Schoen Analytic aspects of the harmonic map problem Seminar on Nonlinear Partial Differential Equations Berkeley, CA, 1983 Math. Sci. Res. Inst. Publ. vol. 2 1984 Springer New York 321 358
    • (1984) Seminar on Nonlinear Partial Differential Equations , vol.2 VOL. , pp. 321-358
    • Schoen, R.M.1
  • 19
    • 0000339396 scopus 로고
    • Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form
    • Cambridge University Press Cambridge
    • G.G. Stokes Considerations relative to the greatest height of oscillatory irrotational waves which can be propagated without change of form Math. and Phys. Papers vol. 1 1880 Cambridge University Press Cambridge 225 228
    • (1880) Math. and Phys. Papers , vol.1 VOL. , pp. 225-228
    • Stokes, G.G.1
  • 21
    • 33748882598 scopus 로고    scopus 로고
    • Singularities of Bernoulli free boundaries
    • E. Varvaruca Singularities of Bernoulli free boundaries Comm. Partial Differential Equations 31 10-12 2006 1451 1477
    • (2006) Comm. Partial Differential Equations , vol.31 , Issue.1012 , pp. 1451-1477
    • Varvaruca, E.1
  • 22
    • 63449141066 scopus 로고    scopus 로고
    • On the existence of extreme waves and the Stokes conjecture with vorticity
    • E. Varvaruca On the existence of extreme waves and the Stokes conjecture with vorticity J. Differential Equations 246 10 2009 4043 4076
    • (2009) J. Differential Equations , vol.246 , Issue.10 , pp. 4043-4076
    • Varvaruca, E.1
  • 23
    • 79958782018 scopus 로고    scopus 로고
    • A geometric approach to generalized Stokes conjectures
    • E. Varvaruca, and G.S. Weiss A geometric approach to generalized Stokes conjectures Acta Math. 206 2011 363 403
    • (2011) Acta Math. , vol.206 , pp. 363-403
    • Varvaruca, E.1    Weiss, G.S.2
  • 24
    • 0000747784 scopus 로고    scopus 로고
    • Partial regularity for weak solutions of an elliptic free boundary problem
    • G.S. Weiss Partial regularity for weak solutions of an elliptic free boundary problem Comm. Partial Differential Equations 23 3-4 1998 439 455
    • (1998) Comm. Partial Differential Equations , vol.23 , Issue.34 , pp. 439-455
    • Weiss, G.S.1
  • 25
    • 3042521971 scopus 로고    scopus 로고
    • Partial regularity for a minimum problem with free boundary
    • G.S. Weiss Partial regularity for a minimum problem with free boundary J. Geom. Anal. 9 2 1999 317 326
    • (1999) J. Geom. Anal. , vol.9 , Issue.2 , pp. 317-326
    • Weiss, G.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.