메뉴 건너뛰기




Volumn 173, Issue 1, 2011, Pages 559-568

Analyticity of periodic traveling free surface water waves with vorticity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 78751610243     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2011.173.1.12     Document Type: Article
Times cited : (452)

References (21)
  • 1
    • 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
  • 2
    • 0001315014 scopus 로고
    • Parabolic equations for curves on surfaces. I. Curves with p-integrable curvature
    • S. Angenent, Parabolic equations for curves on surfaces. I. Curves with p-integrable curvature, Ann. of Math. 132 (1990), 451-483.
    • (1990) Ann. of Math. , vol.132 , pp. 451-483
    • Angenent, S.1
  • 4
    • 33750526877 scopus 로고    scopus 로고
    • The trajectories of particles in Stokes waves
    • A. Constantin, The trajectories of particles in Stokes waves, Invent. Math. 166 (2006), 523-535.
    • (2006) Invent. Math. , vol.166 , pp. 523-535
    • Constantin, A.1
  • 5
    • 36749053040 scopus 로고    scopus 로고
    • Symmetry of steady periodic gravity water waves with vorticity
    • A. Constantin, M. Ehrnström, and E. Wahlén, Symmetry of steady periodic gravity water waves with vorticity, Duke Math. J. 140 (2007), 591-603.
    • (2007) Duke Math. J , vol.140 , pp. 591-603
    • Constantin, A.1    Ehrnström, M.2    Wahlén, E.3
  • 6
    • 1242319077 scopus 로고    scopus 로고
    • Exact steady periodic water waves with vorticity
    • A. Constantin and W. Strauss, Exact steady periodic water waves with vorticity, Comm. Pure Appl. Math. 57 (2004), 481-527.
    • (2004) Comm. Pure Appl. Math. , vol.57 , pp. 481-527
    • Constantin, A.1    Strauss, W.2
  • 9
    • 1642309095 scopus 로고    scopus 로고
    • The origins of water wave theory
    • A. D. D. Craik, The origins of water wave theory, Ann. Rev. Fluid Mech. 36 (2004), 1-28.
    • (2004) Ann. Rev. Fluid Mech. , vol.36 , pp. 1-28
    • Craik, A.D.D.1
  • 10
    • 0039470279 scopus 로고    scopus 로고
    • Analyticity of the interface in a free boundary problem
    • J. Escher and G. Simonett, Analyticity of the interface in a free boundary problem, Math. Ann. 305 (1996), 439-459.
    • (1996) Math. Ann. , vol.305 , pp. 439-459
    • Escher, J.1    Simonett, G.2
  • 14
    • 51249181060 scopus 로고
    • Regularity in elliptic free boundary problems
    • D. Kinderlehrer, L. Nirenberg, and J. Spruck, Regularity in elliptic free boundary problems, J. Analyse Math. 34 (1978), 86-119 (1979).
    • (1979) J. Analyse Math , vol.34 , Issue.1978 , pp. 86-119
    • Kinderlehrer, D.1    Nirenberg, L.2    Spruck, J.3
  • 15
    • 47949088816 scopus 로고    scopus 로고
    • Strauss, Effect of vorticity on steady water waves
    • J. Ko and W. Strauss, Effect of vorticity on steady water waves, J. Fluid Mech. 608 (2008), 197-215.
    • (2008) J. Fluid Mech , vol.608 , pp. 197-215
    • Ko, J.1    Strauss, W.2
  • 16
    • 38849197027 scopus 로고    scopus 로고
    • Large-amplitude steady rotational water waves
    • J. Ko and W. Strauss, Large-amplitude steady rotational water waves, Eur. J. Mech. B Fluids 27 (2008), 96-109.
    • (2008) Eur. J. Mech. B Fluids , vol.27 , pp. 96-109
    • Ko, J.1    Strauss, W.2
  • 17
    • 84968518387 scopus 로고
    • A note on harmonic functions and a hydrodynamical application
    • H. Lewy, A note on harmonic functions and a hydrodynamical application, Proc. Amer. Math. Soc. 3 (1952), 111-113.
    • (1952) Proc. Amer. Math. Soc. , vol.3 , pp. 111-113
    • Lewy, H.1
  • 18
    • 0017889140 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • J. Lighthill, Waves in Fluids, Cambridge Univ. Press, Cambridge, 1978.
    • (1978) Waves in Fluids
    • Lighthill, J.1
  • 19
    • 84972192041 scopus 로고
    • Steep, steady surface waves on water of finite depth with constant vorticity
    • A. F. Teles da Silva and D. H. Peregrine, Steep, steady surface waves on water of finite depth with constant vorticity, J. Fluid Mech. 195 (1988), 281-302.
    • (1988) J. Fluid Mech. , vol.195 , pp. 281-302
    • Teles Da Silva, A.F.1    Peregrine, D.H.2
  • 21
    • 33748882598 scopus 로고    scopus 로고
    • Singularities of Bernoulli free boundaries
    • E. Varvaruca, Singularities of Bernoulli free boundaries, Comm. Partial Differential Equations 31 (2006), 1451-1477.
    • (2006) Comm. Partial Differential Equations , vol.31 , pp. 1451-1477
    • Varvaruca, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.