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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 2, Pages 107–112
DOI: https://doi.org/10.4213/faa3862 (Mi faa3862) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

On rotational waves of greatest height on water of finite depth

V. A. Kozlov, E. È. Lokharu

Linköping University, Department of Mathematics
Full-text PDF (546 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa3862
Abstract: In this note we discuss some recent results on extreme steady waves under gravity. They include the existence and regularity theorems for highest waves on finite depth with and without vorticity. Furthermore, we state new results concerning the asymptotic behavior of surface profiles near stagnation points. In particular, we find that the wave profile of an extreme wave is concave near each crest, provided that the vorticity is negative near the surface.
Funding agency Grant number
Swedish Research Council 2017-03837
Received: 06.12.2020
Revised: 05.03.2021
Accepted: 11.03.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 2, Pages 165–169
DOI: https://doi.org/10.1134/S0016266321020088
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. A. Kozlov, E. È. Lokharu, “On rotational waves of greatest height on water of finite depth”, Funktsional. Anal. i Prilozhen., 55:2 (2021), 107–112; Funct. Anal. Appl., 55:2 (2021), 165–169
Citation in format AMSBIB
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\paper On rotational waves of greatest height on water of finite depth
\jour Funktsional. Anal. i Prilozhen.
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\pages 107--112
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Linking options:
  • https://www.mathnet.ru/eng/faa3862
  • https://doi.org/10.4213/faa3862
  • https://www.mathnet.ru/eng/faa/v55/i2/p107
    • This publication is cited in the following 4 articles:
    1. V. Kozlov, “On the first bifurcation of Stokes waves”, Algebra i analiz, 36:2 (2024), 70–92  mathnet
    2. Vladimir Kozlov, “On the first subharmonic bifurcations in a branch of Stokes water waves”, Journal of Differential Equations, 379 (2024), 676  crossref  mathscinet  zmath
    3. V. Kozlov, “The subharmonic bifurcation of Stokes waves on vorticity flow”, Journal of Differential Equations, 361 (2023), 183  crossref  mathscinet  zmath
    4. V. Kozlov, “On loops in water wave branches and monotonicity of water waves”, J. Math. Fluid Mech., 25:1 (2023), 9  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Abstract page:246
    Full-text PDF :65
    References:47
    First page:4
     
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