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On exponential decay with depth for irrotational water waves.

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Title: On exponential decay with depth for irrotational water waves.
Authors: Lokharu, Evgeniy1 (AUTHOR) evgeniy.lokharu@math.lu.se
Source: Journal of Fluid Mechanics. 5/10/2026, Vol. 1034, p1-9. 9p.
Subjects: Gravity waves, Stream function, Exponential decay law, Potential flow, Nonlinear waves, Flow velocity, Mathematical bounds
Abstract: We consider two-dimensional irrotational steady gravity waves and derive new explicit analytical bounds for the velocity field and the slope of the free surface. Using an auxiliary function tailored to the streamfunction formulation, we obtain an explicit exponential decay estimate which is optimal for linear waves. The same method yields a new slope estimate that improves existing bounds in the moderate-amplitude regime. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 193952161
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
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  Data: On exponential decay with depth for irrotational water waves.
– Name: Author
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  Data: <searchLink fieldCode="AR" term="%22Lokharu%2C+Evgeniy%22">Lokharu, Evgeniy</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> evgeniy.lokharu@math.lu.se</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Fluid+Mechanics%22">Journal of Fluid Mechanics</searchLink>. 5/10/2026, Vol. 1034, p1-9. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Gravity+waves%22">Gravity waves</searchLink><br /><searchLink fieldCode="DE" term="%22Stream+function%22">Stream function</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+decay+law%22">Exponential decay law</searchLink><br /><searchLink fieldCode="DE" term="%22Potential+flow%22">Potential flow</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+waves%22">Nonlinear waves</searchLink><br /><searchLink fieldCode="DE" term="%22Flow+velocity%22">Flow velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+bounds%22">Mathematical bounds</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We consider two-dimensional irrotational steady gravity waves and derive new explicit analytical bounds for the velocity field and the slope of the free surface. Using an auxiliary function tailored to the streamfunction formulation, we obtain an explicit exponential decay estimate which is optimal for linear waves. The same method yields a new slope estimate that improves existing bounds in the moderate-amplitude regime. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Fluid Mechanics is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1017/jfm.2026.11478
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
        StartPage: 1
    Subjects:
      – SubjectFull: Gravity waves
        Type: general
      – SubjectFull: Stream function
        Type: general
      – SubjectFull: Exponential decay law
        Type: general
      – SubjectFull: Potential flow
        Type: general
      – SubjectFull: Nonlinear waves
        Type: general
      – SubjectFull: Flow velocity
        Type: general
      – SubjectFull: Mathematical bounds
        Type: general
    Titles:
      – TitleFull: On exponential decay with depth for irrotational water waves.
        Type: main
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            NameFull: Lokharu, Evgeniy
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          Dates:
            – D: 10
              M: 05
              Text: 5/10/2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 00221120
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            – Type: volume
              Value: 1034
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            – TitleFull: Journal of Fluid Mechanics
              Type: main
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