On negative eigenvalues of the spectral problem for water waves of highest amplitude

Vladimir Kozlov; Evgeniy Lokharu

doi:10.1016/j.jde.2022.09.022

On negative eigenvalues of the spectral problem for water waves of highest amplitude

Vladimir Kozlov, Evgeniy Lokharu

Matematik (naturvetenskapliga fakulteten)

Linköping University

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains arbitrary large negative eigenvalues and they are simple. Moreover, the asymptotics of such eigenvalues is obtained.

Originalspråk	engelska
Sidor (från-till)	239-281
Antal sidor	43
Tidskrift	Journal of Differential Equations
Volym	342
DOI	https://doi.org/10.1016/j.jde.2022.09.022
Status	Published - 2023 jan. 5

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Matematik

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10.1016/j.jde.2022.09.022

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title = "On negative eigenvalues of the spectral problem for water waves of highest amplitude",

abstract = "We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains arbitrary large negative eigenvalues and they are simple. Moreover, the asymptotics of such eigenvalues is obtained.",

author = "Vladimir Kozlov and Evgeniy Lokharu",

year = "2023",

month = jan,

day = "5",

doi = "10.1016/j.jde.2022.09.022",

language = "English",

volume = "342",

pages = "239--281",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Elsevier",

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TY - JOUR

T1 - On negative eigenvalues of the spectral problem for water waves of highest amplitude

AU - Kozlov, Vladimir

AU - Lokharu, Evgeniy

PY - 2023/1/5

Y1 - 2023/1/5

N2 - We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains arbitrary large negative eigenvalues and they are simple. Moreover, the asymptotics of such eigenvalues is obtained.

AB - We consider a spectral problem associated with steady water waves of extreme form on the free surface of a rotational flow. It is proved that the spectrum of this problem contains arbitrary large negative eigenvalues and they are simple. Moreover, the asymptotics of such eigenvalues is obtained.

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U2 - 10.1016/j.jde.2022.09.022

DO - 10.1016/j.jde.2022.09.022

M3 - Article

AN - SCOPUS:85139279027

VL - 342

SP - 239

EP - 281

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

ER -

On negative eigenvalues of the spectral problem for water waves of highest amplitude

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