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Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface. / Martin, J.; Nazarov, S.A.; Taskinen, J.

в: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, № 8, 2015, стр. 859-876.

Результаты исследований: Научные публикации в периодических изданиях › статья

Harvard

Martin, J, Nazarov, SA & Taskinen, J 2015, 'Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface', ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, № 8, стр. 859-876. https://doi.org/10.1002/zamm.201300212

APA

Martin, J., Nazarov, S. A., & Taskinen, J. (2015). Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, (8), 859-876. https://doi.org/10.1002/zamm.201300212

Vancouver

Martin J, Nazarov SA, Taskinen J. Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2015;(8):859-876. https://doi.org/10.1002/zamm.201300212

Author

Martin, J. ; Nazarov, S.A. ; Taskinen, J. / Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface. в: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. 2015 ; № 8. стр. 859-876.

BibTeX

@article{c38cb7e1b44f434aa58aa2d6fd5bdc40,
title = "Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface",
abstract = "{\textcopyright} 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.We show that the linear water wave problem in a bounded liquid domain may have continuous spectrum, if the interface of a two-layer liquid touches the basin walls at zero angle. The reason for this phenomenon is the appearance of cuspidal geometries of the liquid phases. We calculate the exact position of the continuous spectrum. We also discuss the physical background of wave propagation processes, which are enabled by the continuous spectrum. Our approach and methods include constructions of a parametrix for the problem operator and singular Weyl sequences.",
author = "J. Martin and S.A. Nazarov and J. Taskinen",
year = "2015",
doi = "10.1002/zamm.201300212",
language = "English",
pages = "859--876",
journal = "ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik",
issn = "0044-2267",
publisher = "Wiley-Blackwell",
number = "8",

}

RIS

TY - JOUR

T1 - Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface

AU - Martin, J.

AU - Nazarov, S.A.

AU - Taskinen, J.

PY - 2015

Y1 - 2015

N2 - © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.We show that the linear water wave problem in a bounded liquid domain may have continuous spectrum, if the interface of a two-layer liquid touches the basin walls at zero angle. The reason for this phenomenon is the appearance of cuspidal geometries of the liquid phases. We calculate the exact position of the continuous spectrum. We also discuss the physical background of wave propagation processes, which are enabled by the continuous spectrum. Our approach and methods include constructions of a parametrix for the problem operator and singular Weyl sequences.

AB - © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.We show that the linear water wave problem in a bounded liquid domain may have continuous spectrum, if the interface of a two-layer liquid touches the basin walls at zero angle. The reason for this phenomenon is the appearance of cuspidal geometries of the liquid phases. We calculate the exact position of the continuous spectrum. We also discuss the physical background of wave propagation processes, which are enabled by the continuous spectrum. Our approach and methods include constructions of a parametrix for the problem operator and singular Weyl sequences.

U2 - 10.1002/zamm.201300212

DO - 10.1002/zamm.201300212

M3 - Article

SP - 859

EP - 876

JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

SN - 0044-2267

IS - 8

ER -

ID: 4012022