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On the existence and evaluation of Stokes phenomena in fluid mechanics

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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On the existence and evaluation of Stokes phenomena in fluid mechanics. / Alexandrakis, N.
In: Asymptotic Analysis, Vol. 129, No. 1, 01.07.2022, p. 113-139.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Alexandrakis, N 2022, 'On the existence and evaluation of Stokes phenomena in fluid mechanics', Asymptotic Analysis, vol. 129, no. 1, pp. 113-139. https://doi.org/10.3233/ASY-211723

APA

Alexandrakis, N. (2022). On the existence and evaluation of Stokes phenomena in fluid mechanics. Asymptotic Analysis, 129(1), 113-139. https://doi.org/10.3233/ASY-211723

Vancouver

Alexandrakis N. On the existence and evaluation of Stokes phenomena in fluid mechanics. Asymptotic Analysis. 2022 Jul 1;129(1):113-139. doi: 10.3233/ASY-211723

Author

Alexandrakis, N. / On the existence and evaluation of Stokes phenomena in fluid mechanics. In: Asymptotic Analysis. 2022 ; Vol. 129, No. 1. pp. 113-139.

Bibtex

@article{2107effd08d7497f86f0911bb7fc7ffd,
title = "On the existence and evaluation of Stokes phenomena in fluid mechanics",
abstract = "A singularly perturbed, high order KdV-type model, which describes localized travelling waves ('solitons') is being considered. We focus on the Inner solution, and detect Stokes phenomena that are crucial as to whether we can obtain a suitable solution. We provide a simple proof that the corresponding Stokes constant is non-zero. Also, we evaluate this splitting constant numerically by using two methods that are induced by the underlying theory.",
keywords = "Stokes phenomenon, Stokes constants, Exponentially small splitting of Separatrices",
author = "N. Alexandrakis",
year = "2022",
month = jul,
day = "1",
doi = "10.3233/ASY-211723",
language = "English",
volume = "129",
pages = "113--139",
journal = "Asymptotic Analysis",
number = "1",

}

RIS

TY - JOUR

T1 - On the existence and evaluation of Stokes phenomena in fluid mechanics

AU - Alexandrakis, N.

PY - 2022/7/1

Y1 - 2022/7/1

N2 - A singularly perturbed, high order KdV-type model, which describes localized travelling waves ('solitons') is being considered. We focus on the Inner solution, and detect Stokes phenomena that are crucial as to whether we can obtain a suitable solution. We provide a simple proof that the corresponding Stokes constant is non-zero. Also, we evaluate this splitting constant numerically by using two methods that are induced by the underlying theory.

AB - A singularly perturbed, high order KdV-type model, which describes localized travelling waves ('solitons') is being considered. We focus on the Inner solution, and detect Stokes phenomena that are crucial as to whether we can obtain a suitable solution. We provide a simple proof that the corresponding Stokes constant is non-zero. Also, we evaluate this splitting constant numerically by using two methods that are induced by the underlying theory.

KW - Stokes phenomenon

KW - Stokes constants

KW - Exponentially small splitting of Separatrices

U2 - 10.3233/ASY-211723

DO - 10.3233/ASY-211723

M3 - Journal article

VL - 129

SP - 113

EP - 139

JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 1

ER -