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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
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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 -