Interpolating function and Stokes phenomena

On the existence and evaluation of Stokes phenomena in fluid mechanics

Asymptotic Analysis ◽

10.3233/asy-211723 ◽

2021 ◽

pp. 1-27

Author(s):

Nik Alexandrakis

Keyword(s):

Fluid Mechanics ◽

Simple Proof ◽

Travelling Waves ◽

High Order ◽

Singularly Perturbed ◽

Type Model ◽

Underlying Theory ◽

Stokes Constant ◽

Splitting Constant ◽

Stokes Phenomena

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.

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Stokes phenomena and riemann-hilbert-birkhoff problem

Asymptotic Analysis for Integrable Connections with Irregular Singular Points - Lecture Notes in Mathematics ◽

10.1007/bfb0071554 ◽

1984 ◽

pp. 111-133

Author(s):

Hideyuki Majima

Keyword(s):

Birkhoff Problem ◽

Stokes Phenomena

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STOKES PHENOMENA AND QUANTUM INTEGRABILITY IN NON-CRITICAL STRING/M THEORY

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194513009549 ◽

2013 ◽

Vol 21 ◽

pp. 147-148

Author(s):

CHUAN-TSUNG CHAN ◽

HIROTAKA IRIE ◽

CHI-HSIEN YEH

Keyword(s):

String Theory ◽

Matrix Models ◽

Recent Progress ◽

Solvable Model ◽

First Principle ◽

Stokes Phenomenon ◽

Quantum Integrability ◽

Key Concepts ◽

M Theory ◽

Stokes Phenomena

Non-critical string/M theory is a solvable model which has been studied to reveal various non-perturbative aspects of string theory with providing new key concepts to the next developments of string theory. Here we show some recent progress in study of Stokes phenomenon in non-critical string theory of the multi-cut two-matrix models. In particular, we argue that it is Stokes phenomenon which allows us to know concepts of non-perturbative completion with analytic study of string-theory landscape from the first principle.

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