On the higher–order Stokes phenomenon

DOI10.1098/rspa.2004.1299zbMath1090.35054OpenAlexW2070666175MaRDI QIDQ3024552

P. J. Langman, Adri B. Olde Daalhuis, C. J. Howls

Publication date: 1 July 2005

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1299

zbMATH Keywords

turning pointssteepest descenthyperasymptoticssudden birth of Stokes lines at regular points

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (22)

On higher-order Stokes phenomena of an inhomogeneous linear ordinary differential equation ⋮ Free surface flow past topography: A beyond-all-orders approach ⋮ The Resurgence Properties of the Incomplete Gamma Function II ⋮ On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. III: Clusters of saddle points ⋮ Unsteady flow over a submerged source with low Froude number ⋮ On the structure of parasitic gravity-capillary standing waves in the small surface tension limit ⋮ On reduced models for gravity waves generated by moving bodies ⋮ Asymptotics, ambiguities and resurgence ⋮ The resurgent approach to topological string theory ⋮ Exponential asymptotics and boundary-value problems: keeping both sides happy at all orders ⋮ New gravity–capillary waves at low speeds. Part 2. Nonlinear geometries ⋮ Exponential asymptotics and Stokes lines in a partial differential equation ⋮ Hyperasymptotics and hyperterminants: exceptional cases ⋮ Three-dimensional capillary waves due to a submerged source with small surface tension ⋮ First-order general differential equation for multi-level asymptotics at higher levels and recurrence relationship of singulants ⋮ A note on the Stokes phenomenon in flow under an elastic sheet ⋮ Capturing the cascade: a transseries approach to delayed bifurcations ⋮ Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization ⋮ Resurgent transseries and the holomorphic anomaly: nonperturbative closed strings in local \(\mathbb{CP}^2\) ⋮ Steady gravity waves due to a submerged source ⋮ Dingle’s final main rule, Berry’s transition, and Howls’ conjecture ^* ⋮ Logarithmic catastrophes and Stokes’s phenomenon in waves at horizons

This page was built for publication: On the higher–order Stokes phenomenon