On the existence and evaluation of Stokes phenomena in fluid mechanics

DOI10.3233/ASY-211723OpenAlexW3196966735MaRDI QIDQ5867636

Nik Alexandrakis

Publication date: 14 September 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-211723

zbMATH Keywords

Stokes phenomenonexponentially small splitting of separatricesStokes constants

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Cites Work

• On functions uniquely determined by their asymptotic expansion
• Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems
• Exponential Asymptotics and Stokes Line Smoothing for Generalized Solitary Waves
• Exact conditions for existence of homoclinic orbits in the fifth-order KdV model
• Exponential asymptotics with coalescing singularities
• Vanishing beyond all orders: Stokes lines in a water-wave model equation
• Borel summation and splitting of separatrices for the Hénon map
• Embedded solitons: Solitary waves in resonance with the linear spectrum