Parametric motion of complex-time singularity toward real collapse

DOI10.1016/0167-2789(90)90104-WzbMath0718.34069OpenAlexW2068510918MaRDI QIDQ2639226

Yoshifumi Kimura

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90104-w

zbMATH Keywords

eigenvalues of the linearized stability problemMotion of complex-time singularities

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Asymptotic properties of solutions to ordinary differential equations (34D05) Numerical analysis in abstract spaces (65J99)

Related Items (10)

Self-similar collapse of three vortices in the generalised Euler and quasi-geostrophic equations ⋮ Velocity statistics for point vortices in the localα-models of turbulence ⋮ Evidence of fractional transport in point vortex flow ⋮ Vortex collapse from the viewpoint of complex-time singularity ⋮ Motion of three vortices near collapse ⋮ Deciphering Singularities by Discrete Methods ⋮ Self-similar motion of three point vortices ⋮ Group scattering of point vortices on an unbounded plane ⋮ Self-similar collapse of a 3D straight vortex filament model ⋮ A blow-up problem for a nonlinear heat equation in the complex plane of time

Cites Work

• Vortex motion, sound radiation, and complex time singularities
• The dynamics of three vortices revisited
• Ratio-Like and Recurrence Relation Tests for Convergence of Series
• Motion of three vortices
• Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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