Meromorphic non-integrability of a steady Stokes flow inside a sphere

DOI10.1017/etds.2012.130zbMath1294.37025OpenAlexW2014152101MaRDI QIDQ5415944

Takahiro Nishiyama

Publication date: 19 May 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2012.130

zbMATH Keywords

non-integrabilitymeromorphic first integralsteady Stokes flow

Mathematics Subject Classification ID

Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (2)

Integrability analysis of the stretch-twist-fold flow ⋮ Nonintegrability of dynamical systems with homo- and heteroclinic orbits

Uses Software

• Mathematica

Cites Work

• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• An algorithm for solving second order linear homogeneous differential equations
• Kovacic's algorithm and its application to some families of special functions
• Picard-Vessiot theory and Ziglin's theorem
• Non-integrability of ABC flow
• On a class of steady confined Stokes flows with chaotic streamlines
• On the Determination of Ziglin Monodromy Groups
• On the absence of a real-analytic first integral for ABC flow when A=B
• Changes in the adiabatic invariant and streamline chaos in confined incompressible Stokes flow

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