2026-04-13T06:51:40Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/12252025-07-17T10:47:09Zcom_2072_1033col_2072_452950

Unstable manifolds computation for the 2-D plane Poiseuille flow Sánchez Casas, José Pablo Jorba, Angel Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions Differentiable dynamical systems Fluid mechanics Poiseuille flow unstable manifolds Sistemes dinàmics diferenciables Teoria ergòdica Fluids Vorticitat -- Teoria Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids We follow the unstable manifold of periodic and quasi-periodic solutions for the Poiseuille problem, using two formulations: holding constant flux or mean pressure gradient. By means of a numerical integrator of the Navier-Stokes equations, we let the fluid evolve from a perturbed unstable solution. We detect several connections among different configurations of the flow such as laminar, periodic, quasi-periodic with 2 or 3 basic frequencies and more complex sets that we have not been able to classify. 2003 Article https://hdl.handle.net/2117/1225 eng http://creativecommons.org/licenses/by-nc-nd/2.5/es/ Open Access Attribution-NonCommercial-NoDerivs 2.5 Spain 8 pages application/pdf