dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor
Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author
Sánchez Casas, José Pablo
dc.contributor.author
Jorba, Angel
dc.identifier
https://hdl.handle.net/2117/1225
dc.description.abstract
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.
dc.format
application/pdf
dc.rights
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights
Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.subject
Differentiable dynamical systems
dc.subject
Fluid mechanics
dc.subject
Poiseuille flow
dc.subject
unstable manifolds
dc.subject
Sistemes dinàmics diferenciables
dc.subject
Teoria ergòdica
dc.subject
Vorticitat -- Teoria
dc.subject
Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.subject
Classificació AMS::76 Fluid mechanics::76D Incompressible viscous fluids
dc.title
Unstable manifolds computation for the 2-D plane Poiseuille flow
