| Title | Stretching, alignment, and shear in slowly varying velocity fields |
|---|---|
| Publication Type | Articolo su Rivista peer-reviewed |
| Year of Publication | 2003 |
| Authors | Haller, G., and Iacono Roberto |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 68 |
| Pagination | 563041-563046 |
| ISSN | 1063651X |
| Keywords | Asymptotic stability, Computer simulation, Geophysical flow, Hyperbolic trajectories, Incompressible flow, Integral equations, Lagrange multipliers, Lyapunov methods, Mathematical transformations, Real time systems, Steady flow, Stretching, Vectors |
| Abstract | The Lagrangian criteria for regions of material sretching and shear in slowly varying two-dimensional flows was discussed. The near integrability of the equation of variations along trajectories of slowly varying flows were used for the study. The equations of variation along a fluid trajectory in the steady limit were solved using Lagrangian velocities and their normal vectors as a basis along trajectories. For slowly varying incompressible flows, the solution of the equation of variation of a steady flow remained Lagrangian stability indicators. |
| Notes | cited By 14 |
| URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0942267623&partnerID=40&md5=db78974036fc551448d70c7ab7a418f6 |
| Citation Key | Haller2003563041 |
