http://www.channelflow.org/dokuwiki/ 2012-05-17T07:25:13-07:00 http://www.channelflow.org/dokuwiki/ http://www.channelflow.org/dokuwiki/lib/tpl/default/images/favicon.ico text/html 2012-04-13T08:19:04-07:00 predrag http://www.channelflow.org/dokuwiki/doku.php?id=chaosbook:literature&rev=1334330344&do=diff A literature blog 2012-04-13 Predrag to John perhaps check out arXiv.org:1110.3605, “Hamiltonian description and traveling waves of the spatial Dysthe equations” by Francesco Fedele and Denys Dutykh, or other Dutykh publications. Francesco and Denys will attempt to recycle 3D Eulerian flow, and I am very interested in what they found, both for geophysics and quantum field theory applications (equations like Yang-Mills are also Hamiltonian). Please help them - looks like channelflow is the perf… text/html 2012-04-13T08:13:15-07:00 predrag http://www.channelflow.org/dokuwiki/doku.php?id=chaosbook:pdes&rev=1334329995&do=diff <- chaosbook (ChaosBook.org blog, chapter Turbulence?) --- Predrag Cvitanovic 2009-03-08 (the latest posts within a section at the top, blog-style) A literature blog click here Plumbers unite! A manifesto click here A plane Couette blog click here text/html 2012-02-29T10:25:07-07:00 gibson http://www.channelflow.org/dokuwiki/doku.php?id=gibson:teaching:spring-2012:iam95:hw1&rev=1330539907&do=diff Problem 1 In class we derived via Taylor expansion the following approximation for the exponential growth rate of a sinusoidal perturbation of wavenumber for a Type I-s instability, near the critical wavenumber (), and close to onset of instability (). text/html 2012-02-15T09:31:50-07:00 predrag http://www.channelflow.org/dokuwiki/doku.php?id=chaosbook:diffusion&rev=1329327110&do=diff <- chaosbook (ChaosBook.org blog, chapter Deterministic diffusion) A description of diffusion locally? Roman 2010-11-20 I think the periodic orbit expression for the diffusion constant is wrong. Imagine you have a compact chaotic (ergodic, mixing) flow which has no relative periodic orbits. Then periodic orbit theory would seem to predict D=0, which is clearly wrong. Otherwise the flow would not be mixing & ergodic. Diffusion has to do with stretching by different periodic orbits in differen… text/html 2012-02-08T10:25:56-07:00 gibson http://www.channelflow.org/dokuwiki/doku.php?id=gibson:teaching:spring-2012:iam950&rev=1328725556&do=diff MW 2:10-3:30pm Kingsbury N204 Prof. John Gibson, Mathematics and Statistics john.gibson@unh.edu, Kingsbury Hall N309E Prof. Greg Chini, Mechanical Engineering greg.chini@unh.edu, Kingsbury Hall W113 abstract: This course examines the theory of bifurcations, pattern formation, and spatiotemporal chaos in systems governed by time-dependent nonlinear partial differential equations. We begin with comparatively well-developed theories and simple model systems (e.g. 1-dimensional nonlinear PD…