User Tools

Site Tools


chaosbook:pdes

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
chaosbook:pdes [2012/04/13 08:13]
predrag [References]
chaosbook:pdes [2012/04/13 08:20] (current)
predrag [A literature blog]
Line 9: Line 9:
 {{gtspring2009:​pc.jpg}} ​ {{gtspring2009:​pc.jpg}} ​
  
-===== Blog ===== +===== A literature blog =====
- +
-**2011-07-05 Predrag** [[http://​arxiv.org/​abs/​1107.0580|arXiv.org:​1107.0580]],​ "​Turbulent transition in a truncated one-dimensional model for shear flow" by J.H.P. Dawes and W.J. Giles merits a closer look. +
- +
-**2010-06-10 Predrag** Run into a bunch of papers by  Magnitskii about "​Feigenbaum-Sharkovskii-Magnitskii scenario of transition to turbulence in +
-the Rayleigh-Benard convection."​ Feigenbaum and Sharkovskii can sleep restfully (it is about sequences of bifurcations from the laminar attractor into tori and such, with increasing Rayleigh and Prandtl numbers) but visualizations onto {{:​chaosbook:​uvw.gif|}} like this one +
- +
-{{:​chaosbook:​2torus.jpg|}} +
- +
-might be useful to us. Of course, they do not explain the flow that generated this plot; presumably they have fixed a point in //(x,y,z)// and then trace //​(U,​V,​W)(x,​y,​z;​t)//​ as a function of time. Fixing //U=0// also enables them to visualize a section across this torus. I put one of the articles, N.M. Evstigneev, N.A. Magnitskii and S.V. Sidorov, "​Nonlinear dynamics of laminar-turbulent transition in three dimensional Rayleigh-Benard convection",​ //​Communications in Nonlinear Science and Numerical Simulation//​ **15**, 1007-5704 (2010), into [[https://​www.zotero.org/​groups/​cns/​items/​collection/​1931456|https://​www.zotero.org/​groups/​cns library]]. +
- +
-**2009-11-25 Humbledt Plumber to Benny Lautrup:** methinks, +
- +
-"Pipes and planes"​ glides down your tongue like poetry +
- +
-"​Plates and pipes" ​ (chapter title in Lautrup'​s book) is strictly engineering - no physicists thinks of a "​plate";​ infinite in all directions is called a "​plane"​. +
- +
-**2009-07-27 Balu /​BALASUBRAMANYA Nadiga/**  +
-Your comments/​suggestions on [[http://​ChaosBook.org/​library/​NaLu01.pdf|Global Bifurcation of Shilnikov Type in a Double-Gyre Ocean Model]] by Nadiga and Luce, a paper on homoclinic chaos +
-on the way to turbulence in the simpler setting of the barotropic +
-vorticity eqn. in the context of ocean flows would be very much +
-appreciated.+
  
 +[[literature|click here]]
  
 ===== Plumbers unite! A manifesto ===== ===== Plumbers unite! A manifesto =====
chaosbook/pdes.1334329995.txt.gz · Last modified: 2012/04/13 08:13 by predrag