====== IAM 950: Spatiotemporal and turbulent dynamics ======

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 PDEs) 
and progresses by stages of increasing complexity to the 
culminating problem of coherent structures and turbulence 
in the Navier-Stokes equations. The goal is to give advanced 
graduate students the proper analytic and conceptual background 
for research in the dynamics of unstable spatio-temporal 
patterns in turbulent shear flows. 

====== News ======

**3 Feb 2012:** {{:gibson:teaching:spring-2012:ks_cnab2.m}} Matlab source code for time-integration of Kuramoto-Sivashinksy eqn.

**26 Jan 2012:** Please read the Introduction of Cross and Greenside for 
Monday 30 Jan. I have placed a few xeroxed copies place on the bookshelf outside my 
Kingsbury N309E. Please borrow for a few hours or overnight and return a.s.a.p. 
so that others have a chance to read. But also please order and purchase the book
for use throughout the semester.

====== Homework ======

^ # ^ due ^ notes ^
| [[:gibson:teaching:spring-2012:iam95:HW1]] |  |  |


====== General info ======
**Syllabus:**[[gibson:teaching:spring-2012:iam950:syllabus | detailed & updated ]] {{:gibson:teaching:spring-2012:iam950syllabus.pdf|course announcement (PDF)}}

**Primary text:** //Pattern Formation and Dynamics in Nonequilibrium 
Systems//, Michael Cross and Henry Greenside, Cambridge University Press, 2009.

**Supplementary texts:**
  * //Dissipative Structure & Weak Turbulence//, Paul Manneville, Academic Press, 1990.
  * //Instabilities, Chaos, and Turbulence//, Paul Manneville, Imperial College Press, 2010.
  * //Pattern Formation: An Introduction to Methods//, Rebecca Hoyle, Cambridge Texts in Applied Mathematics, 2006.
  * //Stability and Transition in Shear Flows//, Peter Schmid and Dan Henningson, Springer-Verlag, 2000.
  * //Turbulence, Coherent Structures, Dynamical Systems, and Symmetry//, Philip Holmes, John Lumley, and Gal Berkooz, Cambridge University Press, 1996
  * [[http://www.chaosbook.org |Chaos: Classical and Quantum]], Predrag Cvitanovi\'c et. al, www.chaosbook.org, 2011.
  * //Linear and Nonlinear Waves//, Gerald Whitham, Wiley \& Sons, 1973