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gibson:teaching:spring-2012:iam950 [2012/01/25 13:02]
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gibson:teaching:spring-2012:iam950 [2012/02/08 10:25] (current)
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-[[gibson:​teaching:​spring-2012:​iam950:​syllabus]]+====== 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 
 + 
gibson/teaching/spring-2012/iam950.1327525362.txt.gz · Last modified: 2012/01/25 13:02 by gibson