Course abstract: We examine from a classical dynamical systems pointof view stability, dynamics, and bifurcation of viscous shock waves and related solutions of nonlinear pde. Lecture 1 abstract: Stability of viscous shock waves. We discuss thebasic types of viscous shock waves, the Evans function conditionand its meaning, and outline a basic on...
Creator:
Zumbrun, Kevin (Indiana University)
Created:
2009-07-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Using a combinationof numerical Evans function computations and asymptotic ODE analysis,we carry out global stability analyses for interesting examples including ideal gas and parallel MHD shocks, across the entire rangeof physical parameters: in particular, in the large amplitude ormagnetic field limit.
Creator:
Zumbrun, Kevin (Indiana University)
Created:
2009-07-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We discuss finally stability and bifurcation of flow in a channel with periodic boundary conditions: cellular bifurcation, pattern formation,and an Evans function construction for genuinely multi-dimensional(i.e., nonplanar) solutions.
Creator:
Zumbrun, Kevin (Indiana University)
Created:
2009-07-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Determining the identities and frequencies of species present in a sample is a central problem in metagenomics, with scientific, environmental and clinical implications.A popular approach to the problem is sequencing the Ribosomal 16s RNA gene in the sample using universal primers, and using variation in the gene's sequence between different spe...
Creator:
Zuk, Or (Broad Institute)
Created:
2012-02-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The talk will begin with a definition of RNA secondary structure,including three different ways to display these structures. Two distinctapproaches will be presented for determining secondary structure fromsequence data. The comparative method requires a multiple sequencealignment of a collection of homologous RNA sequences. It uses phylogenyto ...
Creator:
Zuker, Michael (Rensselaer Polytechnic Institute)
Created:
2007-10-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The representation of color for perception differs from therepresentation for displays. We consider the map from (r,g,b)-space to (Intensity, hue, saturation)-space, and show how this non-linear space is useful for sensingdevices.
Creator:
Zucker, Steven W. (Yale University)
Created:
2005-12-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Conformational changes in proteins are intrinsic to almost every function, but sampling such changes remains one of the most difficult bio-computational problems. The challenge lies on two levels. First, algorithms which can efficiently focus computer time on the correct path ensemble are necessary. Second, even if perfect path-sampling algorith...
Creator:
Zuckerman, Daniel M. (University of Pittsburgh)
Created:
2009-05-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
