The Florida State University
The Florida State University
Monday: 30 September 1996
No Graduate Seminar, 3:35 p.m., 102 Love Building
Tuesday: 1 October 1996
Hopf Algebra Seminar, 2:00 p.m., 104 Love Building
No Knot Theory Seminar, 3:35 p.m., 104 Love Building
University-Wide Faculty Meeting, 4:00 p.m.
Wednesday: 2 October 1996
(Real) Analysis Seminar, 2:30 p.m., 102 Love Building
Complex/Symbolic Analysis Coffee, 3:30 p.m., 105 Love Building
Complex/Symbolic Analysis Seminar, 3:35 p.m., 102 Love Building
Algebra Seminar, 2:00 p.m., 104 Love Building
Applied Seminar, 3:30 p.m., 200 Love Building
Topology Tea Time, 3:00 p.m., 204 Love Building
Topology Seminar, 3:35 p.m., 104 Love Building
Friday: 4 October 1996
Colloquium Coffee, 3:00 p.m., 204 Love Building
Colloquium, 3:30 p.m., 101 Love Building
Scientific Computing Seminar, 4:30 p.m., 200 Love Building
This document is maintained by
Melissa Elaine Smith /
smith@math.fsu.edu
Last modified: 29 August 1996
We consider the equations that are the least integrable systems in the Hietarinta classification. For such equations the generalization of the Painleve expansion is used to find the traveling wave solutions in the form of solitary waves and traveling wave fronts. Furthermore, if the soliton solution is found, the periodic wave train represented by the superposition of the solitons approximates the exact periodic solution as the spacing between pulses gets large. To characterize these solutions the partial fraction decomposition in exponentials is used. The superposition is shown to satisfy the original equation plus some small correction term. Then, the exact solution is obtained by taking into account the correction term and by scaling the traveling wave coordinate. Also the periodic solution is obtained even when the solitary wave solution is not known. The described algorithm gives an explicit expressions for the velocity and amplitude of the periodic pulse train in terms of period and reveals the dynamics of interacting localized structures. It is demonstrated that the soliton interaction is controlled by the singularity structure of the system.
Graduate Student Seminar: Coming Attractions
Tuesday Algebra Seminar: Coming Attractions
Hopf Algebra Seminar: Coming Attractions
Knot Theory Seminar: Coming Attractions
(Real) Analysis Seminar: Coming Attractions
Complex/Symbolic Analysis Seminar: Coming Attractions
Thursday Algebra Seminar: Coming Attractions
Applied Seminar: Coming Attractions
Topology Seminar: Coming Attractions
Scientific Computing Seminar: Coming Attractions
Natalia G. Berloff
Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
The existence of solitons and periodic wave trains is an important question in the study of nonlinear evolution equations. The methods for finding such solutions for integrable equations are well-known: the inverse scattering theory, the Hirota bilinear method, and the singularity manifold method. The goal of this work is to develop some methods for finding the solitary and periodic solutions for some nonintegrable equations.
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07 October.....
21 October.....Chris Holt, Weird Lattices
04 November....
18 November....
02 December....
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08 October.....Irma Cruz-Rodriguez, Vassiliev Invariants and RNA Folding
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October 30.....Douglas Liao, Unifpack, A Symbolic Calculator for Groups and Riemann Surfaces
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10 October.....
17 October.....
24 October.....
31 October.....
07 November....
14 November....
21 November....
28 November....Thanksgiving --- no classes
05 December....
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10 October.....no seminar (AMS meeting)
17 October.....Peter Buser
24 October.....Aleksandar Poleksi
31 October.....Aleksandar Poleksi
07 November....Ivo Dinov, Florida State University
14 November....Ivo Dinov, Florida State University
21 November....Jack Quine, Florida State University
28 November....Thanksgiving --- no classes
05 December....Jack Quine, Florida State University
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11 October.....Abbas Khavaran, Prediction of Jet Noise from Fine-Scale Turbulence
18 October.....I Michael Navon, Second Order Information in Optimal Control Applied to the Geosciences
25 October.....Homecoming, no seminar
01 November....Philippe Lafon, Direction des Etudes et Recherches d'Electricite de France, "Computational Aeroacoustics for Free and Confined Flows"
08 November....Lighthill Symposium, no seminar
15 November....David Kopriva, An Unstructured Mortar Spectral Multi-Domain Method for the Compressible Navier-Stokes Equations
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Scheduled Colloquia Speakers - Fall 1996
11 October.....Abbas Khavaran, Prediction of Jet Noise from Fine-Scale Turbulence (DEPARTMENTAL colloquium)
18 October.....M. Fried
25 October.....
01 November....C. Sadosky
15 November....Jouko Vaananen, Academy of Finland & Univ of Helsinki
Logic and Mathematics---from Cantor to Shelah
I discuss the role of logic in mathematics in the light of both
classical and recent advances in mathematical logic. The concepts and
methods of logic have helped us to understand, for example, why
Cantor's Continuum Hypothesis, and algorithmic solution of Diophantine
equations (Hilbert's 1st and 10th problems), are hard or impossible to
solve. On the other hand, the logical analysis of mathematical
structures has uncovered a rich general theory of classes of
structures with a so called complete first order axiomatization. The
most beautiful manifestation of this is S. Shelah's Classification
Theory, the most famous result of which can be summarized as follows:
Classes of structures with a complete first order axiomatization
always contain either maximally many structures, which are moreover
indistinguishable from each other, or rather few structures, all
easily distinguishable from each other.
22 November....Gaston Gonnet (ETH, Zuerich)
22 November....Thanksgiving --- no classes
06 December....
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Scheduled Colloquia Speakers - Spring 1997
17 January....
24 January....
31 January....J. Bona
07 February...R. Vogt
14 February...
21 February...M. Barnsley
28 February...
07 March......S. Wittington
14 March......Spring Break
21 March......
28 March......
04 April......
11 April......
18 April......
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