Homepage of William C. Troy
Recent Research Papers:
"New Singular Standing Wave Solutions Of The Nonlinear Schrodinger Equation,"
in low temperature predictions of Einstein's theory of a solid are
identified and corrected.
in low temperature predictions of the Fermi-Firac, Boltzman, and Bose-Einstein models
are identified and corrected.
(III) Modeling growth and regression of tumors with a Gompertzian delay-differential equation system.
Movies showing the formation of N-bump solutions, rotating waves
and target pattern
for a 2-dimensional integral equation (joint work with Carlo Laing).
For a copy of the N-bump paper (use a color printer if possible) click on gzipped-ps
First row: Click on 1st figure to see the formation of a
stationary 12-bump solution. Click on 2nd picture to see the rotating 3-bump movie.
Second row: Click on the 1st picture and 2nd pictures to see rotating spiral
movies. Click on the 3rd picture to see the target pattern movie.
- Movie No.6
The level curve version for the 12-bump formation.
- Movie No. 7
shows the formation of the 7-bump solution.
- Movie No.8 The level curve version of 7-bump formation.
University of Pittsburgh
Pittsburgh, Pa. 15260