Interesting articles using PDEs
A simple proof that the world is three-dimensional, by
Tom Morley (1985)
from SIAM Review (Use JSTOR link), vol. 27, no. 1, pp. 69-71.
- For errata, follow this same link, but select
vol. 28, no. 2, p. 229 (1986).
- The paper is really a follow-up to Huygen's principle,
mentioned in Lesson 24 of Farlow's book.
- "Can one hear the shape of a drum?"
- Image processing
Variational PDE models in image processing,
by Chan, Shen and Vese, Notices of the American Mathematical
Society, Vol. 50(1), 2003, pp. 14-26.
- Nonlinear total variation based noise removal algorithms,
by Rudin, Osher and Fatemi, Physica D: Nonlinear Phenomena,
Vol. 60 (1992), pp. 259-268.