Christopher W. Curtis

Learn More
The propagation of fronts in the Fisher-Kolmogorov equation with spatially varying diffusion coefficients is studied. Using coordinate changes, WKB approximations, and multiple scales analysis, we provide an analytic framework that describes propagation of the front up to the minimum of the diffusion coefficient. We also present results showing the behavior(More)
We study the spectral (in)stability of one-dimensional solitary and cnoidal waves of various Boussi-nesq systems. These systems model three-dimensional water waves (i.e., the surface is two-dimensional) with or without surface tension. We present the results of numerous computations examining the spectra related to the linear stability problem for both(More)
and have found that it is complete and satisfactory in all respects, and that any and all revisions required by the final examining committee have been made. This thesis addresses the use of various techniques in functional analysis applied to the problem of determining the spectral stability of a traveling wave solution to a nonlinear partial differential(More)
A ring primitive on the right but not on the left, 473, 1000. Berkson, A. J. The u-algebra of a restricted Lie algebra is Frobenius, 14. Bialynicki-Birula, A. On the inverse Problem of Galois theory of differential fields, 960. Bojanic, R. and Musielak, J. An inequality for functions with derivatives in an Orlicz Space, 902. Bouwsma, W. D. Zeros of(More)
  • 1