Stability Index analysis of 1-D patterns in the Gray-Scott model,(with Doelman,Arjen and Kaper, Tasso J. A), *Mem. Amer. Math. Soc. * 155 (2002), no. 737

Stability analysis of singular patterns in the 1D Gray-Scott model: a matched asymptotics approach, (with Doelman,Arjen and Kaper, Tasso J. A) ,* Physica . D *122 (1998), no. 1-4, 1--36.

The gap lemma and geometric criteria for instability of viscous shock profiles, (with Zumbrun, Kevin),* Comm. Pure Appl. Math.* 51 (1998), no. 7, 797--855.

Spectral analysis of long wavelength periodic waves and applications, *J. Reine Angew. Math.* 491 (1997), 149--181

On the structure of the spectra of periodic travelling waves. *. J. Math. Pures et Appl.* (9) 72 (1993), no. 5, 415--439

Stability of travelling waves for nonconvex scalar viscous conservation laws, (with Jones, C. K. R. T. and Kapitula, Todd),* Comm. Pure Appl. Math.* 46 (1993), no. 4, 505--526.

A topological invariant arising in the stability analysis of travelling waves, (with Alexander, J. and Jones, C. ),* J. Reine Angew. Math.* 410 (1990), 167--212

Existence of multidimensional travelling wave solutions of an initial-boundary value problem.* J. Differential Equations *61 (1986), no. 3, 335--379.

Existence of travelling wave solutions of predator-prey systems via the connection index. *SIAM J. Appl. Math.* 44 (1984), no. 1, 56--79.

An application of the generalized Morse index to travelling wave solutions of a competitive reaction-diffusion model, (with Conley, C.), *Indiana Univ. Math. J. 33 (1984), no. 3, 319--343.*

*On the detonation of a combustible gas.** Trans. Amer. Math. Soc. *277 (1983), no. 2, 431--468

## Department of Mathematics and Statistics