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
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