research interests
Applied analysis and partial differential equations: nonlinear waves, existence & stability of traveling waves, Evans-function techniques, conservation & balance laws, gas dynamics, shock waves, combustion, integrable equations.
selected publications
- J. Humpherys, G. Lyng, and K. Zumbrun, Spectral stablity of ideal-gas shock layers, Archive for Rational Mechanics and Analysis, 194 (2009): 1029 - 1079. doi:10.1007/s00205-008-0195-4
- G. Lyng and P. D. Miller, The N-soliton of the focusing nonlinear Schrödinger equation for N large, Communications on Pure and Applied Mathematics, 60 (2007): 951 - 1026. doi:10.1002/cpa.20162
- H. K. Jenssen, G. Lyng, and M. Williams, Equivalence of low-frequency stability conditions for multidimensional detonations in three models of combustion, Indiana University Mathematics Journal, 54 (2005): 1 - 64. doi:10.1512/iumj.2005.54.2685
about me
I grew up in Fort Wayne, Indiana (the one-time magnet wire capital of the world), and I earned a BA in mathematics from St. Olaf College. My PhD is from Indiana University, Bloomington. After a post-doctoral stint at the University of Michigan, I came to Wyoming in 2005. Outside of mathematics, I enjoy skiing, ruminating on the New York Times crossword puzzle, drinking good coffee, and passionately following the (mis)fortunes of the Indiana University men's basketball team.