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Professor Greg Lyng

Dr. Lyng Gregory Lyng, Ph.D., Indiana University
Professor of Mathematics and Department Head
Ross Hall 230 | +1-307-766-3351
Research interests: Partial differential equations


Ph.D. Mathematics, Indiana University, 2002
M.A. Mathematics, Indiana University, 1999
B.A. Mathematics, St. Olaf College, 1996

About Dr. Lyng

Greg Lyng joined the University of Wyoming faculty in 2005. He came to the University of Wyoming from the University of Michigan.

He grew up in Fort Wayne, Indiana (the one-time magnet wire capital of the world). Outside of mathematics, he enjoys 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.

His mathematical interests are primarily in partial differential equations. At the heart of most of his work is the desire to understand the behavior of solutions of certain nonlinear partial differential equations which arise as models of physical phenomena. These investigations typically employ various techniques and ideas from rigorous real, complex, and functional analysis; numerical computation; dynamical systems; and modern asymptotic methods. Indeed, many of his research projects combine elements from several or all of these mathematical disciplines.

Representative publications

  1. G. Lyng, Semiclassical soliton ensembles for the focusing nonlinear Schrödinger equation: recent developments, in Nonlinear Wave Equations: Analytic and Computational Techniques, Contemporary Mathematics, 635, American Mathematical Society, Providence, RI, 2015, pp. 91-108.
  2. B. Barker, J. Humpherys, G. Lyng, and K. Zumbrun, Viscous hyperstabilization of detonation waves in one space dimension. SIAM Journal on Applied Mathematics, 75 (2015), pp. 885 - 906.
  3. Y. Kim, L. Lee, and G. Lyng, The Wentzel-Kramers-Brillouin approximation of semiclassical eigenvalues of the Zakharov-Shabat problem. Journal of Mathematical Physics, 55 (2014), 083516, 18 pages.
  4. J. Humpherys, G. Lyng, and K. Zumbrun Spectral stability of ideal-gas shock layers. Archive for Rational Mechanics and Analysis, 194 (2009), pp. 1029-1079.
  5. 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), pp. 951-1026.

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