G. D. Lyng
Department of Mathematics
University of Wyoming
Menu:
Research Overview
I am an applied mathematician whose primary research interests lie in the broad area of applied analysis and partial differential equations (PDEs). That is, I am mainly interested in the rigorous mathematical study of physically motivated or "real world'' phenomena. The phenomena I have in mind are usually realized (perhaps idealized is the more appropriate word here) mathematically as PDEs, and they are therefore amenable to study using a variety of techniques from analysis and the theory of PDEs. In general, mathematical research of this kind involves investigations of such fundamental issues as existence, uniqueness, and regularity of solutions; well-posedness of problems; stability of solutions; and asymptotic behavior of solutions in various limits.