Dr. John Hunter

Biography

Professor John Hunter is a distinguished professor in Applied Mathematics at the University of California, Davis. He received his Ph.D. from Stanford University in 1981. His research focuses on singular perturbation methods, asymptotics, and hyperbolic partial differential equations (PDEs). Hunter's work deals with challenging non-linear PDEs that are typically difficult to analyze; he aims to develop perturbation methods that allow for approximate solutions while retaining the non-linear effects. Notably, he has studied phenomena such as shock waves and solitons, employing a non-linear geometrical optics approach. This research adaptation has resulted in profound insights into the behavior of waves in hyperbolic systems and their interactions. His investigations have led to resolving the Von Neumann paradox related to Mach reflection in weak shock waves within compressible fluids. Hunter has also supervised numerous graduate students, guiding research on topics like non-linear sound wave propagation and gravity waves in the context of Einstein's General Relativity.

Research Interests