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Research
Partial Differential Equations
Research interests in the PDE group include: elliptic, parabolic and hyperbolic equations and coupled systems; boundary value problems for nonlinear equations and systems; control theory and optimization; nonlinear dispersive and traveling waves; obstacle problems; harmonic and geometric analysis. Methods involve: bifurcations; fixed point indices; semigroups; upper-lower solutions; radial symmetry and many others. Applications concern: biological and ecological models; diffusion-reactions; computational finance; fluid and plasma dynamics; fission reactor dynamics; water and electromagnetic waves etc. The group is very active in current publications. In the past, members of the group had been supported by National Science Foundation, Department of Energy and Air Force. A. Leung and S. Stojanovic have written reference books in their specialties. P. Korman and B. Zhang are editors of several research journals.
Faculty
Phil Korman, elliptic partial differential equations
Anthony Leung, population dynamics, ecological and biological models,
Xuan Hien Nguyen, (Visiting 2006-08) geometrical analysis, mean curvature flow, elliptic and parabolic PDE's
Srdjan Stojanovic, computational finance and nonlinear partial differential equations.
Bing-Yu Zhang, control theory, non-linear waves, harmonic analysis.
Guangyu Zhao (Visiting 2007-08), evolution systems