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 | | philosophy, with applications to general systems, including nonconvex/nonsmooth and nonconservative variational analysis, nonlinear PDEs, global optimization and control, differential geometry, finite deformation field theory, theoretical physics, |
 | | His work on duality theory in convex systems emphasizes how it relates to a unified framework in mathematical physics with symmetry; while the work on triality in non-convex systems aims to understand symmetry breaking, to reveal the intrinsic duality, and to discover the general pattern of natural phenomena. |
 | | Complete solutions to a class of global optimization problems |
| www.math.vt.edu /people/gao/research (349 words) |
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