In my room, the world is beyond my understanding / But when I walk, I see that it consists of three or four hills and a cloud. - WALLACE STEVENS
Phone (Office): 410/455-2183
Department of Mathematics and Statistics
Univ. Maryland, Baltimore County, 1000 Hilltop Circle Baltimore, MD 21250
UMBC Department of Mathematics and Statistics:
UMBC news story about my 2019-2022 NSF funding.
2018 survey article in The Conversation about my work on flutter.
2018 book on Mathematical Aeroelasticity
Mathematical Theory of Flow/Fluid-Structure Interactions in Oberwolfach Seminars.
mathematical modeling, applied pde, nonlinear evolutions, dynamical systems, (nonlinear) semigroups and monotone operator theory, coupled systems of PDE, control of PDE, numerical simulation of PDE
Specific Research Topics:
nonlinear elasticity, von Karman evolutions, fluid and flow-structure interactions, long-time behavior of fluid-structure interactions, axial flow, nonlinear/degenerate advection diffusion equations, evolutions in L^1, poro and visco elasticity
flutter suppression and control, aeroelasticity, snoring and sleep apnea, piezoelectric energy harvesting, methane hydrate formation, dynamics of the eye, Biot dynamics (in hydrology and human anatomy)
Dissertation Title: Analysis of Flow-Plate Interactions: Semigroup Well-Posedness and Long-Time Behavior