Joseph L. Shomberg
, Providence

Analysis, Applied Mathematics

Doctor of Philosophy


Solutions to dissipative PDE tend to an attractor over time. This set may possess a complicated fractal like structure. I am interested in examining the stability of the attractor with respect to various perturbations. My interest in attractors spans abstract settings to approximation using numerical methods. More recently, I am interested in all aspects of partial differential equations equipped with dynamic boundary conditions—from well-posedness to finite dimensional attractors.

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