Joseph Shomberg

Joseph Shomberg is an Associate Professor of Mathematics in the Department of Mathematics & Computer Science at Providence College. His research focuses on partial differential equations, dynamical systems, and nonlinear analysis, particularly in modeling phase separation, thermal relaxation, and wave dynamics. Key contributions include studies on Cahn-Hilliard equations, Coleman-Gurtin models, and damped wave equations with complex boundary conditions.

Recent research trends involve nonlocal conservation laws, fractional diffusion, and memory kernels in dissipative systems. His work addresses both theoretical and numerical aspects of partial differential equations, with applications spanning materials science and social sentiment modeling.

Collaborations include work with researchers such as C.G. Gal, M. Grasselli, and A. Poiatti. With an h-index of 46 and 5 citations, his scholarly output emphasizes mathematical rigor and interdisciplinary relevance.