Lev Kapitanski

Lev Kapitanski is a Professor in the Department of Mathematics at the University of Miami's College of Arts and Sciences. His research spans differential equations, nonlinear dynamics, Sobolev spaces, and mathematical biology.

• Key contributions to semiflow selection theorems and Markov selection
• Pioneering work on dynamics with discrete-to-continuous transitions
• Studies on homotopy invariants in low-regularity function spaces
• Mathematical modeling of vector-borne disease transmission in heterogeneous environments

His publications demonstrate expertise in differential inclusions, Hardy inequalities, and attractor theory in both discrete and continuous frameworks.

Current research focuses on deterministic switching systems, epidemiological modeling, and topological methods in nonlinear analysis. Collaborative work includes mathematical physics applications in the Faddeev model and spatial disease dynamics.

Notable grants include National Institutes of Health (NIH) and National Science Foundation (NSF) funding for vector-borne disease research. Publications frequently appear in top journals like Nonlinearity and Communications in Contemporary Mathematics.