Dr. Milena Stanislavova earned her doctorate in Mathematics from the University of Missouri, Columbia. She is a professor in the departments Mathematics and Economics. She has served as Director of Graduate Study and Chair of the Economics department. Dr. Stanislavova's research interests include:
- Partial Differential Equations: Stability of Waves, Nonlinear Wave Equations
- Dynamical Systems: Invariant Manifolds, Hamiltonian Systems, Control
- Analysis: Semigroups of Linear Operators, Spectral Mapping Theorems
Dr. Stanislavova has jointly published several papers recently exploring the ground states of the nonlinear Schrodinger and Klein-Gordon equations. In these papers, she considers standing wave solutions of various dispersive models with non-standard form of the dispersion terms. By using index count calculations, together with the information from a variational construction, she develops sharp conditions for spectral stability of these waves.
Dr. Stanislavova joined the Honors team as a faculty fellow in the fall semester of 2020.