معرفی
Milena Stanislavova is a Professor of Mathematics and Chair of the Economics Department at the University of Kansas. She holds a M.S. from Sofia University (1993) and a Ph.D. from the University of Missouri (2000). Previously, she served as Director of Graduate Studies in the Mathematics Department (2012–2017). Her research focuses on Dynamical Systems and Partial Differential Equations, particularly the stability and long-time behavior of solutions to nonlinear equations of mathematical physics. She explores Hamiltonian PDEs, coherent structures like solitons and periodic waves, and their applications in modeling physical processes.
Stanislavova has been continuously funded by NSF since 2004 and teaches undergraduate courses in differential equations, complex analysis, and graduate courses in analysis, dynamical systems, and PDEs. She is a faculty fellow in KU’s Honors Program, teaching freshman seminars, and received the Don and Pat Morrison Award for Excellence in Teaching Mathematics. Her research spans spectral stability, energy decay rates, and nonlinear phenomena in systems like the Klein-Gordon-Zakharov, Lugiato-Lefever, and Schrödinger equations.
Her work emphasizes spectral analysis of periodic and traveling waves, stability of standing waves in Hamiltonian systems, and applications in nonlinear optics and fluid dynamics. She has published extensively in journals like Nonlinearity, Physica D, and SIAM Journal of Applied Math, with contributions to both theoretical and applied mathematical physics.
