معرفی
Grozdena Todorova is a Professor in the Department of Mathematics at The University of Tennessee, Knoxville (UTK), affiliated with the College of Arts and Sciences. She holds a Ph.D. from Moscow State University. Her research focuses on nonlinear evolution problems in mechanics and physics, particularly addressing finite time blow-up, global existence, asymptotic behavior of solutions, regularity, and stability. She has contributed to hyperbolic and parabolic partial differential equations (PDEs), mathematical physics, and nonlinear dissipative systems.
Teaching responsibilities have included advanced courses like Math 535-536 (PDE prelim sequence) and Math 499 (Honors research class). Her work spans theoretical analysis of PDEs, including energy decay rates, critical exponents, and scattering theory, with applications to wave equations, Klein-Gordon equations, and nonlinear Schrödinger systems. She has advised honors undergraduate research in summer programs.
Her research trends emphasize dissipative systems, asymptotic behavior, and critical phenomena in nonlinear PDEs. Over 30 years of publications demonstrate sustained contributions to PDE theory and applications, with a focus on rigorous mathematical analysis of physical systems.
