Mathematical Modeling and Differential Equations Research Group Front Page Professor Katerina Nik leads Mathematical Modeling and Differential Equations research group. The current research group's scientific interests focus on the modeling, design, optimization, and performance analysis of wireless systems with a current emphasis on global connectivity, optical wireless communications, and high-speed underwater communication. The MMDE group focuses on the modeling and analysis of PDEs that describe phenomena in biological growth, mechanical engineering, and fluid dynamics. Key areas of research include well-posedness, existence and nonexistence of solutions, and
