Mat Johnson

Mat Johnson is a Professor and Chair of the Department of Mathematics at the University of Kansas. His research focuses on Nonlinear Partial Differential Equations, Mathematical Physics, and Applied Mathematics, with a particular emphasis on wave dynamics, stability analysis, and nonlinear phenomena. His work spans theoretical frameworks and applications in fluid dynamics, optics, and mathematical biology.

Johnson’s research explores the modulation and stability of periodic and solitary waves in equations such as the Ostrovsky, Novikov, and Camassa–Holm models. He investigates modulational instability, subharmonic dynamics, and orbital stability across diverse systems, including fluid conduits, reaction-diffusion models, and nonlinear optics. His contributions bridge mathematical rigor and real-world applications, addressing challenges in wave propagation and system behavior.

His articles reflect a sustained focus on nonlinear wave theory, with recent work analyzing the Ostrovsky equation’s wave trains and the stability of solutions in the Novikov and Lugiato–Lefever systems. His studies often reveal critical insights into how perturbations and parameters influence wave behavior and system stability.

As Chair, Johnson leads academic initiatives in the department, fostering interdisciplinary collaboration and research excellence. His work is disseminated through high-impact journals and conferences, including the KUMUNU-ISU Conference on PDEs and Dynamical Systems.