Yannan Shen

Yannan Shen is an Associate Professor in the Department of Mathematics at the University of Kansas. Her research focuses on applied mathematics, particularly models from physics and engineering involving optical systems, metamaterials, plasmas, and Bose-Einstein condensates. She employs methods such as asymptotics, variational approximations, rigorous analysis, numerical analysis, and scientific computing to study existence, stability, and dynamics of solitary wave solutions.

Her work has been supported by an NSF grant (DMS-206218, 2022-2025). Recent research emphasizes nonlinear wave equations, including the Camassa-Holm system, Novikov equation, and short-pulse equations. She teaches advanced courses like Applied Partial Differential Equations and Numerical PDE, reflecting her expertise in applied mathematics and computational methods.

• Key research areas: Dynamical systems, mathematical physics, numerical analysis, and nonlinear PDEs
• Expertise in models involving metamaterials, plasmas, and optical systems
• Recipient of NSF funding supporting studies on wave systems and liquid crystals