free boundary problems

On Singular Equations Modeling Electrostatic MEMS

Katerina Nik, Assistant Professor, Applied Mathematics and Computational Sciences

Apr 28, 12:00 - 13:00

B9 L2 R2325

MEMS free boundary problems

This talk introduces mathematical models for microelectromechanical systems (MEMS), focusing on the existence and behavior of solutions to equations describing the MEMS device's instability due to electrostatic forces that can lead to singularities in the mathematical equations.

Katerina Nik

Assistant Professor, Applied Mathematics and Computational Sciences

Partial Differential Equations free boundary problems calculus of variations Mathematical Biology Microelectromechanical fluid dynamics mean curvature flow

Professor Nik studies partial differential equations that describe phenomena in biological growth processes, fluid dynamics, and mechanical engineering.