Stochastic Dynamics and Uncertainty Quantification (SDUQ) Lab:
We conduct theoretical research on deterministic and stochastic nonlinear partial differential equations (PDEs) from physics and engineering, specifically equations modeling fluids and dispersive phenomena. This work uses PDE techniques which combine nonlinear analysis with ideas from probability theory and the theory of dynamical systems.
We are conducting applied research in the related areas of Bayesian estimation and uncertainty quantification. Problems of interest relate to assimilating data from sparse and noisy observations in mathematical models from fluid mechanics, astrodynamics, aerodynamics, and other fields. We are also interested in modelling turbulent flows for engineering applications.
See the publications page for more information on this research.
If you are a current or prospective student at Utah State University with interest in turbulence modeling, partial differential equations, stochastic analysis, data assimilation, and/or uncertainty quantification, please feel encouraged to reach out by email regarding research opportunities.
- Geordie Richards – Principal Investigator
- Louis Tonc – Ph.D. Student – Topic: Orbit Determination from Sparse and Noisy Observations
- Joe James – M.Sc. Student – Topic: Efficiency Analysis for a Novel Expander Design