Yuan Pei, PhD

Assistant Professor

Research Interests:

I am interested in the qualitative properties and numerical simulations of the partial differential equations arising from fluid dynamics and geophysics. 

About

Besides teaching and doing research in mathematics, I love reading(literature, science, history, philosophy, science fiction, art, biography, etc.), sports (hiking, running and swimming), movie, museums, and traveling. 

Educational & Professional Experience:

2018 - Present: Assistant Professor, Western Washington University, WA. 
2015 - 2018: Postdoctoral Associate, University of Nebraska-Lincoln, NE.
2014 - 2015: Visiting Assistant Professor, Ursinus College, PA.
2008 - 2014: PhD in Applied Mathematics, University of Southern California, CA.
2011 - 2013: MS in Statistics, University of Southern California, CA.
2004 - 2008: BS in Mathematics, Peking University, Beijing, China.

Recent Publications

1, Nonlinear continuous data assimilation, with Adam Larios, Evolution Equations and Control Theory, 2024, 13(2): 329-348. doi: 10.3934/eect.2023048. 

2, Regularity and convergence results for the velocity-vorticity-Voigt model of the 3D Boussinesq equations, Acta Applicandae Mathematicae, 176(2021), Paper no. 8.

3, Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data, with Adam Larios, Evolution Equations and Control Theory 9 (2020), no. 3,733–751. 

4, Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations, with Adam Larios and Leo Rebholz, Journal of Differential Equations, 266 (2019), no. 5, 2435-2465.

5, Continuous data assimilation for the 3D primitive equations of the ocean, Communications on Pure and Applied Analysis,18(2) (2019), 643-661.