Partial Differential Equations

Fluid Dynamics & Turbulence

Scientific Computations

About Me

I have been on a three-year postdoctoral associate position in the Department of Mathematics at University of Nebraska--Lincoln since 2015 (Go Big Red!). My mentors are Prof. George Avalos and Prof. Adam Larios. Before this, I was a visiting professor at Ursinus College in Pennsylvania. I received my PhD degree in applied mathematics in 2014 at the University of Southern California (Fight On, Trojans!), under the supervision of Prof. Igor Kukavica. I also have a Master's degree in statistics. I was born and raised in China and I finished my undergraduate study with a Bachelor's degree in mathematics at Peking University in Beijing.

Contact Info

Address: 203 Avery Hall, Lincoln, NE 68588-0130, USA

Email: ypei4@unl.edu

Phone: +1(402)472-7220

Office: Avery Hall 322

Research Interests

I am primarily interested in the qualitative properties of partial differential equations arising in fluid dynamcis, geophysics, etc. I am also interested in the mechanism of turbulence and its applications. Besides, I work with my postdoc mentor on the large-scale simulations and scientific computing of various PDE models in geophysical and fluid dynamcis.

On Teaching

This semester I am teaching two sessions of Calculus 3. Last semester I enjoyed teaching Math 447/847 - Numerical Linear Algebra for about 30 undergraduate and graduate students. Last year, I had a great deal of fun teaching Math 435 - Math in the City, a project-oriented course in which about 20 students in four teams collaborating with the Lancaster County Health Department over two projects using statistical analysis.

On Putnam Competition Mentoring

I have been mentoring students in the weekly Putnam Mathematical Competition sessions since last year. This semester, we meet every Friday 2PM-4PM in Avery 351. Problems, most of which with solutions for the past years of the competition, can be found here. If you are interested in taking park of the competition and the training session, simply send me an email:)


Last Updated - Oct. 2017