Yao Yao

Graduate Student

Contact Information
Department of Mathematics, UCLA Los Angeles, CA 90095 Office: MS 7630 Current Teaching: Math 146 Methods of Applied Mathematics Office hours: Thursday 1pm-3pm E-mail: yaoyao [at] math.ucla.edu

About Me
I am currently a fifth year graduate student at UCLA, under the supervision of Prof. Inwon Kim. I am expected to graduate in June 2012. My research interests include nonlinear PDE and free boundary problems. Here is my CV. Starting this fall, I will be a Van Vleck visiting assistant professor at University of Wisconsin, Madison.

Research

(For details of the research projects, click here.) The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle, with I. Kim, SIAM J. Math. Anal. 44, pp. 568-602. An aggregation equation with degenerate diffusion: qualitative property of solutions, with L. Chayes and I. Kim, submitted. Blow-up dynamics for the aggregation equation with degenerate diffusion, with A. L. Bertozzi, submitted. Asymptotic behavior for critical Patlak-Keller-Segel model and an repulsive-attractive aggregation equation, submitted.

Notes and Numerics
Notes on uniqueness of 1D Supercooled Stefan Problem Numerics for radially symmetric Patlak-Keller-Segel equation with degenerate diffusion

Past Teaching

Spring 2012: Math 146 Methods of Applied Mathematics Winter 2012: Math 142 Mathematical Modeling Winter 2012: Math 266B Applied PDE Fall 2011:     Math 142 Mathematical Modeling Summer 2011: GRE Math Subject Prep Workshop Spring 2011: Math 171 Stochastic Processes Winter 2011: Math 31B Integration and Infinite Series Fall 2010:     Math 31B Integration and Infinite Series Spring 2010: Math 171 Stochastic Processes Winter 2010: Math 266B Applied PDE Fall 2009:      Math 266A Applied ODE Spring 2009: Math 171 Stochastic Processes Spring 2008: Math 142 Mathematical Modeling Winter 2008: Math 31B Integration and Infinite Series