Yao Yao

Graduate Student

Contact Information
Department of Mathematics, UCLA Los Angeles, CA 90095 Office: MS 7630 Current Teaching: Math 142 Mathematical Modeling Office hours: Wednesday 12-1, Thursday 3-4 Math 266B Applied Partial Differential Equations Office hours: Monday 12-1, Tuesday 2-3 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.

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, to appear in SIAM J. Math. Anal.. An aggregation equation with degenerate diffusion: qualitative property of solutions, with L. Chayes and I. Kim, preprint avaliable upon request. Blow-up profile for the aggregation equation with degenerate diffusion, with A. L. Bertozzi, in preparation. Asymptotic behavior for critical Patlak-Keller-Segel model and an repulsive-attractive aggregation equation, preprint.

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

Past Teaching

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