## Peter Bates

### PROJECT AFFILIATION:

- PROM/SE
- Roles: Co-PI, Project Participant

### PROFESSIONAL ROLES

- Higher Ed: Mathematics

### BIO

Education:PhD, U. Utah

BSc, U. London

Employment:

Michigan State U. (current)

Brigham Young U.

National Science Foundation

Texas A&M U.

Pan American U. Texas

Visiting Positions:

Research Institute For mathematical Sciences, Kyoto

Isaac Newton Institute for Mathematical Sciences, Cambridge

Institute for Mathematics and its Applications, Minneapolis

University of Utah

University of Rome II

Heriot-Watt University

University of Texas

### EXPERTISE

Infinite-dimensional dynamical systems, nonlinear elliptic and parabolic PDE, phase transitions

### RECENT PUBLICATIONS

Bates, Peter W.; Han, Jianlong, The Neumann boundary problem for a nonlocal Cahn-Hilliard equation. J. Differential Equations 212 (2005), no. 2, 235--277.Bates, Peter W.; Chen, Xinfu; Chmaj, Adam J. J., Traveling waves of bistable dynamics on a lattice. SIAM J. Math. Anal. 35 (2003), no. 2, 520--546

Bates, Peter W.; Shi, Junping, Existence and instability of spike layer solutions to singular perturbation problems. J. Funct. Anal. 196 (2002), no. 2, 211-264.

Bates, Peter W.; Chen, Fengxin, Spectral analysis and multidimensional stability of traveling waves for nonlocal Allen-Cahn equation. J. Math. Anal. Appl. 273 (2002), no. 1, 45--57.