## Address :

Department of Mathematics

University of California

Davis, CA 95616, USA

e-mail: `jkhunter@ucdavis.edu`

Phone:

- (530) 554-1397 (Office)
- (530) 752-6653 (Fax)

Office:

3230 Mathematical Sciences Building

Professor of Mathematics

## Applied Analysis

J. K. Hunter and B. Nachtergaele## Lecture Notes

## Undergraduate Lecture Notes

## Spring Quarter 2015

I am teaching:

MAT 180:
Set Theory and the Continuum Hypothesis

MAT 205B:
Complex Analysis

## Research

My research interests are in analysis, applied mathematics, wave propagation, singular perturbation theory, and nonlinear PDEs, especially nonlinear hyperbolic PDEs.Some specific problems in which I'm currently interested are:

- Hamiltonian descriptions of nonlinear waves
- Normal form methods for nonlinear PDEs
- Nonlinear, nondispersive surface waves
- Hyperbolic conservation laws
- Shock wave reflection and transonic flow
- Variational systems of wave equations