## Address :

Department of Mathematics

University of California

Davis, CA 95616, USA

e-mail: `jkhunter@ucdavis.edu`

Phone:

- (530) 601-4444x4016 (Office)
- (530) 752-6635 (Fax)

Office:

3230 Mathematical Sciences Building

Professor of Mathematics

## Applied Analysis

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

## Undergraduate Lecture Notes

Design by Minimalistic Design

## Fall Quarter, 2019

I am teaching MAT 21D: Calculus.

## 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