Dr. John Carter

Mathematics Department
Seattle University
901 12th Ave
Seattle, WA 98122
Phone: 206-296-5956
E-mail: carterj1@seattleu.edu

John Carter earned a doctoral degree in applied mathematics from the University of Colorado at Boulder in 2001. He joined the Mathematics Department at Seattle University in September 2001 where he teaches, directs undergraduate research projects and conducts research in the field of nonlinear waves. His research interests include stability analysis, fast numerical methods for nonlinear evolution equations and mathematical physics. Currently, Dr. Carter is most interested in mathematical models of surface water waves.

Modeling Tsunamis

The tsunami of December 2004 killed more than 200,000 people in the coastal regions around the Indian Ocean. The tsunami of March 2011 killed thousands and wreaked havoc in Japan. These events reminded the world how destructive tsunamis can be. In this talk, I will present a variety of commonly used partial differential equation models for tsunami evolution. I will show how accurately (or not so accurately) they model data from laboratory experiments designed to simulate real-world tsunamis. Finally, we will discuss some of the mathematical properties of important physical effects including dispersion and dissipation and will learn what these properties tell us about how tsunamis evolve.

This presentation is accessible to most undergraduate students and can be adjusted to the audience.

Mathematical Stability

Mathematical models of complicated structures or machines are often created in order to gain a better understanding of the feasibility of such objects before they are built. One property of special importance is stability. In this talk, I will introduce the some of the basic concepts behind mathematical stability along with a number of real-world examples in which stability plays an important role.

This presentation is accessible to most undergraduate students and can be adjusted to the audience.

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