BYU

Abstract by Taylor Paskett

Personal Infomation


Presenter's Name

Taylor Paskett

Degree Level

Undergraduate

Co-Authors

Blake Barker
Kevin Zumbrun

Abstract Infomation


Department

Mathematics

Faculty Advisor

Blake Barker

Title

Stability of Traveling Waves in Compressible Navier-Stokes

Abstract

We develop a method for proving stability of traveling waves in compressible Navier-Stokes using rigorous numerical verification. We use interval arithmetic to obtain complete error bounds on all computations, including machine truncation error. We explain several novel methods that we employed to reduce numerical error in the computer-assisted computations.