Seminar Event Detail

Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, January 23, 2015
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Spectral and nonlinear stability of viscous detonation waves

Abstract:   In this talk, we outline a program, combining analytical and numerical Evans-function techniques, for evaluating the spectral and nonlinear stability of viscous detonation waves. In the relatively simple case of Majda's qualitative combustion model, this program has been completely carried out, and we show how to obtain nonlinear stability results for both strong (Lax-type) and weak (under compressive) detonation waves. Finally, we discuss the extension of this program to the physically relevant case of the Navier-Stokes equations modeling a compressible mixture of reacting gases. The results in this case are surprising.


Speaker:  Greg Lyng
Institution:  University of Wyoming

Event Organizer:   Peter Miller


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