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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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The Effects of Viscous Terms on Riemann Problem Solutions for Quadratic Conservation Laws
by
Jane H. Wenstrom
Mississippi University for Women

We study systems of two conservation laws with quadratic flux functions and Riemann initial data. We use the viscous profile criterion for shock admissibility. This criterion leads to the appearance of non-classical transitional shock waves, which are highly dependent on the form of the viscosity matrix. Our goal is to investigate how the structure of solutions of the Riemann problem is affected by the choice of viscosity matrix.

Date received: April 16, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-69.