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Publication 24-CNA-002

Inviscid Burgers as a degenerate elliptic problem

Uditnarayan Kouskiya
Department of Civil & Environmental Engineering
Carnegie Mellon University
Pittsburgh, PA 15213

Amit Acharya
Dept. of Civil & Environmental Engineering
Center for Nonlinear Analysis
Carnegie Mellon University
Pittsburgh, PA 15213

Abstract: We demonstrate the feasibility of a scheme to obtain approximate weak solutions to the (inviscid) Burgers equation in conservation and Hamilton-Jacobi form, treated as degenerate elliptic problems. We show different variants recover non-unique weak solutions as appropriate, and also specific constructive approaches to recover the corresponding entropy solutions.

Get the paper in its entirety as  24-CNA-002.pdf

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