Inviscid Burgers as a degenerate elliptic problem

Uditnarayan Kouskiya                    Amit Acharya

We demonstrate the feasibility of a scheme to obtain approximate weak solutions to (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.

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