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Conservation Laws with Discontinuous Gradient-Dependent Flux: the Unstable Case

math.AP · 2024-11-20 · conditional · novelty 6.0

For scalar conservation laws with flux switching on the sign of u_x and f>g convex, the authors construct Riemann solutions, exhibit infinite non-uniqueness for smooth data, and prove existence plus conditional uniqueness of minimal-interface solutions for piecewise monotone data.

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  • Conservation Laws with Discontinuous Gradient-Dependent Flux: the Unstable Case math.AP · 2024-11-20 · conditional · none · ref 6

    For scalar conservation laws with flux switching on the sign of u_x and f>g convex, the authors construct Riemann solutions, exhibit infinite non-uniqueness for smooth data, and prove existence plus conditional uniqueness of minimal-interface solutions for piecewise monotone data.