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math.AP2026
The computational ansatz for convex integration of hyperbolic systems and a resolution of the Strong Trace Conjecture
Sam G. Krupa
In this paper, we consider hyperbolic systems of conservation laws in one spatial dimension. We use the computational ansatz introduced in the hyperbolic theory by the a…
math.AP2026
The unique limit of the Glimm-Lax construction for Sobolev data and obstructions to 1-d convex integration
Jeffrey Cheng, Cooper Faile, Sam G. Krupa
We consider a genuinely nonlinear -d system of hyperbolic conservation laws with two unknowns. A famous construction of Glimm & Lax shows that global-in-time "Glimm-Lax" weak en…