Cooper Faile

The Unique Limit of the Glimm–Lax Construction for Sobolev Data and Obstructions to 1-d Convex Integration

Abstract We consider a genuinely nonlinear 1-d system of hyperbolic conservation laws with two unknowns. A famous construction of Glimm & Lax shows that global-in-time “Glimm–Lax” weak entropy solutions exist in this setting for any initial data with small $$L^\infty $$ L ∞ norm...