Sam G. Krupa

The computational ansatz for convex integration of hyperbolic systems and a resolution of the Strong Trace Conjecture

In this paper, we consider $2\times2$ hyperbolic systems of conservation laws in one spatial dimension. We use the computational ansatz introduced in the hyperbolic theory by the author and Sz\'ekelyhidi to study the constitutive set corresponding to the PDE. The rank-one convex geometry of this set relates to non-uniq...