3 papers
math.AP2026
When Do Riemann Solutions Consist of Rarefactions, Jumps, and Constants?
Bradley J. Plohr, Stephen Schecter, Dan Marchesin
A solution of a Riemann problem for a strictly hyperbolic system of conservation laws is traditionally expected to consist of rarefaction waves, jump discontinuities, and constant…
math.AP2024
Structure of undercompressive shock waves in three-phase flow in porous media
L. F. Lozano, I. Ledoino, B. J. Plohr +1
Undercompressive shocks are a special type of discontinuities that satisfy the viscous profile criterion rather than the Lax inequalities. These shocks can appear as a solution to…
math.AP2024
Solving Riemann Problems with a Topological Tool (Extended version)
Cesar S. Eschenazi, Wanderson J. Lambert, Marlon M. López-Flores +3
In previous work, we developed a topological framework for solving Riemann initial-value problems for a system of conservation laws. Its core is a differentiable manifold, called t…