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.AP2025
The Riemann problem for three-phase foam flow in porous media
Luis Fernando Lozano, Grigori Chapiro, Dan Marchesin
Gas injection in the context of the three-phase flow in porous media appears in applications such as Enhanced Oil Recovery, aquifer remediation, and carbon capture, utilization, an…
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…