most citedAn Analysis of the Riemann Problem for a System of Keyfitz-Kranzer Type Balance Laws With a Time-Dependent Source Term

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

q-bio.QM2026

Parameter identifiability of a neuroendocrine-inflammatory model across experimental designs

Aubrey Ayres, Mitchel J. Colebank

Mathematical modeling helps us identify and investigate complex mechanisms of function. This is especially useful for understanding inflammation, which is a complex, multiscale pro…

math.AP2025★ 1 cited

An Analysis of the Riemann Problem for a System of Keyfitz-Kranzer Type Balance Laws With a Time-Dependent Source Term

Josh Culver, Aubrey Ayres, Evan Halloran +3

We consider a system consisting of one conservation law and one balance law with a time-dependent source term, and provide a comprehensive analysis of Riemann solutions, including…

math.AP2025

An Analysis of the Riemann Problem for a System of Keyfitz-Kranzer Type Conservation Laws Using Shadow Waves and Dafermos Regularization

Josh Culver, Aubrey Ayres, Evan Halloran +3

We consider a system of two conservation laws and provide a detailed description of both classical and non-classical self-similar Riemann solutions. In particular, we demonstrate t…