2 papers
math.AP2026
Asymptotic Stability of Rarefaction Waves for the Hyperbolized Navier-Stokes-Fourier System
Yuxi Hu, Mengran Yuan, Jie Zhang
This paper investigates the asymptotic stability of rarefaction waves for a one-dimensional compressible fluid system, where the Newton's law of viscosity and Fourier's law of heat…
math.AP2026
Time-asymptotic stability of composite waves of degenerate Oleinik shock and rarefaction for non-convex conservation laws with Cattaneo's law
Yuxi Hu, Ran Song
This paper examines the large-time behavior of solutions to a one-dimensional conservation law featuring a non-convex flux and an artificial heat flux term regulated by Cattaneo's…