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math.AP2023
Global well-posedness and large-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction
Fucai Li, Houzhi Tang, Shuxing Zhang
The classical Fourier's law, which states that the heat flux is proportional to the temperature gradient, induces the paradox of infinite propagation speed for heat conduction. To…
math.AP2023
Global well-posedness and optimal time decay rates of solutions to the pressureless Euler-Navier-Stokes system
Feimin Huang, Houzhi Tang, Weiyuan Zou
In this paper, we present a new framework for the global well-posedness and large-time behavior of a two-phase flow system, which consists of the pressureless Euler equations and i…