8 papers
Global existence and time decay for a bipolar Euler-Poisson system with one pressureless and undamped fluid
Young-Pil Choi, Houzhi Tang, Weiyuan Zou
We study the Cauchy problem for a three-dimensional bipolar Euler--Poisson system in which one fluid is pressureless and undamped, while the other is subject to momentum relaxation…
Global dynamics of damped Euler systems with exterior potentials
Young-Pil Choi, Houzhi Tang, Weiyuan Zou
We study the three-dimensional isothermal Euler equations with linear damping and an exterior potential. For sufficiently large damping, we prove global well-posedness for arbitrar…
Time periodic problem of compressible Euler equations with damping on the whole space
Houzhi Tang, Kazuyuki Tsuda
In this article, time periodic problem of the compressible Euler equations with damping on the whole space is studied. It is well known that in the Euler system, long-time behavior…
Well-Posedness and Asymptotic Decay of Solutions to the Three-Dimensional Euler Equations with Damping
Gui-Qiang G. Chen, Feimin Huang, Houzhi Tang +2
The global well-posedness of the multi-dimensional compressible Euler equations with damping remains a longstanding open problem. This problem has been partially resolved in the is…
Enhanced dissipation and temporal decay in the Euler-Poisson-Navier-Stokes equations
Young-Pil Choi, Houzhi Tang, Weiyuan Zou
This paper investigates the global well-posedness and large-time behavior of solutions for a coupled fluid model in consisting of the isothermal compressible Euler-P…
Global well-posedness and large-time behavior of classical solutions to the Euler-Navier-Stokes system in R^3
Feimin Huang, Houzhi Tang, Guochun Wu +1
In this paper, we study the Cauchy problem of a two-phase flow system consisting of the compressible isothermal Euler equations and the incompressible Navier-Stokes equations coupl…
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…
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…