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math.AP2025
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…
math.AP2025
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…
math.AP2025
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…