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math.AP2026
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…
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
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…