Global classical solutions of the damped pressureless Euler-Poisson system with asymptotically constant backgrounds converge to the equilibrium, and decay exponentially when the background does.
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Large-time behavior of pressureless Euler--Poisson equations with background states
Global classical solutions of the damped pressureless Euler-Poisson system with asymptotically constant backgrounds converge to the equilibrium, and decay exponentially when the background does.