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Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid
Authors:Fei Jiang  Zhong Tan
Affiliation:School of Mathematical Sciences, Xiamen University, Fujian, Xiamen 361005, China
Abstract:In this paper, we consider the global behavior of weak solutions of the Navier-Stokes system of compressible barotropic self-gravitating fluids in time in a bounded three dimension domain-arbitrary forces. Under certain restrictions imposed on the adiabatic constant γ, we prove the existence of global compact attractors.
Keywords:Compressible Navier-Stokes equations   Asymptotic compactness   Weak solution   Bounded absorbing set   Attractor   Closed trajectory   Short trajectory
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