title: Optimal decay rates for the compressible viscoelastic flows.
abstract: In this paper, we study the compressible viscoelastic flows in three-dimensional whole space. Under the assumption of small initial data, we establish the unique global solution by the energy method. Furthermore, we obtain the time decay rates of the higher-order spatial derivatives of the solution if the initial data belong toL1(ℝ3) additionally.
authors.forename: Yin
authors.initials: Y
authors.lastname: Li
authors.forename: Ruiying
authors.identifier: 0000-0003-2751-6958
authors.initials: R
authors.lastname: Wei
authors.affiliation: Department of Mathematics, Sun Yat-sen University , 510275 Guangzhou, People's Republic of China.
authors.forename: Zheng-An
authors.initials: ZA
authors.lastname: Yao