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Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain
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Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain
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math.AP
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systemwavearoundcompressibledecaydiffusiondomainenergy
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We study the large time behavior of solutions to the system of equations describing motion of compressible viscoelastic fluids. We focus on the linearized system around a motionless state in a three-dimensional exterior domain and derive the local energy decay estimate of its solution to give the diffusion wave phenomena caused by sound wave viscous diffusion and elastic shear wave.
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