Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain

Yusuke Ishigaki; Takayuki Kobayashi

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arXiv · 2505.23169

Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain

Yusuke Ishigaki·Takayuki Kobayashi

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Abstract

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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Yusuke Ishigaki, Takayuki Kobayashi. 2025-05-29. Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain. https://arxiv.org/abs/2505.23169

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