Diffusion wave phenomena and $L^p$ decay estimates of solutions of compressible viscoelastic system

Yusuke Ishigaki

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arXiv · 2005.01398

Diffusion wave phenomena and $L^p$ decay estimates of solutions of compressible viscoelastic system

Yusuke Ishigaki

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Abstract

We consider the system of equations describing motion of compressible viscoelastic fluids in a whole space. We investigate the large time behavior of solutions around a motionless state, and obtain the $L^p$ decay estimates of solutions for $1<p\leq\infty$, provided that the initial data is sufficiently close to the motionless state. In addition, we clarify the diffusion wave phenomena caused by the sound wave and the elastic shear wave.

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Yusuke Ishigaki. 2020-05-04. Diffusion wave phenomena and $L^p$ decay estimates of solutions of compressible viscoelastic system. https://arxiv.org/abs/2005.01398

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