Diffusion wave phenomena and L decay estimates of solutions of compressible viscoelastic system
Diffusion wave phenomena and L decay estimates of solutions of compressible viscoelastic system
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DOI：
10.1016/j.jde.2020.07.020
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发表时间：
2020-05
影响因子：
2.4
通讯作者：
Y. Ishigaki
中科院分区：
文献类型：
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作者：
Y. Ishigaki
我们考虑描述整个空间中可压缩粘弹性流体运动的方程组。我们研究了静止状态周围解的大时间行为，并获得了 1< p≤∞ 的解的 L p 衰减估计，前提是初始数据足够接近静止状态。此外，我们还阐明了声波和弹性剪切波引起的扩散波现象。
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≤∞, 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.