Regular flows of weakly compressible viscoelastic fluids and the incompressible limit
Regular flows of weakly compressible viscoelastic fluids and the incompressible limit
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DOI：
10.3934/dcdsb.2010.14.1001
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发表时间：
2010-07
影响因子：
1.2
通讯作者：
C. Guillopé;Zaynab Salloum;Raafat Talhouk
中科院分区：
文献类型：
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作者：
C. Guillopé;Zaynab Salloum;Raafat Talhouk
我们考虑可压缩粘弹性流体满足Oldroyd本构律。我们证明了流的局部存在性（和唯一性）的经典不动点的论点。我们还证明了一些整体性质的解决方案。特别地，我们得到了一些在马赫数上一致的先验估计，证明了弱可压缩流体流动的整体存在性。我们表明，弱可压缩流与良好的准备的初始数据收敛到不可压缩的马赫数收敛到零时。
We consider compressible viscoelastic fluids satisfying the Oldroyd constitutive law. We prove the local existence (and uniqueness) of flows by a classical fixed point argument. We also prove some global properties of the solutions. In particular, we obtain some a priori estimates which are uniform in the Mach number and prove global existence of weakly compressible fluids flows. We show that weakly compressible flows with well-prepared initial data converge to incompressible ones when the Mach number converges to zero.