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Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces
Journal of Mathematical Fluid Mechanics ( IF 1.3 ) Pub Date : 2021-05-05 , DOI: 10.1007/s00021-021-00578-y
Yuhui Chen , Minling Li , Qinghe Yao , Zheng-an Yao

A new Generalized Phan–Thien–Tanner (GPTT) model is derived from a Lodge–Yamamoto type of network theory for the polymeric fluids. The GPTT model is developed to describe the rheological behavior of the viscoelastic fluids. In this paper, we investigate the initial-value problem for the GPTT model. Under the norm of the initial data is a small perturbation around some particular solution, we prove that the strong solution exists globally in critical Besov spaces.



中文翻译:

临界Besov空间中三维广义Phan–Thien–Tanner模型的整体适定性

一种新的广义Phan–Thien–Tanner(GPTT)模型是从Lodge-Yamamoto类型的聚合物流体网络理论推导出来的。GPTT模型被开发用来描述粘弹性流体的流变行为。在本文中,我们研究了GPTT模型的初值问题。在初始数据的范式下,围绕某个特定解有很小的扰动,我们证明了强解存在于关键的Besov空间中。

更新日期:2021-05-05
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