Global existence of classical solutions for a reactive polymeric fluid near equilibrium
Global existence of classical solutions for a reactive polymeric fluid near equilibrium
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DOI：
10.1007/s00526-022-02218-3
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发表时间：
2021-01
影响因子：
2.1
通讯作者：
Chun Liu;Yiwei Wang;Teng-Fei Zhang
中科院分区：
文献类型：
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作者：
Chun Liu;Yiwei Wang;Teng-Fei Zhang
在本文中，我们研究了一种新的反应性聚合物流体微观宏观模型，该模型最近由 Wang 等人推导。 (J Non-Newton Fluid Mech 293:104559, 2021)，通过使用能量变分方法。该模型将微观聚合物的断裂/重整反应方案与通常粘弹性复杂流体中的其他力学效应耦合起来。我们建立了接近全局平衡的经典解的全局存在性，其中对化学-机械耦合效应的处理是最关键的部分。特别是，采用带有均值的加权庞加莱不等式来克服每个物种的非保守数密度分布带来的困难。
In this paper, we study a new micro-macro model for a reactive polymeric fluid, which is derived recently in Wang et al. (J Non-Newton Fluid Mech 293:104559, 2021), by using the energetic variational approach. The model couples the breaking/reforming reaction scheme of the microscopic polymers with other mechanical effects in usual viscoelastic complex fluids.We establish the global existence of classical solutions near the global equilibrium, in which the treatment on the chemo-mechanical coupling effect is the most crucial part. In particular, a weighted Poincaré inequality with a mean value is employed to overcome the difficulty that arises from the non-conservative number density distribution of each species.