摘要
In this paper, we consider the initial value problem for the incompressible generalized Phan-Thien-Tanner(GPTT) model. This model pertains to the dynamic properties of polymeric fluids. Under appropriate assumptions on smooth function f, we find a particular solution to the GPTT model. In dimension three, we establish the global existence and the optimal time decay rates of strong solutions provided that the initial data is close to the particular solution. The results which are presented here are generalizations of the network viscoelastic models.
作者
陈玉惠
姚清河
李敏玲
姚正安
Yuhui CHEN;Qinghe YAO;Minling LI;Zheng-an YAO(School of Aeronautics and Astronautics,Sun Yat-sen University,Guangzhou,510275,China;School of Mathematics,Sun Yat-sen University,Guangzhou,510275,China)
基金
Yuhui Chen was supported by the NNSF of China(12201655)
Qinghe Yao was supported by the NNSF of China (11972384)
the Guangdong Science and Technology Fund (2021B1515310001)
Zheng-an Yao was supported by the NNSF of China (11971496)
the National Key R&D Program of China (2020YFA0712500)。
