摘要
研究一类具有初始真空和线性阻尼的非Newton流体初边值问题.在初始能量小,且初值满足一定相容性的条件下,利用加权能量估计技巧和Zlotnik不等式克服动量方程黏性项的非线性性,证明密度函数具有时间的一致上界.进而采用连续性方法得到该非Newton流体初边值问题整体强解的存在唯一性结论.
We studied the initial-boundary value problem of a class of non-Newtonian fluids with initial vacuum and linear damping.Under the condition that the initial energy was small and the initial value met certain compatibility,we used the technique of weighted energy estimation a nd Zlotnik inequality to overcome the nonlinearity of the viscous term of the momentum equation,and proved that the density function had a uniform upper bound of time.Furthermore,we adopted the continuity method to obtain the existence and uniqueness conclusion of the global str ong solution of the initial-boundary value problem of non-Newtonian fluid.
作者
蔡欣池
李华鹏
CAI Xinchi;LI Huapeng(School of Science,Northeast Electric Power University,Jilin 132012,Jilin Province,China;School of Science,Jilin University of Chemical Technology,Jilin 132012,Jilin Province,China)
出处
《吉林大学学报(理学版)》
北大核心
2026年第1期134-142,共9页
Journal of Jilin University:Science Edition
基金
吉林省自然科学基金(批准号:20230101374JC)
东北电力大学横向自然科学基金(批准号:NEEPU20230258)。
关键词
整体强解
非Newton流体
初始真空
加权估计
global strong solution
non-Newtonian fluid
initial vacuum
weighted estimation
