一类具有重力势和阻尼项的非牛顿流体解的存在唯一性  

Existence and Uniqueness of a Class of Non-Newtonian FluidsSolutions with Gravitational Potential and Damping Terms

作　　者：邢慧芳 赵园园 孟秋 XING Huifang;ZHAO Yuanyuan;MENG Qiu(School of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China)

机构地区：[1]北华大学数学与统计学院,吉林吉林132013

出　　处：《吉林大学学报（理学版）》2024年第1期147-155,共9页Journal of Jilin University:Science Edition

基　　金：吉林省教育厅科学技术研究项目(批准号:JJKH20220040KJ)。

摘　　要：研究一维情形下具有重力势和阻尼项的非牛顿流体模型,用正则化方程并构造逼近解的方法解决奇异性和强非线性,假设相容性条件得到具有正密度解的存在性,进一步得到耦合方程组在真空条件下局部解的存在唯一性结果.We studied the one-dimensional non-Newtonian fluid model with gravitational potential and damping terms.The singularity and strong non linearity were solved by using the method of regularization equations and constructing approximate solutions.The existence of the positive density solution was obtained by assuming the compatibility condition.Furthermore,the existence and uniqueness of local solutions for coupled equations under vacuum conditions were obtained.

关 键 词：非牛顿流 真空 奇异性 存在唯一性 

分 类 号：O411.1[理学—理论物理]