吉林大学学报(理学版)2024,Vol.62Issue(1):147-155,9.DOI:10.13413/j.cnki.jdxblxb.2023041
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 Fluids Solutions with Gravitational Potential and Damping Terms
摘要
Abstract
We studied the one-dimensional non-Newtonian fluid model with gravitational potential and damping terms.The singularity and strong nonlinearity 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Key words
non-Newtonian fluid/vacuum/singularity/existence and uniqueness分类
数理科学引用本文复制引用
邢慧芳,赵园园,孟秋..一类具有重力势和阻尼项的非牛顿流体解的存在唯一性[J].吉林大学学报(理学版),2024,62(1):147-155,9.基金项目
吉林省教育厅科学技术研究项目(批准号:JJKH20220040KJ). (批准号:JJKH20220040KJ)