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一类具有重力势和阻尼项的非牛顿流体解的存在唯一性

邢慧芳 赵园园 孟秋

吉林大学学报(理学版)2024,Vol.62Issue(1):147-155,9.
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

邢慧芳 1赵园园 1孟秋1

作者信息

  • 1. 北华大学数学与统计学院,吉林吉林 132013
  • 折叠

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)

吉林大学学报(理学版)

OA北大核心CSTPCD

1671-5489

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