Research of the Existence of Solution About Non-Newton Filtration Eouation

摘要：

This paper is mainly a survey of Cauchy problem for non-Newton filtration equation as follow: ut=div〔|▽um|p-2▽um〕,QT=RN×(0,T),u(x:0)=u0(x),(A)x∈RN where p＞1,0＜m≤1,0＜T＜∞,m(p-1)＜1.The principal results are the following: When Uo∈C∞(RN) and allowing u0 have a certain increasing, and if u0∈C∞(RN) satisfy the following condition: C1〔1+|x|p/p-1〕p-1/m(p-1)-1≤u0(x)≤C2〔1+|x|p/p-1〕 p-1/1-m(p-1),(A)x∈RN, where C1＜C2 are positive constants, then initial value problems exist a local generalized solutions.

关键词： non-Newton filtration equation Cauchy problem locally generalized solutions

作者: DOU Lijun LEI Yan DU Xiaolei

作者单位: Dept. of Civil Engineering, Changchun Institute of Technology, P.R.Chnia, 130021 Dept. of Civil Engineering, Jilin Institute of Architecture and Civil Engineering, P.R.Chnia, 130021 Construction Engineering College, Jilin University, P.R.Chnia, 130000

会议类型: 国际会议

会议名称: 2010 International Symposium on Multi-field Coupling Theory of Rock and Solid Midia and Its Applications(2010年岩土多场耦合理论及应用国际学术论坛)

会议地点: 成都

会议语种:英文

页码: 37-41

在线出版日期: 2010-10-10（万方平台首次上网日期，不代表论文的发表时间）