Show simple item record

dc.contributor.author曹镇潮
dc.contributor.author陈彭年
dc.date.accessioned2017-11-14T02:50:33Z
dc.date.available2017-11-14T02:50:33Z
dc.date.issued2005-12-15
dc.identifier.citation应用数学和力学,2005,(12):105-110
dc.identifier.issn1000-0887
dc.identifier.otherYYSX200512013
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/154652
dc.description.abstract对一类具有非线性第二、第三边值条件的非线性渗流方程,证明了解的先验的界可以用初值和解在区域边界上的积分来估计和控制.这一先验估计是通过迭代技巧来建立的.根据这个估计,解可能在边界上爆破(Blow_up)从而解有渐近不稳定性.
dc.description.abstractFor a class of nonlinear Filtration equation with nonlinear second-third boundary value condition,it is shown that a priori boundary of the solution can be estimated and controlled by initial data and integral on the boundary of the region.The priori estimate of the solutions was established by iterative method.By using this estimate the solutions may blow-up on the boundary of the region and thus it may have asymptotic non-stability.
dc.description.sponsorship国家自然科学基金资助项目(6027400810171084)
dc.language.isozh_CN
dc.subject渗流方程
dc.subject解的先验估计
dc.subject渐近不稳定性
dc.subject解在边界上的Blow-up
dc.subjectfiltration equation
dc.subjectpriori estimate for the solution
dc.subjectasymptotic non-stability
dc.subjectblow-up on the boundary
dc.title一类渗流方程解在边界上的不稳定性和Blow-up
dc.title.alternativeAsymptotic Non-Stability and Blow-up at the Boundary for the Solutions of a Filtration Equation
dc.typeArticle


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record