dc.contributor.author 曹镇潮 dc.contributor.author 陈彭年 dc.date.accessioned 2017-11-14T02:50:33Z dc.date.available 2017-11-14T02:50:33Z dc.date.issued 2005-12-15 dc.identifier.citation 应用数学和力学,2005,(12):105-110 dc.identifier.issn 1000-0887 dc.identifier.other YYSX200512013 dc.identifier.uri https://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.abstract For 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.iso zh_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.subject filtration equation dc.subject priori estimate for the solution dc.subject asymptotic non-stability dc.subject blow-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.alternative Asymptotic Non-Stability and Blow-up at the Boundary for the Solutions of a Filtration Equation dc.type Article
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