项目名称: 几类非线性发展方程和方程组解的性质研究
项目编号: No.11526076
项目类型: 专项基金项目
立项/批准年度: 2016
项目学科: 数理科学和化学
项目作者: 马洁
作者单位: 河南工程学院
项目金额: 3万元
中文摘要: 在粘弹性力学和结构力学等诸多实际领域提出了大量关于时间演化的非线性问题,这些问题在数学上往往是通过一些非线性发展方程和方程组来描述。本项目主要分析来自应用科学中的几类非线性发展方程和方程组解的整体存在和整体解的渐近行为,解的爆破性质和生命跨度。希望本课题的研究能丰富和发展非线性发展方程的理论,并对相关科学技术领域的发展起促进作用。
中文关键词: 非线性发展方程;爆破解;生命跨度;;
英文摘要: There are a lot of nonlinear problems depending on continuous time, which came from viscoelasticity mechanics, structural mechanics and other science. In mathematics, these problems can be modeled by nonlinear evolution equations and systems. In this project, we mainly analyze the global existence and asymptotic behavior, blow-up properties and life-span of some kinds of nonlinear evolution equations arose in applied science. We hope that this project can enrich and develop the theorem of nonlinear evolution equations, and promote the development of the related applied science.
英文关键词: Nonlinear evolution equations;Blow-up solution;Life-span;;