Mathematical Sciences: Some Initial-Boundary-Value Problems arising from New Constitutive Equations for the Creep of Ice

数学科学：冰蠕变新本构方程引起的一些初始边界值问题

• 批准号: 8703731
• 负责人: Chi-Sing Man
• 金额: $ 3.32万
• 依托单位: University of Kentucky Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-15 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8703731&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Some; Initial; Boundary

This research program investigates the solvability in the large of initial-boundary value problems for two classes of third order systems of nonlinear partial differential equations. These two classes of equations have been proposed as more sophisticated models for ice mechanics which incorporates the effects of primary and secondary creep of polycrystalline ice. The stability of the solution of the initial-boundary value problem will also be analyzed. The research results are expected to have a significant impact on glaciology and Artic engineering,

本研究程序主要研究两类三阶非线性偏微分方程组的初边值问题的可解性。这两类方程被提出为更复杂的冰力学模型，它包含了多晶冰的初级和次级蠕变的影响。并对初边值问题解的稳定性进行了分析。预计研究成果将对冰川学和北极工程学产生重大影响，