Differential equations and elliptic inequalitties

微分方程和椭圆不等式

• 批准号: 250187-2008
• 负责人: Lan, Kunquan
• 金额: $ 0.87万
• 依托单位: Ryerson University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503709
• 关键词: Differential; equations; elliptic; inequalitties

My NSERC-supported research contributes to the study of some modeling ordinary differential equations and some second order elliptic inequalities. These modeling equations arise from mechanics, biomechanics and fluid dynamics. For example, they include singular second order ordinary differential equations describing the large deflection membrane response of a spherical cap; higher order ordinary differential equations describing the lateral bending of human spine under muscle forces and other transverse loads; the Falkner-Skan equation arising in boundary layer theory and describing the steady two-dimensional flow of a slightly viscous incompressible fluid past wedge shaped bodies. A new theory of variational inequalities will be established in order to give a partial answer to an open question in the field of partial differential inequalities.

我的NSERC支持的研究有助于研究某些建模的普通微分方程和一些二阶椭圆形不平等。这些建模方程来自力学，生物力学和流体动力学。例如，它们包括描述球形帽的大挠度膜响应的奇异二阶普通微分方程；高阶的普通微分方程描述了在肌肉力和其他横向载荷下人脊柱横向弯曲的横向弯曲；在边界层理论中产生的Falkner-Skan方程，并描述了经过楔形体的略有粘性流体的稳定二维流动。将建立一个新的变分不平等理论，以便对部分差异不平等领域的一个公开问题进行部分答复。