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U.S.-Korea Cooperative Science: Navier-Stokes Equations and Related Topics

U.S.-Korea Cooperative Science: Navier-Stokes Equations and Related Topics
美韩合作科学:纳维-斯托克斯方程及相关主题
批准号:
0090112
负责人:
John Lewis
金额:
$1.12万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2001
资助国家:
美国
项目状态:
已结题
起止时间:
2001-06-01 至 2003-06-30

项目摘要

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中文摘要
翻译
0090112刘易斯这个奖项支持教授约翰L。肯塔基州大学数学系的刘易斯与韩国科学技术高级研究所的Hi Jun Choe教授在非线性偏微分方程领域进行合作研究。 这项联合研究将探讨Navier-Stokes方程解的规律性和唯一性。 由于许多物理问题可以用偏微分方程的语言来描述,对这些方程的理论研究可以带来各种技术进步。 交流访问教授刘易斯和崔每个其他部门将使他们联合收割机互补的技能和专业知识,在解决这个重要的数学问题。
英文摘要
0090112LewisThis award supports Professor John L. Lewis, Department of Mathematics, University of Kentucky, to conduct collaborative research with Professor Hi Jun Choe of the Korea Advanced Institute of Science and Technology in the area of nonlinear partial differential equations. This joint study will investigate the regularity and uniqueness of solutions to the Navier-Stokes equations. Because many physical problems can be described in the language of partial differential equations, theoretical study of such equations can lead to a variety of technological advances. Exchange visits by Professors Lewis and Choe to each others departments will allow them to combine complementary skills and expertise in addressing this important mathematical problem.
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会议论文
Dimension of p Harmonic Measure and Related Topics
Applications of Boundary Harnack Inequalities for p Harmonic Functions to Problems in Harmonic Analysis, PDE, and Function Theory
Problems of Existence, Uniqueness, and Dimension in Harmonic Analysis, Function Theory, and Partial Differential Equations
Questions Concerning Parabolic Measure, Uniform Rectifiability and the Kato Square Root Problem
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