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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

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中文摘要
翻译
0090112Lewis该奖项支持肯塔基大学数学系的John L. Lewis教授与韩国科学技术院的Hi Jun Choe教授在非线性偏微分方程领域进行合作研究。 这项联合研究将研究纳维-斯托克斯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,因此对此类方程的理论研究可以带来各种技术进步。 刘易斯教授和崔教授对彼此院系的互访将使他们能够结合互补的技能和专业知识来解决这一重要的数学问题。
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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