Mathematical Sciences: Midwest Conference on Partial Differential Equations

DMS-9503652塔塔科夫/刘易斯该奖项将继续部分支持中西部偏微分方程组研讨会，这是一个关于偏微分方程式最新发展的半年度会议。研讨会由几所中西部大学主办，对研究生和年轻的博士后来说特别有价值。他们有机会与来自其他校区的研究数学家见面，并发现他们所在领域的新方面，这些方面在他们自己的机构中没有代表。偏微分方程式是建立物理世界数学模型的基础。数学分析的作用与其说是创建方程，不如说是提供有关解的定性和定量信息。这可能包括回答有关唯一性、平稳性和成长性的问题。此外，分析经常发展出近似解的方法和对这些近似的精度的估计。

DMS-9503652 Tartakoff/Lewis This award will continue to partially support the Midwest Partial Differential Equations Seminar, a semiannual meeting on recent developments in partial differential equations. The Seminar is hosted by several midwest universities, and are of particular value to graduate students and young post-doctorals. They have the opportunity to the meet research mathematicians from other campuses and discover new facets of their field which are not represented at their own institutions. Partial differential equations form a basis for mathematical modeling of the physical world. The role of mathematical analysis is not so much to create the equations as it is to provide qualitative and quantitative information about the solutions. This may include answers to questions about uniqueness, smoothness and growth. In addition, analysis often develops methods for approximation of solutions and estimates on the accuraay of these approximations.