Workshop on Mathematical Hydrodynamics at the Steklov Institute; Moscow, Russia; June 12-17, 2006

摘要DMS 0543432 C E韦恩，波士顿大学斯捷克洛夫研究所数学流体力学研讨会这是一项支持美国研究人员参加斯捷克洛夫研究所数学流体力学研讨会的建议，该研讨会计划于2006年6月12日至17日举行。拟议活动的智力价值：研讨会的主题是流体动力学理论的数学方面，其中包括研究欧拉方程和流体动力学的Navier-Stokes方程，以及自由表面上的波浪动力学方程。在过去几年中，在这一领域的一些最基本和最困难的问题上取得了进展。这些进展进一步加深了对描述这些系统的基本非线性偏微分方程的数学理解，并阐明了它们所模拟的基本物理过程。本次会议的目的是向对这些主题感兴趣的国际研究人员介绍最新技术，并讨论该领域未来发展的前景。这将有助于传播该领域的知识现状，并突出进一步发展的成熟途径。此外，来自该基金的资金允许初级和资金不足的美国研究人员参加这项活动，否则他们可能没有机会这样做。

Abstract DMS 0543432 C E Wayne, Boston UniversityWorkshop on Mathematical Hydrodynamics at the Steklov Institute This is a proposal for support for US-based researchers to attend the Workshop on Mathe-matical Hydrodynamics at the Steklov Institute that is being planned for the week of June12 - 17, 2006.Intellectual merit of the proposed activity: The subject matter of the workshop ismathematical aspects of the theory of hydrodynamics, which includes the study of Euler'sequations and the Navier - Stokes equations of fluid dynamics, as well as the equations forthe dynamics of waves on free surfaces. In the past several years, there has been progress ona number of the most basic and difficult questions in this field. These advances further themathematical understanding of the fundamental, nonlinear, partial differential equationsthat describe these systems and also shed light on the basic physical processes they model.Broader impact of the proposed activity: The purpose of this meeting is to presentthe state of the art to the diverse international community of researchers who have aninterest in these topics, and to discuss the perspectives for the next advances in the field.This should aid in the dissemination of the current state of the knowledge in this area andalso highlight avenues ripe for further progress. Furthermore, the funds from this grantwill allow both junior and underfunded US researchers to participate in the event whomight not otherwise have the opportunity to do so.