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

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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.