FOCUSED RESEARCH GROUP (FRG) PROJECT, 2003-2007:

Multi-Dimensional Problems for the Euler Equations of Compressible Fluid Flow and Related Problems in Hyperbolic Conservation Laws

Supported by NSF: $1million.

PROJECT SUMMARY

The project is devoted to a mathematical study of the Euler equations governing the motion of an inviscid compressible fluid and related problems. Compressible fluids occur all around us in nature, e.g. gases and plasmas, whose study is crucial to understanding aerodyanmics, atmospheric sciences, thermodynamics, etc. While the one-dimensional fluid flows are rather well understood, the general theory for multi-dimensional flows is comparatively mathematically underdeveloped. The goal of this collaborative research is to advance the mathematical understanding of the multi-dimensional equations of inviscid compressible fluid dynamics and introduce a new generation of researchers to the outstanding problems in the field.

Multidimensional Conservation Laws, SIAM News: Volume 39, Number 5, June 2006.

PRINCIPAL INVESTIGATORS

Some pictures.

SEMESTERS OF EMPHASIS, WORKSHOPS, AND SUMMER SCHOOL

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