TAIWANESE JOURNAL OF MATHEMATICS

Vol. 4, No. 1, pp. 32-44,  March 2000

　

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    SOME RECENT RESULTS ON COMPRESSIBLE FLOW WITH VACUUM

　

Tong Yang
　

Abstract.
              In this paper, we will survey some recent results on the study of the viscous and invisid compressible flow with vacuum. It is well-known that the study on vacuum has significance in the investigation on some important physical phenomena. However, most of the important questions about vacuum are still open due to the singularities caused by vacuum which need new mathematical tools and techniques to handle.

　

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Received November 19, 1999.

Communicated by P. Y. Wu.

2000 Mathematics Subject Classification: 35L65.

Key words and phrases: Vacuum, compressible flow, isentropic gas, frictional damping and viscosity.