Methods and Applications of Analysis

Volume 20 (2013)

Number 2

Five open problems in compressible mathematical fluid dynamics

Pages: 197 – 210

DOI: http://dx.doi.org/10.4310/MAA.2013.v20.n2.a6

Author

Denis Serre (UMPA, UMR CNRS, École Normale Supérieure de Lyon, France)

Abstract

The problems below are motivated by some of the works I did in the past. They deal with the dynamics of compressible fluids, either viscous or inviscid. They could be good questions for mathematicians having originality and technical strength. They are not worth a million dollars, even not a penny, but they are interesting in their own.

Keywords

Euler equations, shock waves, vacuum, compensated compactness

2010 Mathematics Subject Classification

35L60, 35L65, 35L67, 76L05, 76N10, 76N15

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