Methods and Applications of Analysis
Volume 20 (2013)
Five open problems in compressible mathematical fluid dynamics
Pages: 197 – 210
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.
Euler equations, shock waves, vacuum, compensated compactness
2010 Mathematics Subject Classification
35L60, 35L65, 35L67, 76L05, 76N10, 76N15