gas dynamics time rescaling separation by processes
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 29, No 1, (2018), 117p-126p
We show that a special change of time variable allows to obtain splitting by physical processes in the barotropic gas dynamics equations. Namely, on the first time step the gas dynamics can be reduced to nonlinear heat equation, whereas on the second step the same system can be reduced to the pressureless gas dynamics equations with a friction term. We discuss also how the Cauchy data can be used on every step. Further, we show that in several cases there exists analytical representation of solution. 2010 Mathematics Subject Classification: 76N99.