A SHOCK-FREE STRONG COMPRESSION OF GAS WITH ACTUAL EQUATIONS OF STATE

S.A. Yagupov
VANT. Ser.: Mat. Mod. Fiz. Proc 2001. Вып.2. С. 49-58.

An equation of state for actual gas is considered. The paper sets two characteristic Cauchy problems, which sequential solution describes a shock-free gas compression with the above actual equation of state. The existence of a local analytical solution for these problems in the vicinity of a background flow is proved. To do this the above problems are limited to a type for which Bautin S.P. has proved the analog of Kovalevskaya theorem. The analysis of zero factors, which set the solution of the first problem allows to conclude that this actual gas can be compressed shock-free up to the finite density only. An isentrope is calculated for this actual equation of state, which shows that the equation of state being considered not only meets physical requirements, but also passes the property like that one revealed under zero factors analysis.