Isentropic Approximation and Gevrey Regularity for the Full Compressible Euler Equations in R-N

摘要

The article is devoted to the study of isentropic approximation and Gevrey regularity for the full compressible Euler system in R-N (or T-N) with any dimension N >= 1. We first establish the existence and uniqueness of solution in Gevrey function spaces G(sigma,s)(r)(R-N), then with the definition modulus of continuity, we show that the solution of Euler system is continuously dependent of the initial data v(0) in G(sigma,s)(r)(R-N). Finally, the isentropic approximation is investigated in Banach spaces B-T(nu) (R-N), provided the initial entropy S-0(x) changes closing a constant (S) over bar in Gevrey function spaces G(sigma,s)(r)(R-N).