On the cauchy problem to the system of one-dimensional isentropic/isothermal in compressible flow*

摘要

This paper considers the Cauchy problem to the system of one-dimensional isentropic/isothermal compressible flowwhere #x3B5;; 0 is a constant,is the adiabatic exponent. A global existence result with large initial data is established by employing Chueh, Conley, and smoller's theory of positively invariant regions, the method of energy integral, and some delicate estimates.