On Global Lipshitz-continuous Solutions of Isentropic Gas Dynamics

Building on work in [Yunguang Lu (1993). The global Hölder continuous solution of isentropic gas dynamics. Proc. Roy. Soc. Edinburgh Sect ., 123A , 231-238.] we consider the Cauchy problem for the isentropic equations of gas dynamics in Eulerian coordinates. For a certain class of initial data we prove existence of Lipshitz-continuous solution for a wide class of the pressure functions.

Keywords:

• Hyperbolic Conservation Laws
• Existence
• Smooth Solutions
• Isentropic Gas Dynamics