S. NJAMKEPO (Villetaneuse) GLOBAL EXISTENCE FOR A ONE-DIMENSIONAL MODEL IN GAS DYNAMICS

Abstract. We prove the existence of a global solution for a one-dimensio-nal Navier–Stokes system for a gas with internal capillarity. 0. Introduction. Several works on Navier–Stokes equations for viscous compressible fluids give global existence and regularity results for small ini-tial data (for an example see Kazhikhov and Shelukin [K-S], Matsumura and Nishida [M-N] and their bibliography). One difficulty lies in the fact that the system is neither parabolic nor hyperbolic, and the regularization (b