GLOBAL ENTROPY SOLUTIONS TO AN INHOMOGENEOUS ISENTROPIC COMPRESSIBLE EULER SYSTEM

In this article, we develop a new technique to prove the global existene of entropy solutions to an inhomogeneous isentropic compressible Euler equations through the compensated compactness and vanishing viscosity method. In particular, the entropy solutions are uniformly bounded independent of time.     

带线性联络的微分流形上半鞅的水平提升的爆炸时间

设M是带线性联络的光滑流形，F（M）是M上的标架丛，对M上的任意到停时τ为止的连续半鞅，有X对该线性联络而言的到某一停时τ′为止的连续水平提升U。在本短中，我们给出τ′总是等于τ这一事实的一个简短证明。