We extend the traditional kinetic scheme for ideal gases to the Euler equations with the equation of state for a multi-component stiffened gas. Based on a careful analysis of the oscillation mechanism of the tradition...
supported by National Natural Science Foundation of China(Grant No.40890154);National Basic Research Program(Grant No.2005CB321700);supported by National Natural Science Foundation of China(Grant No.10701011);supported by National Natural Science Foundation of China(Grant No.10431060);Beijing Nova Program,Program for New Century Excellent Talentsin University,Huo Ying Dong Foundation(Grant No.111033);supported by National Natural Science Foundation of China(Grant No.10901011);Beijing Municipal Natural Science Foundation(Grant No.1102009);Foundation for Talents of Beijing(Grant No.20081D0501500171)
The quasi-neutral limit of the multi-dimensional non-isentropic bipolar Euler-Poisson system is considered in the present paper. It is shown that for well-prepared initial data the smooth solution of the non-isentropi...
supported by the China Postdoctoral Science Foundation (20090450333);supported by the National Basic Research Program (2005CB321700);NSFC (40890154)
We study an initial boundary value problem for the Navier-Stokes equations of compressible viscous heat-conductive fluids in a 2-D periodic domain or the unit square domain. We establish a blow-up criterion for the lo...