supported by NSFC(11371042);China 973 program(2011 CB808002);BSFC(1132006);CIT&TCD(20130312);the fund of the Beijing Education Committee(KZ 201210005005)
The incompressible limit of the non-isentropic magnetohydrodynamic equations with zero thermal coefficient, in a two dimensional bounded domain with the Dirichlet condi- tion for velocity and perfectly conducting boun...
supported by the National Natural Science Foundation of China(41205041);Chinese Special Fund for Meteorology(GYHY201406020);National Basic Research Program of China(2012CB417205);LCS Open Funds for Young Scholars(2014)
We analyze the relationships between strato- spheric polar vortex anomalies and cooling events in eastern China using isentropic reanalysis data from the European Center for Medium-Range Weather Forecasts. Daily mean ...
supported by National Basic Research Program of China(973 Program)(Grant No.2011CB808002);the National Center for Mathematics and Interdisciplinary Sciences,Academy of Mathematics and Systems Science,Chinese Academy of Sciences and the Chinese Academy of Sciences Program for Cross&Cooperative Team of the Science&Technology Innovation,National Natural Sciences Foundation of China(Grant Nos.11171326,11371064 and 11401565);the General Research Fund of Hong Kong(Grant No.City U 103412)
We study the vanishing viscosity of the Navier-Stokes equations for interacting shocks. Given an entropy solution to p-system which consists of two different families of shocks interacting at some positive time,we sho...
supported by National Basic Research Program of China (Grant No. 2011CB309705);National Natural Science Foundation of China (Grant Nos. 11229101, 11371065 and 11271184);Program for New Century Excellent Talents in University (Grant No. 110227);the Priority Academic Program Development of Jiangsu Higher Education Institutions;the Fundamental Research Funds for the Central Universities
We investigate the zero dielectric constant limit to the non-isentropic compressible Euler-Maxwell system.We justify this singular limit rigorously in the framework of smooth solutions and obtain the nonisentropic com...
supported by NSFC (10872004);National Basic Research Program of China (2010CB731500);the China Ministry of Education (200800010013)
The isentropic bipolar compressible Navier-Stokes-Poisson (BNSP) system is investigated in R3 in the present paper. The optimal time decay rate of global strong solution is established. When the regular initial data...
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...