supported by the National Natural Science Foundation of China(Nos.11471215,11031001,11121101,11626156);Shanghai Leading Academic Discipline Project(No.XTKX2012);the Key Laboratory of Mathematics for Nonlinear Sciences(Fudan University);the Ministry of Education of China,Shanghai Key Laboratory for Contemporary Applied Mathematics,School of Mathematical Sciences,Fudan University and 111 Program of MOE,China(No.B08018)
In this paper, the global well-posedness of the three-dimensional incompressible Navier-Stokes equations with a linear damping for a class of large initial data slowly varying in two directions are proved by means of ...
supported by National Natural Science Foundation of China (Grant Nos. 11031001, 11101101 and 11421061)
This article is a survey on the progress in the study of the generalized Riemann problems for MD Euler system. A new result on generalized Riemann problems for Euler systems containing all three main nonlinear waves(s...
supported by NNSF of China(10971134,11031001,91230102,11371250)
In this paper, we are concerned with the local structural stability of one-dimensional shock waves in radiation hydrodynamics described by the isentropic Euler-Boltzmann equations. Even though in this radiation hydrod...
supported by NSFC(91130021);Jin Qi is supported by NSFC(1171037,11201033);CAEP under project 2012A0202010;Jiequan Li is supported by NSFC(91130021,11371063,11031001);the Doctoral program from Educational Ministry(20130003110004);an open project from Institute of Applied Physics and Computational Mathematics,Beijing。
In this paper,a remapping-free adaptive GRP method for one dimensional(1-D)compressible flows is developed.Based on the framework of finite volume method,the 1-D Euler equations are discretized on moving volumes and t...
supported in part by National Natural Science Foundation of China(Grant No. 11031001);the Doctorial Foundation of National Educational Ministry (Grant No. 20090071110002);Tianyuan Fund of Mathematics (Grant No. 11126181)
In this paper,we study two-dimensional Riemann boundary value problems of Euler system for the isentropic and irrotational Chaplygin gas with initial data being two constant states given in two sectors respectively,wh...
supported in part by National Natural Science Foundation of China(Grant No. 11031001);the Doctorial Foundation of National Educational Ministry (Grant No. 20090071110002);Tianyuan Fund of Mathematics (Grant No. 11126181)
In this paper,we study two-dimensional Riemann boundary value problems of Euler system for the isentropic and irrotational Chaplygin gas with initial data being two constant states given in two sectors respectively,wh...
supported by the Key Program from Beijing Educational Commission(KZ200910028002);PHR(IHLB)and NSFC(10971142,11031001);supported by the National Basic Research Program under the Grant 2005CB321703;the National Natural Science Foundation of China(No.10925101,10828101);the Program for New Century Excellent Talents in University(NCET-07-0022);the Doctoral Program of Education Ministry of China(No.20070001036).
The adaptive generalized Riemann problem(GRP)scheme for 2-D compressible fluid flows has been proposed in[J.Comput.Phys.,229(2010),1448–1466]and it displays the capability in overcoming difficulties such as the start...