We investigate the long time existence of strong solutions to the initial value problem for the three-dimensional non-isentropic compressible Navier-Stokes-Korteweg system.Under the conditions of slight density and te...
supported by the National Natural Science Foundation of China(12071409)。
In this short paper,we remove the restrictionγ∈(1,3]that was used in the paper"The rate of convergence of the viscosity method for a nonlinear hyperbolic system"(Nonlinear Analysis,1999,38:435-445)and obtain a globa...
supported by the National Natural Science Foundation of China(12101095);the Natural Science Foundation of Chongqing(CSTB2022NSCQ-MSX0949,2022NSCQ-MSX2878,CSTC2021jcyj-msxmX0224);the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202100517,KJQN202300542,KJQN202100511);the Research Project of Chongqing Education Commission(CXQT21014);the grant of Chongqing Young Experts’Workshop.
In this paper,we consider a model of compressible isentropic two-fluid magneto-hydrodynamics without resistivity in a strip domain in three dimensional space.By exploiting the two-tier energy method developed in[Anal ...
supported by the National Natural Science Foundation of China(11871218,12071298);in part by the Science and Technology Commission of Shanghai Municipality(21JC1402500,22DZ2229014)。
We consider the singular Riemann problem for the rectilinear isentropic compressible Euler equations with discontinuous flux,more specifically,for pressureless flow on the left and polytropic flow on the right separat...
partially the NSFC(11671193);Fangqi Chen was partially the NSFC(12172166,11872201)。
In this paper,we study the global existence of BV solutions of the initial value problem for the isentropic p-system,where the state equation of the gas is given by P=Av^(-γ).Forγ>1,the general existence result for ...
partially the National Key R&D Program of China(2022YFA1007300);the NSFC(11901386,12031013);the Strategic Priority Research Program of the Chinese Academy of Sciences(XDA25010403);the NSFC(11801194,11971188);the Hubei Key Laboratory of Engineering Modeling and Scientific Computing。
A global weak solution to the isentropic Navier-Stokes equation with initial data around a constant state in the L^(1)∩BV class was constructed in[1].In the current paper,we will continue to study the uniqueness and ...
Yuxi HU was supported by the NNSFC (11701556);the Yue Qi Young Scholar Project;China University of Mining and Technology (Beijing)。
We investigate the low Mach number limit for the isentropic compressible NavierStokes equations with a revised Maxwell's law(with Galilean invariance) in R^(3). By applying the uniform estimates of the error system, i...
supported by the Natural Science Foundation of Zhejiang(LQ18A010004);Matematical Analysis,The First class courses in Zhejiang Province(210052);the Fundamental Research Funds for the Provincial Universities of Zhejiang(210039);supported by the National Natural Science Foundation of China(11771442)。
In this paper,we study the Radon measure initial value problem for the nonisentropic improved Aw-Rascle-Zhang model.For arbitrary convex F(u)in this model we construct the Riemann solutions by elementary waves andδ-s...
supported by National Natural Science Foundation of China(11931010,11671384,11871047 and 12101372);by the key research project of Academy for Multidisciplinary Studies,Capital Normal University;by the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(007/20530290068).
The initial value problem(IVP)for the one-dimensional isentropic compressible Navier-Stokes-Poisson(CNSP)system is considered in this paper.For the variables,the electric field and the velocity,under the Lagrange coor...
partially supported by the ISFNSFC joint research program(11761141008);NSFC(12071044 and 12131007);the NSF of Jiangsu Province(BK20191296)。
We consider a non-isentropic Euler-Poisson system with two small parameters arising in the modeling of unmagnetized plasmas and semiconductors.On the basis of the energy estimates and the compactness theorem,the unifo...