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 ...
partially supported by the National Natural Science Foundation of China under grant(No.11701145);the Natural Science Foundation of Henan Province(No.232300420111);the Training Plan for Young Backbone Teachers in Colleges and Universities of Henan Province(No.2024GGJS022);partially supported by the National Natural Science Foundation of China under grant(Nos.1971446,12071113 and 11601492);sponsored by Natural Science Foundation of Henan(No.232300421077);partially supported by the National Natural Science Foundation of China(NNSFC)(No.11901040);Beijing Natural Science Foundation(BNSF)(No.1204030);Beijing Municipal Education Commission(KM202011232020)。
In this paper,we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navier-Stokes equations.The energy equality...
This study predicts the characteristics of a compressible polytropic air spring model. A second-order nonlinear autonomous air spring model is presented. The proposed model is based on the assumption that polytropic p...
supported by the National Natural Science Foundation of China(No.12171305)。
The stability for magnetic field to the solution of the Riemann problem for the polytropic fluid in a variable cross-section duct is discussed.By the vanishing magnetic field method,the stable solutions are determined...
supported by the China Scholarship Council(No.202106100096).
The author studies the 2D isentropic Euler equations with the ideal gas law.He exhibits a set of smooth initial data that give rise to shock formation at a single point near the planar symmetry.These solutions to the ...
supported by the National Natural Science Foundation of China(Nos.12161141004,12371221,11831011,12301277);the Fundamental Research Funds for the Central Universities and Shanghai Frontiers Science Center of Modern Analysis and the Postdoctoral Science Foundation of China(No.2021M692089).
In this paper, the authors consider an approximation to the isentropic planar Magneto-hydrodynamics(MHD for short) equations by a kind of relaxed Euler-type system. The approximation is based on the generalization of ...
supported by National Natural Science Foundation of China(Grant Nos.11971477,12131007 and 11761141008);the Fundamental Research Funds for the Central Universities;the Research Funds of Renmin University of China(Grant No.18XNLG30)。
This paper verifies the low Mach number limit of the non-isentropic compressible magnetohydrodynamic(MHD)equations with or without the magnetic diffusion in a three-dimensional bounded domain when the temperature vari...
National Natural Science Foundation of China(Grant No.11872120).
Taking CL-20(Hexanitrohexaazaisowurtzitane)-based aluminized explosives with high gurney energy as the research object, this research experimentally investigates the work capability of different aluminized explosive f...