流体力学方程的数学理论

11331005
2013
A0306.混合型、退化型偏微分方程
朱长江
重点项目
教授
华中师范大学
240万元
可压缩流体;Navier-Stokes方程组;两相流方程组;边界层;不可压缩流体
2014-01-01到2018-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Global existence and uniqueness theorem to 2-D incompressible non-resistive MHD system with non-equilibrium background magnetic field 期刊论文 Zhai Cuili;Zhang Ting
2 Dispersive effects of the incompressible viscoelastic fluids 期刊论文 Fang Daoyuan;Zhang Ting;Zi Ruizhao
3 Global weak solution to 3D compressible flows with density-dependent viscosity and free boundary 期刊论文 Wang Mei;Li Zilai;Guo Zhenhua
4 Global well-posedness and decay rates for the three dimensional compressible Oldroyd-B model 期刊论文 Zhou Zhuosi;Zhu Changjiang;Zi Ruizhao
5 Existence of global weak solutions for the Navier-Stokes-Vlasov-Boltzmann equations 期刊论文 Yao Lei;Yu Cheng
6 Global asymmetric slutions of thee dmensional inhomogeneous incompressible Navier-Stokes systerm with nonzero seirl 期刊论文 Chen Hui;Fang Daoyuan;Zhang Ting
7 Almost sure existence of global weak solutions for incompressible MUD equations in negative-order Sobolev space 期刊论文 Du Lihuai;Zhang Ting
8 Global solutions to the Oldroyd-B model with a class of large initial data 期刊论文 Fang Daoyuan;Zi Ruizhao
9 Boundary layers and stabilization of the singular Keller-Segel system 期刊论文 Peng Hongyun;Wang Zhi-An;Zhao Kun;Zhu Changjiang
10 Stability of the superposition of rarefaction wave and contact discontinuity for the non-isentropic Navier-Stokes-Poisson system 期刊论文 Ruan Lizhi;Yin Haiyan;Zhu Changjiang
11 Global classical solutions of the full compressible Navier-Stokes equations with cylindrical or spherical symmetry 期刊论文 Zhao Xinhua;Yao Lei
12 Global existence and optimal decay rates of solutions to a reduced gravity two and a half layer model 期刊论文 Cui Haibo;Yao Lei;Yao Zhengan
13 Point spectrum of the Floquet Hamiltonian for Klein-Gordon equation under quasi-periodic perturbations 期刊论文 Fang Daoyuan;Han Zheng;Wang Weimin
14 Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space 期刊论文 Zhao Jihong;Zhang Ting;Liu Qiao
15 Global existence for a class of large solutions to three-dimensional compressible magnetohydrodynamic equations with vacuum 期刊论文 Hong Guangyi;Hou Xiaofeng;Peng Hongyun;Zhu Changjiang
16 Darcy’s law and diffusion for a two-fluid Euler–Maxwell system with dissipation 期刊论文 Duan Renjun;Liu Qingqing;Zhu Changjiang
17 Local well-posedness for the H^2-critical nonlinear schrodinger equation 期刊论文 Cazenave Thierry;Fang Daoyuan;Han Zheng
18 Vanishing capillarity limit of the non-conservative compressible two-fluid model 期刊论文 Lai Jin;Wen Huanyao;Yao Lei
19 Global symmetric classical solutions of the full compressible Navier–Stokes equations with vacuum and large initial data 期刊论文 Wen Huanyao;Zhu Changjiang
20 Global solution for the generalized anisotropic Navier-Stokes equations with large data 期刊论文 Fang Daoyuan;Han Bin
21 Global small solutions to a complex fluid model in three dimensional 期刊论文 Lin Fanghua;Zhang Ting
22 Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data 期刊论文 Guo Zhenhua;Wang Mei;Wang Yi
23 Existence of global weak solution for a reduced gravity two and a half layer model 期刊论文 Guo Zhenhua;Li Zilai;Yao Lei
24 Global solutions of 3D axisymmetric Boussinesq equations with nonzero swirl 期刊论文 Fang Daoyuan;Le Wenjun;Zhang Ting
25 Smoothing effect on the damping mechanism for an inviscid two-phase gas-liquid model 期刊论文 Ruan Lizhi
26 Vanishing capillarity limit of the compressible fluid models of Korteweg type to the Navier-Stokes equations 期刊论文 Bian Dongfen;Yao Lei;Zhu Changjiang
27 Global solutions to 3D full compressible Navier-Stokesequations with vacuum in some classes of large data 期刊论文 Wen Huanyao;Zhu Changjiang
28 Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD 期刊论文 Ruan Lizhi;Trakhinin Yuri
29 Global existence of weak solution to the free boungary problem for compressible Navier-Stokes 期刊论文 Guo Zhenhua;Li Zilai
30 Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect 期刊论文 Gui Guilong;Liu Yue;Luo Ting
31 On partial regularity problem for 3D Boussinesq equations 期刊论文 Fang Daoyuan;Liu Chun;Qian Chenyin
32 Well-posedness for the 3d incompressible nematic liquid crystal system in the critical l-p framework 期刊论文 Liu Qiao;Zhang Ting;Zhao Jihong
33 Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum 期刊论文 Hong Guangyi;Hou Xiaofeng;Peng Hongyun;Zhu Changjiang
34 Zero dissipation limit to rarefaction wave with vacuum for a one-dimensional compressible non-Newtonian fluid 期刊论文 Fang Li;Guo Zhenhua
35 Asymptotic stability of superposition of stationary and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system 期刊论文 Yin Haiyan;Zhu Changjiang
36 Stability of the rarefaction wave for a coupled compressible Navier-Stokes/Allen-Cahn system 期刊论文 Luo Ting;Yin Haiyan;Zhu Changjiang
37 Global well-posedness of strong solutions to the two-dimensional barotropic compressible Navier-Stokes equations with vacuum 期刊论文 Fang Li;Guo Zhenhua
38 Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum 期刊论文 Wen Huanyao;Zhu Changjiang
39 Blow-up criterion for the incompressibleviscoelastic flows 期刊论文 Feng Zefu;Zhu Changjiang;Zi Ruizhao
40 Asymptotic stability of rarefaction wave for the inflow problem governed by the one-dimensional radiative Euler equations 期刊论文 Fan Lili;Ruan Lizhi;Xiang Wei
41 Global solutions to the 3D incompressible nematic liquid crystal system 期刊论文 Liu Qiao;Zhang Ting;Zhao Jihong
42 Global existence and optimal convergence rates for the strong solutions in H2 to the 3D viscous liquid-gas two-phase flow model 期刊论文 Zhang Yinghui;Zhu Changjiang
43 Global classical solution to a one-dimensional compressible non-Newtonian fluid with large initial data and vacuum 期刊论文 Fang Li;Zhu Huan;Guo Zhenhua
44 Global solutions to the isentropic compressible Navier-Stokes equations with a class of large initial data 期刊论文 Fang Daoyuan;Zhang Ting;Zi Ruizhao
45 Decay rates for a nonconservative compressible generic two-fluid model 期刊论文 Cui Haibo;Wang Wenjun;Yao Lei;Zhu Changjiang
46 Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations 期刊论文 Fan Lili;Ruan Lizhi;Xiang Wei
47 Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions 期刊论文 Hong Guangyi;Luo Tao;Zhu Changjiang
48 The 2D regularized incompressible Boussinesq equations with general critical dissipations 期刊论文 Fang Daoyuan;Le Wenjun;Zhang Ting
49 Global solutions to a one-dimensional non-conservative two-phase model 期刊论文 Evje Steinar;Wen Huanyao;Yao Lei
50 Asymptotic stability of the compressible gas-liquid model with well-formation interaction and gravity 期刊论文 Steinar Evje;Liu Qingqing;Zhu Changjiang
51 On 2-D Boussinesq equations for MHD convection with stratification effects 期刊论文 Bian Dongfen;Gui guilong
52 Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results 期刊论文 Ruan Lizhi;Trakhinin Yuri
53 Global well-posedness and zero diffusion limit of classical solutions to 3Dconservation laws arising in chemotaxis 期刊论文 Peng Hongyun;Wen Huanyao;Zhu Changjiang
54 Local and global existence results for the Navier-Stokes equations in the rotational framework 期刊论文 Fang Daoyuan;Han Bin;Bieber Matthias
55 Rectilinear vortex sheets of inviscid liquid-gas two-phase flow: linear stability 期刊论文 Ruan Lizhi;Wang Dehua;Weng Shangkun;Zhu Changjiang
56 Convergence rate of solutions toward stationary solutions to a viscous liquid-gas two-phase flow model in a half line 期刊论文 Yin Haiyan;Zhu Changjiang
57 Global well-posedness and blow-up of solutions for the Camassa-Holm equations with fractional dissipation 期刊论文 Gui Guilong;Liu Yue
58 Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type 期刊论文 Hou Xiaofeng;Peng Hongyun;Zhu Changjiang
59 Existence of spherically symmetric solutions for a reduced gravity two-and-a-half layer system 期刊论文 Yao Lei;Li Zilai;Wang Wenjun
60 Global classical solutions to the full compressible Navier-Stokes equations with the Robin boundary condition on temperature 期刊论文 Zhang Peixin;Zhu Changjiang
61 On global solutions to the viscous liquid–gas model with unconstrainedtransition to single-phase flow 期刊论文 Evje Steinar;Wen Huanyao;Zhu Changjiang
62 Incompressible limit of Oldroyd-B fluids in the whole space 期刊论文 Fang Daoyuan;Zi Ruizhao
63 Global well-posedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with a class of large velocity 期刊论文 Zhai Cuili;Zhang Ting
64 Asymptotic stability of the compressible Euler-Maxwell equations to Euler-Poisson equations 期刊论文 Liu Qingqing;Yin Haiyan;Zhu Changjiang
65 Optimal decay rates on the solution to the compressible gas–liquid drift-flux model with slip 期刊论文 Hong Guangyi;Zhu Changjiang
66 Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity 期刊论文 Gui Guilong
67 On a shallow-water approximation to the Green–Naghdi equations with the Coriolis effect 期刊论文 Chen Robin Ming;Gui Guilong;Liu Yue
68 On free boundary problem for compressible Navier-Stokes equations with temperature-dependent heat conductivity 期刊论文 Li Zilai;Guo Zhenhua
69 Review on mathematical analysis of some two-phase flow models 期刊论文 Wen Huanyao;Yao Lei;Zhu Changjiang
70 流体力学若干方程组的数学理论 奖励 郭真华;姚磊
71 Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field 期刊论文 Zhang Ting
72 Local and global strong solution to the stochastic 3-D incompressible anisotropic Navier-Stokes equations 期刊论文 Du Lihuai;Zhang Ting
73 Regularity of 3d axisymmetric Navier-Stokes equations 期刊论文 Chen Hui;Fang Daoyuan;Zhang Ting
74 Wang Yuxin, Local strong solutions to a compressible non-Newtonian fluid with density-dependent viscosity 期刊论文 Fang Li;Guo Zhenhua;Wang Yuxin
75 Wang Dongling, Dissipativity of semilinear time fractional subdiffusion equations and numerical approximations 期刊论文 Cheng Bianru;Guo Zhenhua;Wang Dongling
76 Global solution to the incompressible Oldroyd-B model in the critical Lp Framework: the case of the non-small coupling parameter 期刊论文 Zi Ruizhao;Fang Daoyuan;Zhang Ting
77 Vanishing capillarity-viscosity limit for the incompressible inhomogeneous fluid models of Korteweg type 期刊论文 Yang Jing;Yao Lei;Zhu Changjiang
78 Vanishing viscosity limit rarefaction waves for the full compressible fluid models of Korteweg type 期刊论文 Wang Wenjun;Yao Lei
79 Global strong solution to compressible Navier-Stokesequations with density dependent viscosity and temperature dependent heatconductivity 期刊论文 Duan Ran;Guo Ai;Zhu Changjiang
80 Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system 期刊论文 Hou Xiaofeng;Yao Lei;Zhu Changjiang
81 Stability of the rarefaction wave for a two-fluid plasma model with diffusion 期刊论文 Duan Renjun;Liu Shuangqian;Yin Haiyan;Zhu Changjiang
82 Convergence to nonlinear diffusion waves for solutions of Euler equations with time-depending damping 期刊论文 Cui Haibo;Yin Haiyan;Zhang Jinshun;Zhu Changjiang
83 Bounded Sbolev norms for Klein-Gordon equations under non-resonant perturbation 期刊论文 Fang Daoyuan;Han Zheng;Wang Weiming
84 Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system 期刊论文 Hou Xiaofeng;Yao Lei;Zhu Changjiang
85 Model equations and traveling wave solutions for shallow-water waves with the Coriolis effect 期刊论文 Gui Guilong;Liu Yue;Luo Ting
86 Bounded Sbolev norms for Klein-Gordon equations under non-resonant perturbation 期刊论文 Fang Daoyuan;Han Zheng;Wang Weiming
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