Boltzmann方程的数学理论

11731008
2017
A0306.混合型、退化型偏微分方程
赵会江
重点项目
教授
武汉大学
250万元
L^∞理论;粘性依赖于温度的Navier-Stokes方程;不带角截断的Boltzmann方程;整体适定性理论;测度值解
2018-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
查看更多信息请先登录或注册
查看更多信息请先登录或注册
查看更多信息请先登录或注册
重置
序号 标题 类型 作者
1 The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation 期刊论文 Jiang Ning;Xiong Linjie;Zhou Kai
2 高维Burgers方程外区域问题球对称解的渐近行为 期刊论文 杨彤;赵会江;赵青松
3 Global mild solutions of the Landau and non-cutoff Boltzmann equations 期刊论文 Duan Renjun;Liu Shuangqian;Sakamoto Shota;Strain Robert M.
4 Stability of equilibria to the model for non-isothermal electrokinetics 期刊论文 Jiang Ning;Luo Yi-Long;Zhang Xu
5 On kinetic and macroscopic models for the stripe formation in engineered bacterial populations 期刊论文 Jiang Ning;Liang Jiangyan;Luo Yi-Long;Tang Min;Zhang Yaming
6 Radially symmetric stationary wave for two dimensional Burgers equation 期刊论文 Zhao Huijiang;Zhao Qingsong
7 On well-posedness of Ericksen--Leslie's hyperbolic incompressible liquid crystal model 期刊论文 Jiang Ning;Luo Yi-Long
8 Viscous shock wave to an inflow problem for compressible viscous gas with large density oscillations 期刊论文 Bian Dongfen;Fan Lili;He Lin;Zhao Huijiang
9 Ion-acoustic shock in a collisional plasma 期刊论文 Duan Renjun;Liu Shuangqian;Zhang Zhu
10 The Boltzmann equation with incoming boundary condition: Global solutions and Navier--Stokes limit 期刊论文 Jiang Ning;Zhang Xu
11 Nonlinear stability of MHD contact discontinuities with surface tension 期刊论文 Trakhinin Yuri;Wang Tao
12 On well-posedness of Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow 期刊论文 Jiang Ning;Luo Yi-Long;Tang Shaojun
13 Spectrum analysis for the Vlasov–Poisson–Boltzmann system 期刊论文 Li Hai-Liang;Yang Tong;Zhong Mingying
14 Optimal convergence rate of the vanishing shear viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry 期刊论文 Wen Huanyao;Yang Tong;Zhao Xinhua;Zhu Changjiang
15 Coupled self-organized hydrodynamics and Navier–Stokes models: Local well-posedness and the limit from the self-organized kinetic-fluid models 期刊论文 Jiang Ning;Luo Yi-Long;Zhang Teng-Fei
16 Nonlinear stability and existence of compressible vortex sheets in 2D elastodynamics 期刊论文 Chen Robin Ming;Hu Jilong;Wang Dehua;Wang Tao;Yuan Difan
17 The zero inertia limit from hyperbolic to parabolic Ericksen-Leslie system of liquid crystal flow 期刊论文 Jiang Ning;Luo Yi-Long
18 Small data global regularity and scattering for 3D Ericksen–Leslie compressible hyperbolic liquid crystal model 期刊论文 Huang Jiaxi;Jiang Ning;Luo Yi-Long;Zhao Lifeng
19 Convergence from two-fluid incompressible Navier-Stokes-Maxwell system with Ohm's law to solenoidal Ohm's law: Classical solutions 期刊论文 Jiang Ning;Luo Yi-Long;Tang Shaojun
20 Global spherically symmetric flows for a viscous radiative and reactive gas in an exterior domain 期刊论文 Liao Yongkai;Wang Tao;Zhao Huijiang
21 Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics 期刊论文 Trakhinin Yuri;Wang Tao
22 Asymptotics of the 1D compressible Navier-Stokes equations with density-dependent viscosity 期刊论文 Chen Zhengzheng;Zhao Huijiang
23 Well-posedness for moving interfaces with surface tension in ideal compressible MHD 期刊论文 Trakhinin Yuri;Wang Tao
24 Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains 期刊论文 Duan Renjun;Liu Shuangqian
25 Nonlinear hyperbolic waves in relativistic gases of massive particles with Synge energy 期刊论文 Ruggeri Tommaso;Xiao Qinghua;Zhao Huijiang
26 Local well-posedness and sensitivity analysis for the self-organized kinetic model 期刊论文 Jiang Ning;Zhang Zeng
27 On dissipative solutions to a simplified hyperbolic Ericksen–Leslie system of liquid crystals 期刊论文 Cheng Feng;Jiang Ning;Luo Yi-Long
28 The Navier–Stokes–Vlasov–Fokker–Planck system in bounded domains 期刊论文 Li Hailiang;Liu Shuangqian;Yang Tong
29 Large Ericksen number limit for the 2D general Ericksen–Leslie system 期刊论文 Cheng Feng;Jiang Ning
30 Global Ccassical solutions for the Vlasov--Nordström--Fokker--Planck system 期刊论文 Duan Renjun;Liu Shuangqian;Yang Tong
31 Zero viscosity and thermal diffusivity limit of the linearized compressible Navier–Stokes–Fourier equations in the half plane 期刊论文 Ding Yutao;Jiang Ning
32 Global existence and large-time behavior of solutions to the Cauchy problem of one-dimensional viscous radiative and reactive gas 期刊论文 Liao Yongkai;Zhao Huijiang
33 Green's function and pointwise space-time behaviors of the Vlasov-Poisson-Boltzmann system 期刊论文 Li Hai-Liang;Yang Tong;Zhong Mingying
34 Contact discontinuity for a viscous radiative and reactive gas with large initial perturbation 期刊论文 Gong Guiqiong;Xu Zhendong;Zhao Huijiang
35 Asymptotic behavior of solutions of initial-boundary value problems for 1D viscous and heat-conducting ionized gas 期刊论文 Liao Yongkai;Zhao Huijiang
36 Stability of multidimensional thermoelastic contact discontinuities 期刊论文 Chen Gui-Qiang G.;Secchi Paolo;Wang Tao
37 Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions 期刊论文 Jiang Ning;Xu Chao-Jiang;Zhao Huijiang
38 Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension 期刊论文 Trakhinin Yuri;Wang Tao
39 Global classical solutions to the two-fluid incompressible Navier-Stokes-Maxwell system with Ohm's law 期刊论文 Jiang Ning;Luo Yi-Long
40 Nonlinear stability of rarefaction waves for a hyperbolic system with Cattaneo's laws 期刊论文 Bai Yinsong;He Lin;Zhao Huijiang
41 The Vlasov-Maxwell-Boltzmann system near Maxwellians with strong background magnetic field 期刊论文 Lei Yuanjie;Zhao Huijiang
42 A scaling limit from the wave map to the heat flow into $mathbb{S}^2$ 期刊论文 Jiang Ning;Luo Yi-Long;Tang Shaojun;Zarnescu Arghir
43 The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity 期刊论文 Fan Yingzhe;Lei Yuanjie;Liu Shuangqian;Zhao Huijiang
44 Small data global regularity for the 3-D Ericksen-Leslie hyperbolic liquid crystal model without kinematic transport 期刊论文 Jiaxi Huang;Ning Jiang;Yi-long Luo;Lifeng Zhao
45 Stability of rarefaction waves of the compressible Navier--Stokes--Poisson system with large initial perturbation 期刊论文 Zhang Lan;Zhao Huijiang;Zhao Qingsong
46 Non-cutoff Boltzmann equation with polynomial decay perturbations 期刊论文 Alonso Ricardo;Morimoto Yoshinori;Sun Weiran;Yang Tong
47 Entropy inequality and energy dissipation of inertial Qian–Sheng model for nematic liquid crystals 期刊论文 Jiang Ning;Luo Yi-Long;Ma Yangjun;Tang Shaojun
48 One-dimensional viscous radiative gas with temperature dependent viscosity 期刊论文 He Lin;Liao Yongkai;Wang Tao;Zhao Huijiang
49 Two-dimensional vortex sheets for the nonisentropic Euler equations: Nonlinear stability 期刊论文 Morando Alessandro;Trebeschi Paola;Wang Tao
50 The Boltzmann equation for uniform shear flow 期刊论文 Duan Renjun;Liu Shuangqian
51 The relativistic Vlasov–Maxwell–Fokker–Planck system in the whole space 期刊论文 Liu Shuangqian;Ma Xuan
52 The Boltzmann equation for plane Couette flow 期刊论文 Duan Renjun;Liu Shuangqian;Yang Tong
53 Vanishing shear viscosity limit and boundary layer study for the planar MHD system 期刊论文 Qin Xulong;Yang Tong;Yao Zheng-an;Zhou Wenshu
54 黏性依赖于密度的一维可压缩黏性辐射反应气体方程组的Cauchy问题 期刊论文 廖勇凯;徐振东;赵会江
55 第六届中国科协优秀科技论文遴选计划优秀论文 奖励 何躏;廖勇凯;王涛;赵会江
56 On a reversible Gray-Scott type system from energetic variational approach and its irreversible limit 期刊论文 Liang Jiangyan;Jiang Ning;Liu Chun;Wang Yiwei;Zhang Teng-Fei
57 One-dimensional viscous and heat-conducting ionized gas with density-dependent viscosity 期刊论文 Liao Yongkai;Zhao Huijiang;Zhou Jiawei
58 From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions 期刊论文 Jiang Ning;Luo Yi-Long
59 Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime 期刊论文 Chen Gui-Qiang G.;Secchi Paolo;Wang Tao
查看更多信息请先登录或注册