Fokker-Planck算子和Witten Laplace算子的谱分析以及Boltzmann方程弱解的正则性研究

11871054
2018
A0306.混合型、退化型偏微分方程
李维喜
面上项目
教授
武汉大学
50万元
正则性;微局部分析;Laplace算子;Witten;紧性判别法则;动理学方程;最佳;Gevrey
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
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序号 标题 类型 作者
1 Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff 期刊论文 Radjesvarane Alexandre;Frédéric Hérau;Wei-Xi Li
2 Well-posedness in Gevrey function space for the Prandtl equations with non-degenerate critical points 期刊论文 Wei-Xi Li;Tong Yang
3 The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off 期刊论文 Hua Chen;Xin Hu;Wei-Xi Li;Jinpeng Zhan
4 Well-posedness in Sobolev spaces of the two-dimensional MHD Boundary layer equations without viscosity 期刊论文 Wei-Xi Li;Rui Xu
5 Gevrey well-posedness of the hyperbolic Prandtl equations 期刊论文 Wei-Xi Li;Rui Xu
6 Subellipticity of some complex vector fields related to Witten Laplacian 期刊论文 Wei-Xi Li;Chao-Jiang Xu
7 Global Well-posedness of a Prandtl Model from MHD in Gevrey Function Space 期刊论文 Wei-Xi Li;Rui Xu;Tong Yang
8 Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off 期刊论文 Wei-Xi Li;Lvqiao Liu
9 Well-Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption 期刊论文 Wei-Xi Li;Nader Masmoudi;Tong Yang
10 Weighted andMaximally Hypoelliptic Estimates for the Fokker-Planck Operator with Electromagnetic Fields 期刊论文 Li Weixi;Zeng Juan
11 Boundary layer analysis for the fast horizontal rotating fluids. 期刊论文 Wei-Xi Li;Van-Sang Ngo;Chao-Jiang Xu
12 3D hyperbolic Navier-Stokes equations in a thin strip: global well-posedness and hydrostatic limit in Gevrey space 期刊论文 Wei-Xi Li;Tong Yang
13 Well-posedness of the MHD boundary layer system in Gevrey function space without Structural Assumption 期刊论文 Wei-Xi Li;Tong Yang
14 Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation 期刊论文 Renjun Duan;Wei-Xi Li;Lvqiao Liu
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