轴对称Navier-Stokes方程组的整体适定性研究

11761009
2017
A0306.混合型、退化型偏微分方程
张祖锦
地区科学基金项目
教授
赣南师范大学
30万元
正则性;轴对称解;Navier-Stokes方程组;整体适定性
2018-01-01到2021-12-31
  • 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 Some new multiplicative Sobolev inequalities with applications to the Navier–Stokes equations 期刊论文 Zujin Zhang;Chupeng Wu
2 Regularity Criteria for the Axisymmetric Navier–Stokes System with Negative Weights 期刊论文 Zujin Zhang
3 Remarks on the energy equality for the non-Newtonian fluids 期刊论文 Zujin Zhang
4 Weighted a priori estimates for the swirl component of the vorticity of the axisymmetric Navier–Stokes system 期刊论文 Zujin Zhang;Sinan Wang
5 On regularity criteria for the Navier–Stokes equations based on one directional derivative of the velocity or one diagonal entry of the velocity gradient 期刊论文 Zujin Zhang;Yali Zhang
6 New a priori estimates for the axisymmetric Navier-Stokes system 期刊论文 Zujin Zhang
7 Global regularity criterion for the Navier‐Stokes equations based on the direction of vorticity 期刊论文 Zujin Zhang;Weihua Wang;Yong Zhou
8 3D Hall-MHD system with vorticity in Besov spaces 期刊论文 Zujin Zhang
9 On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system 期刊论文 Zujin Zhang;Chupeng Wu;Yong Zhou
10 Global regularity for a special family of axisymmetric solutions to the three-dimensional magnetic Bénard problem 期刊论文 Zujin Zhang;Tong Tang
11 An extension and simpler proof of Berselli–Córdoba’s geometric regularity condition for the Navier–Stokes system 期刊论文 Zujin Zhang;Weihua Wang;Xian Yang
12 An Improved Regularity Criteria for the MHD System Based on Two Components of the Solution 期刊论文 Zujin Zhang;Yali Zhang
13 Regularity criteria for the three dimensional Ericksen–Leslie system in homogeneous Besov spaces 期刊论文 Zujin Zhang
14 Components reduction regularity results for the Navier–Stokes equations in general dimensions 期刊论文 Zujin Zhang;Weihua Wang;Zheng-an Yao
15 Serrin type regularity criterion for the shear thinning fluids via the velocity field 期刊论文 Zujin Zhang;Sinan Wang
16 Remarks on the regularity criteria for the axisymmetric MHD system 期刊论文 Zujin Zhang;Yali Zhang
17 Several new regularity criteria for the axisymmetric Navier–Stokes equations with swirl 期刊论文 Zujin Zhang
18 A pointwise regularity criterion for axisymmetric Navier-Stokes system 期刊论文 Zujin Zhang
19 A remark on the global regularity criterion for the 3D Navier–Stokes equations based on end-point Prodi–Serrin conditions 期刊论文 Zujin Zhang;Jinlu Li;Zheng-an Yao
20 Remarks on global regularity for the 3D MHD system with damping 期刊论文 Zujin Zhang;Chupeng Wu;Zheng-an Yao
21 On the blow-up criterion for the quasi-geostrophic equations in homogeneous Besov spaces 期刊论文 Zujin Zhang
22 Some remarks on the Navier-Stokes equations with regularity in one direction 期刊论文 Zujin Zhang;Weijun Yuan;Yong Zhou
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