高维激波以及非线性守恒律方程的低正则解

11731007
2017
A0306.混合型、退化型偏微分方程
尹会成
重点项目
教授
南京师范大学
250万元
正则性;高维激波;流体动力学方程;自由界面问题;适定性
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
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序号 标题 类型 作者
1 Minimal regularity solutions of semilinear generalized Tricomi equations 期刊论文 Ruan Zhuoping;Ingo Witt;Yin Huicheng
2 A global multidimensional shock wave for 2-D and 3-D unsteady potential flow equations 期刊论文 Li Jun;Ingo Witt;Yin Huicheng
3 Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability 期刊论文 Liao Jiajiang;S. Franck;Zhang Ping
4 Global existence and the decay of solutions to the Prandtl system with small analytic data 期刊论文 M.Paicu;Zhang Ping
5 Delayed singularity formation for the three dimensional compressible Euler equations with non-zero vorticity 期刊论文 Hou Fei;Yin Huicheng
6 On the steady non-Newtonian fluids in the domains with noncompact boundaries 期刊论文 Yang Jiaqi;Yin Huicheng
7 Global smooth axisymmetric solutions to 2D compressible Euler equations of Chaplygin gases with non-zero vorticity 期刊论文 Hou Fei;Yin Huicheng
8 Global smooth solutions of 2-D null-form wave equations with non-compactly supported initial data 期刊论文 Hou Fei;Yin Huicheng
9 On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component 期刊论文 Liu Yanlin;Zhang Ping
10 Global smooth solutions of the 4-D quasilinear Klein-Gordon equations on the product space $mathbb{R}^{3} timesmathbb{T}$ 期刊论文 Tao Fei;Yin Huicheng
11 Large time behavior of solutions to 3-D MHD system with initial data near equilibrium 期刊论文 Den Wen;Zhang Ping
12 The global existence and large time behavior of smooth compressible fluid in an infinitely expanding ball, III: 3-D Boltzmann equations 期刊论文 Yin Huicheng;Zhao Wenbin
13 Global existence or blowup of smooth solutions to 3-D compressible Euler equations with time-dependent damping 期刊论文 Hou Fei;Yin Huicheng
14 Formation and construction of a shock wave for the first order multi-dimensional hyperbolic conservation law with smooth initial data 期刊论文 Yin Huicheng;Zhu Lu
15 On the instability of the possible blow-up solutions to 2D Boussinesq system 期刊论文 Shao Ruijie;Zhang Ping
16 On the global solution problem of semilinear generalized Tricomi equations, II, 期刊论文 He Daoyin;Ingo Witt;Yin Huicheng
17 Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity 期刊论文 Liang Siyu;Zhang Ping;Zhu Rongchan
18 3-D global supersonic Euler flows in the infinite long divergent nozzles 期刊论文 Xu Gang;Yin Huicheng
19 The shock formation and optimal regularities of the resulting shock curves for 1-D scalar conservation laws 期刊论文 Yin Huicheng;Zhu Lu
20 Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions 期刊论文 Li Jun;Yin Huicheng
21 On global smooth solutions of 3-D compressible Euler equations with vanishing density at infinite time 期刊论文 Xu Gang;Yin Huicheng
22 Global smooth compressible fluids in infinitely expanding balls, II: 3D Navier-Stokes equations 期刊论文 Yin Huicheng;Zhang Lin
23 Striated regularity of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscosit 期刊论文 M.Paicu;Zhang Ping
24 On global axisymmetric solutions to 2D compressible full Euler equations of Chaplygin gases 期刊论文 Hou Fei;Yin Huicheng
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