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Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 16
作者:  Liao, Hong-Lin;  Song, Xuehua;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载:139/0  |  提交时间:2021/04/26
molecular beam epitaxial growth  variable-step BDF2 scheme  discrete orthogonal convolution kernels  energy stability  convergence analysis  
Analysis of a time-dependent fluid-solid interaction problem above a local rough surface 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 5, 页码: 887-906
作者:  Wei, Changkun;  Yang, Jiaqing
收藏  |  浏览/下载:127/0  |  提交时间:2020/09/23
well-posedness  stability  a priori estimate  fluid-solid interaction  Laplace transform  local rough surface  
Supersonic flow onto solid wedges, multidimensional shock waves and free boundary problems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2017, 卷号: 60, 期号: 8, 页码: 1353-1370
作者:  Chen, Gui-Qiang
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
shock wave  free boundary  wedge problem  transonic  mixed type  Euler equations  static stability  dynamic stability  
Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks 期刊论文
SCIENCE CHINA-MATHEMATICS, 2015, 卷号: 58, 期号: 4, 页码: 653-672
作者:  Huang FeiMin;  Wang Yi;  Wang Yong;  Yang Tong
收藏  |  浏览/下载:141/0  |  提交时间:2021/01/14
NONLINEAR HYPERBOLIC SYSTEMS  ZERO-DISSIPATION LIMIT  CONSERVATION-LAWS  RAREFACTION WAVES  EULER EQUATIONS  BOLTZMANN-EQUATION  CONVERGENCE RATE  GAS-DYNAMICS  APPROXIMATIONS  STABILITY  isentropic Navier-Stokes equations  isentropic Euler equations  interacting shock  vanishing viscosity  entropy solution  
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 2, 页码: 385-434
作者:  Li Dong;  Zhang XiaoYi
收藏  |  浏览/下载:71/0  |  提交时间:2021/01/14
NONLINEAR SCHRODINGER-EQUATION  DISPERSIVE EVOLUTION-EQUATIONS  BLOW-UP SOLUTIONS  CRITICAL POWER  CAUCHY-PROBLEM  GROUND-STATES  SINGULARITIES  UNIQUENESS  STABILITY  Schrodinger equation  mass critical  rigidity  
Stability of planar diffusion wave for nonlinear evolution equation 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 2, 页码: 337-352
作者:  He Cheng;  Huang FeiMin;  Yong Yan
收藏  |  浏览/下载:129/0  |  提交时间:2021/01/14
HYPERBOLIC CONSERVATION-LAWS  THROUGH POROUS-MEDIA  P-SYSTEM  ASYMPTOTIC-BEHAVIOR  CONVERGENCE  FLOW  MULTIDIMENSIONS  RATES  stability  planar diffusion wave  nonlinear evolution equation  
Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 12, 页码: 2693-2712
作者:  Gao LiPing;  Zhang Bo
收藏  |  浏览/下载:140/0  |  提交时间:2018/07/30
Maxwell equations  finite-difference time-domain method  stability  superconvergence  perfectly electric conducting boundary conditions  energy identities  
Stability of solutions for nonlinear Schrodinger equations in critical spaces 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 5, 页码: 973-986
作者:  Li Dong;  Zhang XiaoYi
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Schrodinger equation  stability  critical space  
The double Ringel-Hall algebra on a hereditary abelian finitary length category 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 2, 页码: 381-397
作者:  Dou RuJing;  Liu QunHua;  Xiao Jie
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
Ringel-Hall algebra  generalized Kac-Moody Lie algebra  coherent sheaf  semi-stability