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GLOBAL SOLUTIONS OF A TWO-DIMENSIONAL RIEMANN PROBLEM FOR THE PRESSURE GRADIENT SYSTEM 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2475-2503
Authors:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
Favorite  |  View/Download:52/0  |  Submit date:2021/10/26
Two-dimensional Riemann problems  global solutions  pressure gradient system  Euler equations  hyperbolic conservation laws  mixed type  degenerate elliptic equations  shocks  transonic shock  vortex sheets  free boundary problem  
AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1299-1324
Authors:  Lu, Jianfang;  Liu, Yong;  Shu, Chi-Wang
Favorite  |  View/Download:58/0  |  Submit date:2021/10/26
hyperbolic conservation laws  discontinuous Galerkin  nonoscillatory  optimal error estimates  superconvergence  
HIGH ORDER EXPLICIT LOCAL TIME STEPPING METHODS FOR HYPERBOLIC CONSERVATION LAWS 期刊论文
MATHEMATICS OF COMPUTATION, 2020, 卷号: 89, 期号: 324, 页码: 1807-1842
Authors:  Thi-Thao-Phuong Hoang;  Ju, Lili;  Leng, Wei;  Wang, Zhu
Favorite  |  View/Download:79/0  |  Submit date:2020/05/24
STABILITY OF PLANAR RAREFACTION WAVE TO TWO-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2018, 卷号: 50, 期号: 5, 页码: 4937-4963
Authors:  Li, Lin-An;  Wang, Yi
Favorite  |  View/Download:110/0  |  Submit date:2019/01/11
planar rarefaction wave  stability  compressible Navier-Stokes equation  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
Authors:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
Favorite  |  View/Download:62/0  |  Submit date:2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
Weak Continuity and Compactness for Nonlinear Partial Differential Equations 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 卷号: 36, 期号: 5, 页码: 715-736
Authors:  Chen, Gui-Qiang G.
Favorite  |  View/Download:57/0  |  Submit date:2018/07/30
Weak continuity  Compensated compactness  Nonlinear partial differential equations  Euler equations  Gauss-Codazzi-Ricci system  
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
Authors:  Huang FeiMin;  Wang Yi;  Wang Yong;  Yang Tong
Favorite  |  View/Download:69/0  |  Submit date: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  
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
Authors:  He Cheng;  Huang FeiMin;  Yong Yan
Favorite  |  View/Download:56/0  |  Submit date:2021/01/14
HYPERBOLIC CONSERVATION-LAWS  THROUGH POROUS-MEDIA  P-SYSTEM  ASYMPTOTIC-BEHAVIOR  CONVERGENCE  FLOW  MULTIDIMENSIONS  RATES  stability  planar diffusion wave  nonlinear evolution equation  
A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2011, 卷号: 46, 期号: 3, 页码: 359-378
Authors:  Teng, Fei;  Yuan, Li;  Tang, Tao
Favorite  |  View/Download:55/0  |  Submit date:2018/07/30
Conservation law  Finite volume WENO method  Speed-up strategy  Multi-dimension  
TWO-DIMENSIONAL RIEMANN PROBLEMS: FROM SCALAR CONSERVATION LAWS TO COMPRESSIBLE EULER EQUATIONS 期刊论文
ACTA MATHEMATICA SCIENTIA, 2009, 卷号: 29, 期号: 4, 页码: 777-802
Authors:  Li Jiequan;  Sheng Wancheng;  Zhang Tong;  Zheng Yuxi
Favorite  |  View/Download:62/0  |  Submit date:2018/07/30
two-dimensional Riemann problem  compressible Euler equation  reflection of shocks  interaction of rarefaction waves  delta-shocks