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Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 卷号: 222, 页码: 14
Authors:  Liu, Yechi
Favorite  |  View/Download:27/0  |  Submit date:2023/02/07
Viscous conservation law  Asymptotic behavior  Time decay rate  Viscous shock wave  Discontinuous initial data  
PERIODIC PERTURBATIONS OF A COMPOSITE WAVE OF TWO VISCOUS SHOCKS FOR 1-D FULL COMPRESSIBLE NAVIER-STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 卷号: 54, 期号: 3, 页码: 2876-2905
Authors:  Yuan, Qian;  Yuan, Yuan
Favorite  |  View/Download:24/0  |  Submit date:2023/02/07
   compressible Navier--Stokes equations  viscous shock waves  composite waves  periodic perturbations  
A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 227, 页码: 16
Authors:  Hu, Lijun;  Yuan, Li
Favorite  |  View/Download:89/0  |  Submit date:2021/10/26
Euler equations  Centred schemes  FORCE scheme  Contact discontinuity  Carbuncle phenomenon  Boundary variation diminishing  
Asymptotic Stability of Shock Profiles and Rarefaction Waves under Periodic Perturbations for 1-D Convex Scalar Viscous Conservation Laws 期刊论文
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021, 卷号: 70, 期号: 6, 页码: 2295-2349
Authors:  Xin, Zhouping;  Yuan, Qian;  Yuan, Yuan
Favorite  |  View/Download:75/0  |  Submit date:2022/04/02
Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 213, 页码: 15
Authors:  Hu, Lijun;  Yuan, Li;  Zhao, Kunlei
Favorite  |  View/Download:95/0  |  Submit date:2021/04/26
Euler equations  HLL-type Riemann solver  Genuinely two-dimensional  Zha-Bilgen splitting  Carbuncle phenomenon  Shock instability  
Shock-induced plasticity and damage in single-crystalline Cu at elevated temperatures by molecular dynamics simulations 期刊论文
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2020, 卷号: 158, 页码: 17
Authors:  Tian, Xia;  Cui, Junzhi;  Ma, Kaipeng;  Xiang, Meizhen
Favorite  |  View/Download:125/0  |  Submit date:2020/09/23
Shock response  Temperature effects  Dislocation density  Spalling  Melting  Molecular dynamics simulations  
Nonlinear stability of large amplitude viscous shock wave for general viscous gas 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 2, 页码: 1226-1242
Authors:  He, Lin;  Huang, Feimin
Favorite  |  View/Download:127/0  |  Submit date:2020/06/30
Molecular dynamics simulations on shock response and spalling behaviors of semi-coherent {111} Cu-Al multilayers 期刊论文
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2020, 卷号: 172, 页码: 11
Authors:  Tian, Xia;  Cui, Junzhi;  Yang, Mei;  Ma, Kaipeng;  Xiang, Meizhen
Favorite  |  View/Download:96/0  |  Submit date:2020/06/30
Metallic multilayer  Shock response  Spalling behavior  Molecular dynamics simulation  
On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 268, 期号: 9, 页码: 5140-5155
Authors:  Yuan, Qian;  Yuan, Yuan
Favorite  |  View/Download:110/0  |  Submit date:2020/05/24
Conservation laws  Shock waves  Rarefaction waves  Periodic perturbations  
一种激波稳定的对流-压力通量分裂格式 期刊论文
计算力学学报, 2020, 卷号: 37.0, 期号: 004, 页码: 496-503
Authors:  胡立军;  吴世枫;  赵昆磊
Favorite  |  View/Download:85/0  |  Submit date:2021/01/14
欧拉方程  Zha-Bilgen分裂  TV格式  剪切粘性  对流-压力通量分裂格式  鲁棒性