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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
作者:  Liu, Yechi
收藏  |  浏览/下载：82/0  |  提交时间：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
作者:  Yuan, Qian;  Yuan, Yuan
收藏  |  浏览/下载：68/0  |  提交时间：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
作者:  Hu, Lijun;  Yuan, Li
收藏  |  浏览/下载：121/0  |  提交时间：2021/10/26
Euler equations  Centred schemes  FORCE scheme  Contact discontinuity  Carbuncle phenomenon  Boundary variation diminishing  
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
作者:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
收藏  |  浏览/下载：138/0  |  提交时间：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  
STABILITY OF CONICAL SHOCKS IN THE THREE-DIMENSIONAL STEADY SUPERSONIC ISOTHERMAL FLOWS PAST LIPSCHITZ PERTURBED CONES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 2811-2862
作者:  Chen, Gui-Qiang G.;  Kuang, Jie;  Zhang, Yongqian
收藏  |  浏览/下载：125/0  |  提交时间：2021/10/26
conical shocks  structural stability  steady flow  supersonic isothermal flow  perturbed cones  Lipschitz cones  entropy solutions  BV  modified Glimm scheme  TV  Glimm-type functional  self-similar solutions  interaction estimates  reflection coefficients  free boundary  asymptotic behavior  
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
作者:  Xin, Zhouping;  Yuan, Qian;  Yuan, Yuan
收藏  |  浏览/下载：125/0  |  提交时间：2022/04/02
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
作者:  Tian, Xia;  Cui, Junzhi;  Yang, Mei;  Ma, Kaipeng;  Xiang, Meizhen
收藏  |  浏览/下载：125/0  |  提交时间：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
作者:  Yuan, Qian;  Yuan, Yuan
收藏  |  浏览/下载：147/0  |  提交时间：2020/05/24
Conservation laws  Shock waves  Rarefaction waves  Periodic perturbations  
L-2-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 5, 页码: 2737-2791
作者:  Kang, Moon-Jin;  Vasseur, Alexis F.;  Wang, Yi
收藏  |  浏览/下载：215/0  |  提交时间：2020/01/10
Stability of Nonlinear Wave Patterns to the Bipolar Vlasov-Poisson-Boltzmann System 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 卷号: 228, 期号: 1, 页码: 39-127
作者:  Li, Hailiang;  Wang, Yi;  Yang, Tong;  Zhong, Mingying
收藏  |  浏览/下载：177/0  |  提交时间：2018/07/30