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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
作者:  Hu, Lijun;  Yuan, Li;  Zhao, Kunlei
收藏  |  浏览/下载：132/0  |  提交时间：2021/04/26
Euler equations  HLL-type Riemann solver  Genuinely two-dimensional  Zha-Bilgen splitting  Carbuncle phenomenon  Shock instability  
Instability of the abstract Rayleigh-Taylor problem and applications 期刊论文
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2020, 卷号: 30, 期号: 12, 页码: 2299-2388
作者:  Jiang, Fei;  Jiang, Song;  Zhan, Weicheng
收藏  |  浏览/下载：152/0  |  提交时间：2021/04/26
Rayleigh-Taylor instability  stratified viscous fluids  incompressible fluids  magnetohydrodynamic fluids  viscoelastic fluids  
Network flows that solve least squares for linear equations 期刊论文
AUTOMATICA, 2020, 卷号: 120, 页码: 12
作者:  Liu, Yang;  Lou, Youcheng;  Anderson, Brian D. O.;  Shi, Guodong
收藏  |  浏览/下载：218/0  |  提交时间：2020/11/18
Distributed algorithms  Linear equation  Least-squares solutions  
Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 卷号: 487, 期号: 2, 页码: 15
作者:  Wang, Guodong;  Zuo, Bijun
收藏  |  浏览/下载：137/0  |  提交时间：2020/05/24
Euler equations  Vortex patch  Variational problem  Limiting behavior  
A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 卷号: 39, 期号: 3, 页码: 20
作者:  Du, Yulong;  Wang, Yahui;  Yuan, Li
收藏  |  浏览/下载：169/0  |  提交时间：2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
W-Entropy, Super Perelman Ricci Flows, and (K, m)-Ricci Solitons 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 卷号: 30, 期号: 3, 页码: 3149-3180
作者:  Li, Songzi;  Li, Xiang-Dong
收藏  |  浏览/下载：155/0  |  提交时间：2020/09/23
W-entropy  Witten Laplacian  CD(K, m)-condition  (K, m)-Ricci solitons  (K, m)-super Perelman Ricci flows  (K, m)-Perelman Ricci flow  Gaussian solitons  
A NOTE ON STEADY VORTEX FLOWS IN TWO DIMENSIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 卷号: 148, 期号: 3, 页码: 1153-1159
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载：183/0  |  提交时间：2020/05/24
Euler equations  steady vortex flow  semilinear elliptic equation  stream function  
Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2020, 卷号: 51, 页码: 19
作者:  Cao, Daomin;  Wan, Jie;  Wang, Guodong
收藏  |  浏览/下载：263/0  |  提交时间：2020/01/10
Fluid dynamics  Incompressible Euler flows  Vortex patch  
Monotonicity and rigidity of the W-entropy on RCD(0, N) spaces 期刊论文
MANUSCRIPTA MATHEMATICA, 2020, 页码: 31
作者:  Kuwada, Kazumasa;  Li, Xiang-Dong
收藏  |  浏览/下载：172/0  |  提交时间：2020/05/24
DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 6, 页码: 5363-5388
作者:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载：152/0  |  提交时间：2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability