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ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载：94/0  |  提交时间：2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR LICHNEROWICZ EQUATIONS 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2022, 卷号: 317, 期号: 2, 页码: 363-386
作者:  Huang, Pingliang;  Wang, Youde
收藏  |  浏览/下载：72/0  |  提交时间：2023/02/07
gradient estimate  Ricci curvature  Liouville theorem  Harnack inequality  nonlinear elliptic equations  
On desingularization of steady vortex for the lake equations 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2022, 卷号: 87, 期号: 1, 页码: 50-79
作者:  Cao, Daomin;  Zhan, Weicheng;  Zou, Changjun
收藏  |  浏览/下载：172/0  |  提交时间：2022/04/02
steady vortex solutions  elliptic equations  variational method  desingularization  maximizer  
Qualitative properties of singular solutions to fractional elliptic equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 页码: 36
作者:  Huang, Shuibo;  Zhang, Zhitao;  Liu, Zhisu
收藏  |  浏览/下载：166/0  |  提交时间：2022/06/21
Fractional elliptic equations  Moving spheres method  Blow-up analysis  Local behaviour  Singular solutions  
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：194/0  |  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  
Iterative two-grid methods for semilinear elliptic equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 3, 页码: 522-530
作者:  Zhang, Weifeng;  Fan, Ronghong;  Zhong, Liuqiang
收藏  |  浏览/下载：174/0  |  提交时间：2020/06/30
Iterative methods  Two-grid method  Convergence  Semilinear elliptic equations  
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：210/0  |  提交时间：2020/05/24
Euler equations  steady vortex flow  semilinear elliptic equation  stream function  
HETEROGENEOUS MULTISCALE METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY ELLIPTIC EQUATIONS WITH HIGHLY OSCILLATORY COEFFICIENTS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 644-660
作者:  Ge, Liang;  Yan, Ningning;  Wang, Lianhai;  Liu, Wenbin;  Yang, Danping
收藏  |  浏览/下载：215/0  |  提交时间：2019/03/05
Constrained convex optimal control  Heterogeneous multiscale finite element  A priori error estimate  Elliptic equations with highly oscillatory coefficients  
Stability and asymptotic behavior of transonic flows past wedges for the full Euler equations 期刊论文
INTERFACES AND FREE BOUNDARIES, 2017, 卷号: 19, 期号: 4, 页码: 591-626
作者:  Chen, Gui-Qiang G.;  Chen, Jun;  Feldman, Mikhail
收藏  |  浏览/下载：158/0  |  提交时间：2018/07/30
Shock wave  free boundary  wedge problem  steady  supersonic  subsonic  transonic  mixed type  composite type  hyperbolic-elliptic  full Euler equations  physical admissible  existence  stability  asymptotic behavior  decay rate  
A refined convergence analysis of multigrid algorithms for elliptic equations 期刊论文
ANALYSIS AND APPLICATIONS, 2015, 卷号: 13, 期号: 3, 页码: 255-290
作者:  Chang, Qianshun;  Jia, Rong-Qing
收藏  |  浏览/下载：135/0  |  提交时间：2018/07/30
Multigrid algorithms  elliptic equations  multilevel approximation  approximation conditions  smoothing conditions  finite element approximation