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数学与系统科学研究院 [6]
武汉物理与数学研究所 [2]
成都山地灾害与环境研... [1]
长春光学精密机械与物... [1]
中国科学院大学 [1]
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期刊论文 [10]
会议论文 [1]
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On Weighted Estimates for the Stokes Flows, with Application to the Navier-Stokes Equations
期刊论文
OAI收割
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2018, 卷号: 20, 期号: 3, 页码: 1155-1172
作者:
Han, Pigong
  |  
收藏
  |  
浏览/下载:28/0
  |  
提交时间:2018/09/08
Stokes flow
Solution formula
Weighted estimate
Strong solution
Improved formulae of velocity distributions along the vertical and transverse directions in natural rivers with the sidewall effect
期刊论文
OAI收割
ENVIRONMENTAL FLUID MECHANICS, 2018, 卷号: 18, 期号: 6, 页码: 1491-1508
作者:
Jinyou Lu
;
Yinjun Zhou
;
Yonghui Zhu
;
Junqiang Xia
;
Li Wei
  |  
收藏
  |  
浏览/下载:35/0
  |  
提交时间:2018/12/17
Definite solution problem
Method of variable separation
Velocity distribution formula
Narrow-deep rivers
Sidewall effect
Large time behavior for the nonstationary Navier-Stokes flows in the half-space
期刊论文
OAI收割
ADVANCES IN MATHEMATICS, 2016, 卷号: 288, 页码: 1-58
作者:
Han, Pigong
  |  
收藏
  |  
浏览/下载:24/0
  |  
提交时间:2018/07/30
Navier-Stokes flow
Stokes system
Solution formula
Strong solution
Half-space
Weighted Decay Results for the Nonstationary Stokes Flow and Navier-Stokes Equations in Half Spaces
期刊论文
OAI收割
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 卷号: 17, 期号: 4, 页码: 599-626
作者:
Han, Pigong
  |  
收藏
  |  
浏览/下载:23/0
  |  
提交时间:2018/07/30
Navier-Stokes equations
Stokes solution formula
large-time behavior
strong solution
FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE
期刊论文
OAI收割
ACTA MATHEMATICA SCIENTIA, 2015, 卷号: 35, 期号: 2, 页码: 508-526
作者:
Gao, Gaowei
;
Hu, Kai
;
Yang, Xiaozhou
收藏
  |  
浏览/下载:32/0
  |  
提交时间:2015/06/23
Solution formula
non-homogeneous m-D conservation laws
global smooth solution
global implicit function
One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction
期刊论文
OAI收割
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 卷号: 8, 期号: 5, 页码: 1085-1097
作者:
Zhang, Yingnan
;
He, Yi
;
Tam, Hon-Wah
收藏
  |  
浏览/下载:24/0
  |  
提交时间:2015/06/23
Integrability
soliton solution
Backlund transformation (BT)
nonlinear superposition formula
One variant of a (2+1)-dimensional Volterra system and its (1+1)-dimensional reduction
期刊论文
OAI收割
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 卷号: 8, 期号: 5, 页码: 1085-1097
作者:
Zhang Yingnan
;
He Yi
;
Tam HonWah
  |  
收藏
  |  
浏览/下载:18/0
  |  
提交时间:2021/01/14
SOLITON-SOLUTIONS
EQUATIONS
LATTICE
Integrability
soliton solution
Backlund transformation (BT)
nonlinear superposition formula
Asymptotic behavior for the Stokes flow and Navier-Stokes equations in half spaces
期刊论文
OAI收割
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 249, 期号: 8, 页码: 1817-1852
作者:
Han, Pigong
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收藏
  |  
浏览/下载:17/0
  |  
提交时间:2018/07/30
Navier-Stokes equations
Weak and strong solutions
Asymptotic behavior
Solution formula
Analysis of a diffractive microlens using the finite-difference time-domain method (EI CONFERENCE)
会议论文
OAI收割
作者:
Liu Y.
;
Liu H.
;
Liu H.
;
Liu H.
;
Liu Y.
收藏
  |  
浏览/下载:27/0
  |  
提交时间:2013/03/25
The finite-difference time-domain (FDTD) method is used as rigorous electromagnetic analysis model to calculate the field for a diffractive microlens (DML). The FDTD is used for the entire solution rather than using a near- to far-field propagation method to obtain the far-field energy distribution
thus
all the results are vector based. We derived a formula to calculate the magnitude of electric field
which is time dependent and can be used to graphically show the light wave propagation and focusing process through a DML. Both the comparison and the integral methods are presented to obtain wave amplitude in full solution space
and the distribution of light energy behind a DML is illustrated based on the wave amplitude. The formula of diffractive efficiency of the DML is derived from a time-averaged Ponyting vector
which can indicate the propagation direction of light energy. Application of these formulations in the analysis of a DML example demonstrates the high accuracy and efficiency of our method. 2010 Society of Photo-Optical Instrumentation Engineers.
Backlund transformation, nonlinear superposition formula and solutions of the calogero equation
期刊论文
iSwitch采集
Physics letters a, 2008, 卷号: 372, 期号: 41, 页码: 6273-6279
作者:
Yong, Xuelin
;
Zhang, Zhiyong
;
Chen, Yufu
收藏
  |  
浏览/下载:27/0
  |  
提交时间:2019/05/10
Calogero equation
Backlund transformation
Nonlinear superposition formula
Exact solution
Wronskian determinant solution