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Higher Order Fractional Differentiability for the Stationary Stokes System被引量:1
《Acta Mathematica Sinica,English Series》2023年第1期13-29,共17页Ling Wei MA Zhen Qiu ZHANG Qi XIONG 
Supported by the National Natural Science Foundation of China(Grant Nos.12071229,12101452);Tianjin Normal University Doctoral Research Project(Grant No.52XB2110)。
This paper focuses on the higher order fractional differentiability of weak solution pairs to the following nonlinear stationary Stokes system{div A(x-Du)-■π=divF,inΩdivu=0,inΩ.In terms of the difference quotient ...
关键词:Higher order fractional differentiability Stokes system Besov spaces 
The Birth–death Processes with Regular Boundary: Stationarity and Quasi-stationarity被引量:1
《Acta Mathematica Sinica,English Series》2022年第5期890-906,共17页Wu Jun GAO Yong Hua MAO Chi ZHANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11501531,11701265,11771047)。
For the birth–death Q-matrix with regular boundary,its minimal process and its maximal process are closely related.In this paper,we obtain the uniform decay rate and the quasi-stationary distribution for the minimal ...
关键词:Birth-death process regular boundary EIGENVALUE hitting time strong stationary time quasi-stationary distribution 
Decay of the 2D Periodic Stationary Viscous Surface Waves
《Acta Mathematica Sinica,English Series》2018年第12期1837-1862,共26页Yun Rui ZHENG 
We consider the evolution of viscous fluids in a 2D horizontally periodic slab bounded above by a free top surface and below by a fixed fiat bottom. This is a free boundary problem. The dynamics of the fluid are gover...
关键词:Free boundary problems global existence Navier Stokes equations 
On Partial Regularity of Suitable Weak Solutions to the Stationary Fractional Navier-Stokes Equations in Dimension Four and Five
《Acta Mathematica Sinica,English Series》2017年第12期1632-1646,共15页Xiao Li GUO Yue Yang MEN 
In this paper, we investigate the partial regularity of suitable weak solutions to the multi- dimensional stationary Navier-Stokes equations with fractional power of the Laplacian (-△)^α (n/6 ≤α〈1 and a ≠ 1/2...
关键词:Stationary Navier-Stokes equations suitable weak solutions partial regularity 
Stationary Gromov–Witten Invariants of Projective Spaces
《Acta Mathematica Sinica,English Series》2017年第9期1163-1183,共21页Paul NORBURY 
Supported by Australian Research Council(Grant No.DP1094328)
We represent stationary descendant Cromov-Witten invariants of projective space, up to explicit combinatorial factors, by polynomials. One application gives the asymptotic behaviour of the large degree behaviour of st...
关键词:Gromov-Witten RECURSION ASYMPTOTIC 
Polar Functions and Intersections of the Random String Processes
《Acta Mathematica Sinica,English Series》2012年第10期2067-2088,共22页Zhen Long CHEN 
Supported by Natural Science Foundation of Zhejiang Province of China (Grant No. Y6100663)
Let {us (x) : s 〉 0, x ∈ JR} be a random string taking values in ]Rd. The main goal of this paper is to discuss the characteristics of the polar functions of {us (x) : s ≥ 0, x ∈ JR}. The relationship betwee...
关键词:Random string process stationary pinned string polar function Hausdorff dimension packing dimension capacity 
On Almost Sure Max-limit Theorems of Complete and Incomplete Samples from Stationary Sequences被引量:2
《Acta Mathematica Sinica,English Series》2011年第7期1323-1332,共10页Bin TONG Zuo Xiang PENG 
Supported by National Natural Science Foundation of China (Grant No. 70371061) and the Program for Excellent Talents in Chongqing Higher Education Institutions (Grant No. 120060-20600204)Acknowledgements The authors would like to express their deep thanks to the referees for carefully reading the paper and for their comments which greatly improve the paper.
Let Mn denote the partial maximum of a strictly stationary sequence (Xn). Suppose some of the random variables of (Xn) can be observed and let Mn stand for the maximum of observed random variables from the set {X1...
关键词:Almost sure limit theorem MAXIMUM missing observations stationary Caussian sequence 
Some New Results on Transition Probability
《Acta Mathematica Sinica,English Series》2008年第12期1965-1984,共20页Yu Quan XIE 
Hunan Provincial Natural Science Foundation of China (06JJ50004);the Construct Program of the Key Discipline in Hunan Province
In this paper, we study the basic properties of stationary transition probability of Markov processes on a general measurable space (E, δ), such as the continuity, maximum probability, zero point, positive probabil...
关键词:Markov processes stationary transition probability maximum probability uniformly standard representation theorem 
Limsup Results and LIL for Partial Sum Processes of a Gaussian Random Field被引量:1
《Acta Mathematica Sinica,English Series》2008年第9期1497-1506,共10页Yong-Kab CHOI Mikls CSRG 
NSERC Canada grants of Miklos Csorgo and Barbara Szyszkowicz at Carleton University,Ottawa,and by KRF-2003-C00098;NSERC Canada grants at Carleton University,Ottawa
Let {ξ j ; j ∈ ℤ+ d be a centered stationary Gaussian random field, where ℤ+ d is the d-dimensional lattice of all points in d-dimensional ...
关键词:stationary Gaussian random field regularly varying function large deviation probability law of the iterated logarithm 
On the Regularity for Stationary Harmonic Maps
《Acta Mathematica Sinica,English Series》2008年第2期223-226,共4页De Liang HSU Jia Yu LI 
We prove a compactness theorem for k-indexed stationary harmonic maps, and show a regularity theorem for this kind of maps which says that the singular set of a k-indexed stationary harmonic map is of Hausdorff dimens...
关键词:k-indexed stationary harmonic map stable stationary harmonic map blowing up Morse index 
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