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 ...
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 ...
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...
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...
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...
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...
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...
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...
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 ...
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...