期刊：
Journal of Statistical Planning and Inference,2011年141(4):1487-1496 ISSN：0378-3758
通讯作者：
Ning, Jian-Hui
作者机构：
[Ning, Jian-Hui] Ctr China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.;[Zhou, Yong-Dao; Ning, Jian-Hui; Fang, Kai-Tai] BNU HKBU United Int Coll, Div Sci & Technol, Zhuhai 519085, Peoples R China.;[Zhou, Yong-Dao] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China.
通讯机构：
[Ning, Jian-Hui] C;Ctr China Normal Univ, Dept Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Experiments with mixtures;Uniform design;L-p-discrepancy;DM2-discrepancy
摘要：
The uniform design is a kind of space filling design that is robust against the model specification. The uniform design has been widely applied to experiments with mixtures. In this paper, we propose a new discrepancy DM2-discrepancy as a new criterion to measure the uniformity of designs with mixtures. A computational formula of the new discrepancy, by the functional method, is also given. This property overcome the main disadvantage of the discrepancies proposed before.
期刊：
Journal of Differential Equations,2011年250(9):3559-3583 ISSN：0022-0396
通讯作者：
Wang, Hua
作者机构：
[Wang, Hua] Huazhong Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China.;[Wang, Hua] Ecole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France.;[Cui, Shangbin] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China.
通讯机构：
[Wang, Hua] H;Huazhong Normal Univ, Dept Math, Wuhan 430079, Hubei, Peoples R China.
关键词：
35B65;35Q55;35Q60;Bilinear estimates;Local well-posedness;Schrödinger-Korteweg-de Vries system
摘要：
In this paper we prove that in the general case (i.e. beta not necessarily vanishing) the Cauchy problem for the Schrodinger-Korteweg-de Vries system is locally well-posed in L(2) x H(-3/4), and if beta = 0 then it is locally well-posed in H(s) x H(-3/4) with -3/16 < s <= 1/4. These results improve the corresponding results of Corcho and Linares (2007) [5]. Idea of the proof is to establish some bilinear and trilinear estimates in the space G(s) x F(s), where G(s) and F(s) are dyadic Bourgain-type spaces related to the Schrodinger operator and the Airy operator at, respectively, but with a modification on Fs in low frequency part of functions with a weaker structure related to the maximal function estimate of the Airy operator. (C) 2011 Elsevier Inc. All rights reserved.
摘要：
This paper introduces a novel feature matching algorithm using both Image interpolating method and edge detecting method to make feature matching more precise. The proposed feature matching is composed of four elements: inputting data, interpolating method, features extracting and matching. At first, the tasks in human anatomy and the method to input slices data are introduced. Secondly, we propose a novel slices matching using image interpolating method and edge detecting method. Experimental results demonstrate that the proposed approach owns the properties both quickly and exactly. (C) 2011 Published by Elsevier Ltd. Selection and/or peer-review under responsibility of ICAE2011.
摘要：
In this paper, we prove a blow-up criterion in terms of the upper bound of the liquid mass for the strong solution to the two-dimensional (2D) viscous liquid-gas two-phase flow model in a smooth bounded domain. The result also applies to three-dimensional (3D) case.
