检索结果-南通市图书馆

A blow-up criterion for classical solutions to the compressible Navier-Stokes equations

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science china mathematics 2010年第3期53卷 671-686页

作者： HUANG XiangDi 1 & XIN ZhouPing 2. 1 department of mathematics, {2. of Science and Technology of china, hefei 2.002., china 2.department of mathematics, The Chinese {2. of Hong Kong, Hong Kong, china 1. department of mathematics University of Science and Technology of China Hefei 230026 China2. Department of Mathematics The Chinese University of Hong Kong Hong Kong China

In this paper, we obtain a blow-up criterion for classical solutions to the 3-D compressible Navier-Stokes equations just in terms of the gradient of the velocity, analogous to the Beal-Kato-Majda criterion for the id... 详细信息

关键词： blow-up classical solutions compressible Navier-Stokes

Transitional function of DG to CA3 in the hippocampus

在线全文

学校读者我要写书评

暂无评论

Progress in Natural Science:Materials International 2007年第12期17卷 1436-1444页

作者： Yan Chuankui1 and Liu Shenquan2.1. department of mathematics, Hangzhou Normal {2., Hangzhou 310036, china 2. department of Applied mathematics, School of Mathematical Sciences, South china {2. of Technology, Guangzhou 510640, china) department of mathematics Hangzhou Normal University Hangzhou 310036 China department of Applied mathematics School of Mathematical Sciences South China University of Technology Guangzhou 510640 China

Using single cell channel model, the transmission features of CA3-DG network in the hippocampus are investigated. The influence of the stimulation on discharge pattern of pyramidal neurons is analyzed, which shows that it starts with period spiking discharges, followed by period-doubling bifurcation to chaos, and period 3 discharge evolving into chaos, and ultimately a period of bursting discharges. By the synaptic model, the CA3-DG network model is constructed, which analyzes the summation of postsynaptic currents in the network, the influence of postsynaptic current on discharge rhythm as well as the mechanism of bursting discharges. The strong capacity of spatiotemporal encoding in the network indicates the features of CA3 network during the information transmission process in the hippocampus. The modeling result with time delay of the synaptic transmission is in accordance with the experimental phenomena of action potential in the hippocampus.

关键词： hippocampus CA3-DG period-doubling bifurcation chaos.

A Remark on Computing the Tame Kernel of Quadratic Imaginary Fields

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2002年第3期18卷 513-516页

作者： Xue Jun GUO Guang Tian SONG department of mathematics, {2. of Science and Technology of china, hefei, anhui 2.002., P. R. china department of mathematics University of Science and Technology of China Hefei Anhui P. R. China

In this paper, we discuss a method to compute the tame kernel of a number field. Confining ourselves to an imaginary quadratic field, we prove that _υ:K_2.S F/K_2.S F→k~* is bijective when N_υ>8δ_D^6.

关键词： Tame kernel Quadratic imaginary fields GTT Theorem

K-uniformly rotund spaces and k-uniformly smooth spaces

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第2期43卷 92-95页

作者： Suyalatu 1 and WU Congxin 2.1. department of mathematics,Inner Mongolia Normal {2., Huhhot 01002., china 2. department of mathematics, Harbin Institute of Technology, Harbin 150006, china department of mathematics Inner Mongolia Normal University Huhhot China department of mathematics Harbin Institute of Technology Harbin China

The conception of k_uniform smoothness (KUS) is introduced. It is the extension of the conception of uniform smoothness. It is proved that the k_uniform smoothness and Sullivan’s K_uniform rotundity (KUR) are the daul notions. X+* is a KUR space if and only if X is a KUS space, X+* is a KUS space if and only if X is a KUR space. If X is a KUS space, then X is a (K+1)US space. It is also proved that the KUS space includes the Nan’s k_strongly smooth space.

关键词： K_uniform smoothness K_uniform convexity.

Jackson’s theorem in Q_p spaces

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2010年第2期53卷 367-372页

作者： CHEN YingWei 1 & REN GuangBin 1, 2. 1 department of mathematics, {2. of Science and Technology of china, hefei 2.002., china 2.department of mathematics, {2. of Aveiro, P-3810-193 Aveiro, Portugal 1. department of mathematics University of Science and Technology of China Hefei 230026 China2. Department of Mathematics University of Aveiro P-3810-193 Aveiro Portugal

A Jackson type inequality in Q p spaces is established, i.e., for any f (z) = Σ∞ j=0 ajzj ∈ Qp , 0≤p 1, and k-1 ∈ N,where ω(1/k, f, Q p ) is the modulus of continuity in Q p spaces and C(a) is an absolute const... 详细信息

关键词： Q p space BMOA polynomial approximation

The contact Yamabe flow on K-contact manifolds

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2009年第8期52卷 1723-1732页

作者： ZHANG YongBing department of mathematics, {2. of Science and Technology of china, hefei 2.002., china department of mathematics University of Science and Technology of China Hefei 230026 China

We use the contact Yamabe flow to find solutions of the contact Yamabe problem on K-contact manifolds.

关键词： Yamabe problem Yamabe flow contact metric manifold K-contact manifold 53A30 53D10

Lie bialgebras of generalized Witt type

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2006年第4期49卷 533-544页

作者： SONG Guang’ai & SU Yucai College of mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 2.4005, china {2. of mathematics, university of Science and Technology of china, hefei 2.002., china {2. of mathematics, Shanghai Jiaotong university, Shanghai 2.02.0, china College of mathematics Information Science Shandong Institute of Business Technology Yantai 264005 China department of mathematics University of Science Technology of china Hefei 230026 China department of mathematics Shanghai Jiaotong University Shanghai 200240 China

In this paper, all Lie bialgebra structures on the Lie algebras of generalized Witt type are considered. It is proved that, for any Lie algebra W of generalized Witt type, all Lie bialgebras on W are the coboundary triangular Lie bialgebras. As a by-product, it is also proved that the first cohomology group H1(W, W(?)W) is trivial.

关键词： Lie bialgebras, Yang-Baxter equation, Lie algebra of generalized Witt type.

A NEW TYPE OF PRONORMAT SUBGROUPS IN CHEVALLEY GROUPS

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 2001年第2期22卷 243-248页

作者： WANG DENGYIN department of mathematics,{2., hefei 2.0039, china. 安徽大学安徽合肥 230039

Let L be a simple Lie algebra with irreducible root system. having roots of different length, F be a field of charaCteristic different from 2. G = L(F) be a Chevalley group of type L over F. Denote by Φl the set of all long roots in Φl Set Gl = . It is a subgroup of G generated by all the long root subgroups. This paper determines the pronormality of Gl in G when L is not of type G2.

关键词： Chevalley groups Root systems Pronormal subgroups

AN INVARIANCE OF CDF EQUATION

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of mathematics,Series B 1994年第2期15卷 241-246页

作者： TIAN CHOU(department of Matehematics,university of Science and Technology of{2., hefei 2.0064, anhui,{2.) UNIV SCI & TECHNOL china DEPT MATHHEFEI 230026PEOPLES R CHINA

This paper presents a new invariance for the CDF equation. Using this invariance, the author obtains some new solutions of CDF equation.

关键词： CDF equation Invariance MKdV equation.