线性交换子的加权估计

 多线性交换子T_b(f)(x)=∫_Rⁿ∏_i=1^m(b_i(x)-b_i(y))k(x,y)f(y)dy在L^p(Rⁿ)(1K是一个标准的Calderón-Zygmund核.主要研究交换子Mf(x)=sup_x∈Q∫_Q|f(y)|dy,其中f∈L_loc(Rⁿ),x∈Rⁿ,Q是任何包含x的方体,并用Sharp极大估计得到了该多线性交换子在Herz空间的一个加权有界性.     

三维磁微极流体方程组弱解的压力正则性准则

 研究磁微极流体方程弱解的正则性,证明了用压力P控制的正则准则.即:如果压力P满足:P∈L^q(0,T;L^p),(3/p)+(2/q)≤2,(3/2)＜p≤∞或∂_zP∈L^q(0,T;L^p),(3/p)+(2/q)≤(7/4),(12/7)≤p≤4;则弱解(u,ω,b)在(0,T]上是光滑解.     

一类三圈图关于Merrifield-Simmons指标和Hosoya指标的排序

研究了一类三圈图T^m,k,r_n,p,q的Merrifield-Simmons指标和Hosoya指标，根据C_p上两接点u和v之间的距离，给出了该类三圈图关于这两种指标的排序     

暗物质、暗能量对宇宙未来命运的影响

 据实验检测和理论计算,论证了现时中微子的超对称伴子“中性微子”U_e,B⁰(q₂,g)是宇宙暗物质的最佳候选粒子.认为超新星爆炸释放的暗能量,迫使宇宙背景光子热平衡态的温度T、压强p上升.将压强类比为“反引力”,当“反引力”(压强)大于引力,则宇宙将加速膨胀;当“反引力”小于引力,则宇宙将收缩.     

一类非线性薛定谔方程的孤子解

 研究了具有V(x,t)=f₁(t)x+f₂(t)x²形式的外部势的非线性薛定谔方程的单一孤立子解.结果表明:当孤立子的中心满足带有势V(x,t)的牛顿方程,孤立子的内部结构由"体固定"坐标系决定.孤立子的结构与f₁(t)无关.若f₂(t)与t无关,孤立子是固定的.原则上,若f₂(t)剧烈变化,则孤立子将扩散.但数值计算表明,在一定条件下,孤立子还是经得起f₂(t)的剧烈变化.     

Hilbert空间中两个K-框架的算子组合

讨论了Hilbert空间中两个K-框架{f_i}^∞_i=1与{g_i}^∞_i=1通过算子作用再求和后得到的序列{T₁ f_i+T₂g_i}^∞_i=1成为K-框架与紧K-框架的一系列等价条件,所得结果推广与修正了已有结果.     

对数凹函数熵的低维Busemann-Petty问题

引入对数凹函数熵的Busemann-Petty问题,即对于2个Rⁿ上的偶的对数凹函数f和g, 且f和g具有正的、有限的积分,假设∫_Rⁿ∩Hf(x)dx≤_Rⁿ∩Hg(x)dx对于任意i维子空间H均成立,是否能够得到Ent(f)≥Ent(g).得到了该问题的部分解答, 为解决凸体上的低维Busemann-Petty问题提供了一种新的途径.     

CFD simulation of fluidization quality in the three-dimensional fluidized bed

Multiphase computational fluid dynamics (CFD) has become an alternative method to experimental investigation on predicting the fluid dynamics in gas-solid fluidized beds. The model of Brandani and Zhang, which contains additional terms in both the gas- and solid-phase momentum equations, is employed to explore homogenous fluidization of Geldart type A particles and bubbling fluidization of Geldart type B particles in three-dimensional gas-fluidized beds. In this model, only a correlation for drag force is necessary to close the governing equations. Two kinds of solids, i.e., fine alumina powder (d_p=60 μm and ρ_p=1500 kg/m³) and sand (d_p=610 μm and ρ_p=2500 kg/m³), are numerically simulated in a rectangular duct of 0.2 m (long) ×0.2 m (wide) ×0.5 m (high). The results show good agreement with the classic theory of Geldart.     

lnp空间中单位球的距离及其应用

用优化的方法得到lⁿ_p空间中单位球位似意义下的Banach-Mazur距离．与Banach-Mazur距离相比，描述了两个凸体间未经任何旋转变换下的距离．此后，运用这一结果估计了lⁿ_p空间中单位球的高斯测度.     

Marcinkiewicz积分在加权弱Hardy空间的有界性

 介绍了加权弱Hardy空间的相关概念,在其原子分解的基础上,研究了Marcinkiewicz积分在弱Hardy空间的加权有界性,借助于权函数的性质及不等式估计,得到了Ω满足Lip_α(0<α≤1)条件时,Marcinkiewicz积分在加权弱Hardy空间WH_Ω¹(Rⁿ)上是有界的结果.     

An extrapolation theorem on martingale spaces with Ap weights

In this paper, we prove an extrapolation theorem of operators in martingale spaces with A _p weights, which shows that for operators T defined on martingale space L _u ¹ , if T is bounded on martingale space L ^p0(w) for some 1 < p ₀ < ∞ and every, w∈ A _∞, so it is on L ^p,s (w) for every 1 < p, s < ∞, and w ∈ A _∞. We also get some properties of A _p weights and prove that if w ∈ A ₁, then the maximal operator M is bounded on L ^p,q (w) with 1 < p < ∞, 1 < q ≤ ∞.     

Julia sets of the random iteration systems and its subsystems

Suppose that P=(p\-1, p\-2, ..., p\-M)\% is a probability vector with p\-i>0 and Y={1, 2, ..., M}. Let (Y, 2\+Y, μ) be a probability space with μ(i)=p\-i, i=1, 2, ..., M, and (∑\-M, B, m)= Π \+∞\-0(Y, 2\+U, μ). It is shown that for any a \%(0≤a ≤1) \%, there exists a set U∈B such that m(U)=a and the Julia set associated with U is equal to the Julia set associated with ∑\-M\%. Moreover repelling fixed points with respect to U are dense in the Julia set associated with U.     

Banach space valued martingales with respect to complex measure and their inequalities

Let dμ=ϕdν be a complex valued measure where ν is a non-negative measure and ϕ is a complex valued function which satisfiesb _p ⁺ orb _∞ ⁺ ⊂a ₁ condition. We prove some basic martingale inequalities such as B-G inequalities, weak (p, p) and strong (p, p) type inequalities for Banach space valued martingale with respect to complex measure μ. Supported by the National Natural Science Foundation of China Hou Youliang: born in 1956, Ph. D     

A note on characteristic generators of a free cyclic code and its dual

Let C be a free cyclic code over Z _n ^α and dim _p C = k. In the paper, we prove that if the k characteristic generators of C are p-linearly independent then the corresponding nα − k characteristic generators of C ^⊥ are p-linearly independent. We then show that to any trellis that can be constructed from k p-linearly independent characteristic generators of C, there exists a trellis for C ^⊥ with the same state-complexity profile, which generalizes the conjecture of Koetter and Vardy to a free cyclic code over Z _n ^α. Foundation item: Supported by the National Natural Science Foundation of China(60673071)     

Average widths and optimal recovery of multivariate Besov classes inL p (Rd)

Some weak asymptotic results for average σ-K width and average σ_L width of the isotropic Besov classes S r pθB(R d), S r pθb(R d) and the anisotropic Besov classes S r pθB(R d), S r pθb(R d) in L p(R d) (1≤p<∞) are obtained, and the corresponding weak asymptotic optimal subspaces are identified. Furthermore, the weak asymptotic behavior of optimal recovery is established for the isotropic Besov classes S r pθB(R d) in L p(R d) (1≤p≤∞).     

Coral reef ecosystems in the South China Sea as a source of atmospheric CO<Subscript>2</Subscript> in summer

Field measurements of air-sea CO2 exchange in three coral reef areas of the South China Sea (i.e. the Yongshu Reef atoll of the Nansha Islands, southern South China Sea (SCS); Yongxing Island of Xisha Islands, north-central SCS; and Luhuitou Fringing Reef in Sanya of Hainan Island, northern SCS) during the summers of 2008 and 2009 revealed that both air and surface seawater partial pressures of CO2 (pCO2) showed regular diurnal cycles. Minimum values occurred in the evening and maximum values in the morning. Air pCO2 in each of the three study areas showed small diurnal variations, while large diurnal variations were ob-served in seawater pCO2. The diurnal variation amplitude of seawater pCO2 was ~70 μmol mol–1 at the Yongshu Reef lagoon, 420–619 μmol mol–1 on the Yongxing Island reef flat, and 264–579 μmol mol–1 on the reef flat of the Luhuitou Fringing Reef, and 324–492 μmol mol–1 in an adjacent area just outside of this fringing reef. With respect to spatial relations, there were large differences in air-sea CO2 flux across the South China Sea (e.g. ~0.4 mmol CO2 m–2 d–1 at Yongshu Reef, ~4.7 mmol CO2 m–2 d–1 at Yongxing Island, and ~9.8 mmol CO2 m–2 d–1 at Luhuitou Fringing Reef). However, these positive values suggest that coral reef ecosystems of the SCS may be a net source of CO2 to the atmosphere. Additional analyses indicated that diurnal variations of surface seawater pCO2 in the shallow water reef flat are controlled mainly by biological metabolic processes, while those of deeper water lagoons and outer reef areas are regulated by both biological metabolism and hydrodynamic factors. Unlike the open ocean, inorganic metabolism plays a significant role in influencing seawater pCO2 variations in coral reef ecosystems.     

Some clifford martingale spaces

We study the spaces Hp, Sp, Kp, ∑p and ,p of martingales with measure du=ψdυ,where ψ is a function with Clifford algebra values and satisfies bp+-condition. We proved they are equivalent and isomorphic to the corresponding spaces of martingales with real measure dυ, respectively(1≤p＜∞). In the end,we give a martingale f such that f=(fn) ∞∈1K∞ but f=(E(ψ| n)fn)n≥ ∈1K∞.     

Introducing antisense <Emphasis Type="Italic">waxy</Emphasis> gene into rice seeds reduces grain amylose contents using a safe transgenic technique

Rice (Oryza sativa L.) eating quality is one of themost important traits. Amylose content (AC) in rice en-dosperm is a major index affecting rice eating quality[1,2].It has a negative correlation with gel consistency of rice[3].Based on amylose content, r…     

B-Valued Dyadic Derivative

The principles of the new maximal operator H＊ we defined are discussed. We prove that it is bounded from martingale Hardy-Lorentz L^Xp.q[0,1） to the Lorentz L^Xp.q[0,1） for 1/2〈 p〈∞, 0〈~ q ≤ ∞, where X is any Banach space. When the Banach space X has the RN property, the sequence dnHnf converges to f a.e. Meanwhile the convergence in L^Xp norm for 1≤p〈∞ is a consequence of that the family functions K （n∈N） is an approximate identity.     

High-pressure sound velocity of perovskite-enstatite and the possible composition of the Earth’s lower mantle

The compressional sound velocity V_p for enstatite of polycrystalline specimens were measured at pressures from 40 to 140 GPa using the optical analytical techniques under shock loading. The dependence of V_P, (in km/s) on Hugoniot pressure (P, in GPa) can be described by InV_p= 3.079-0.691 In(P) + 0.094(lnP)². V_p satisfies Birch’s law:V _p = 4.068 + 1.677_ρ, where ρ is corresponding density, which indicated that enstatite is stable throughout the conditions of the lower mantle. The wave velocityP is 0.5% lower and the wave velocity S is 2% higher than that of PREM respectively. We concluded that the lower mantle is mainly composed of perovskite-(Mg_1-x, Fe_x) SiO₃ and only a small amount of (Mg_1-x, Fe_x) O is allowed in it.