OPTIMAL CONVERGENCE RATES OF LANDAU EQUATION WITH EXTERNAL FORCING IN THE WHOLE SPACE

In this paper, we combine the method of constructing the compensating function introduced by Kawashima and the standard energy method for the study on the Landau equation with external forcing. Both the global existence of solutions near the time asymptotic states which are local Maxwellians and the optimal convergence rates are obtained. The method used here has its own advantage for this kind of studies because it does not involve the spectrum analysis of the corresponding linearized operator.     

2×2拟线性双曲型守恒律组的粘性消失法(英文)

考虑2×2严格双曲型守恒律组(E),它是在Lax意义下真正非线性的,带有初始条件(Ⅰ)众所周知,在条件(M),(C),(Ⅴ)下,初值问题(E)、(Ⅰ)存在整体光滑解,(参看文[1,2])。然而在文中所采用的方法本质地用来求广义解。本文是用粘性消失法证明文[1]的结果。我们把这个结果看作用粘性消失法求(E)、(Ⅰ)的广义解的第一步。本文也可以看作文[4]的某种推广。在文[4]中,(E)是在Lagrange坐标下均熵气体动力学方程组,但无需条件(Ⅴ)。也是用粘性消失法求得光滑解。     

超声电铸提高金属微流控芯片模具的均匀性

利用微电铸技术制作的微流控芯片模具往往存在沉积厚度不均匀的缺陷,这种缺陷会影响模具的尺寸精度及使用性能,并增加模具的制作成本。为了制得厚度均匀的微流控芯片模具,研究了超声电铸对模具均匀性的影响。首先,采用有限元软件COMSOL Multiphysics建立微流控芯片模具的微电铸模型,分析电铸2 h后的模具的厚度分布。并根据该仿真结果,设计掩模版。然后,在自主搭建的超声电铸装置中进行一系列电铸实验,来研究超声搅拌对模具均匀性的影响。实验结果表明:电铸过程中添加超声搅拌可以改善微流控芯片模具的均匀性。超声功率为200 W时,超声频率改善模具均匀性的程度为200 kHz＞80 kHz＞120 kHz。超声频率为200 kHz时,超声功率改善模具均匀性的程度为500 W＞200 W＞100 W。当超声的频率和功率分别为200 kHz和500 W时,与无超声电铸相比,模具的均匀性提高约30%。     

COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3

The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R 3 in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in H l (R 3 ) ∩ Bs 1,1 (R 3 ) for l ≥ 4 and s ∈ (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t) 3 4 , but the momentum for each particle decays at the optimal rate (1 + ...     

透明质酸聚合物胶束的制备及其内涵体的pH敏感性

首先以脱氧胆酸(DOCA)和三苯甲基组氨酸甲酯盐酸盐(H-His(Trt)-OMe·HCl)为反应物,经催化剂缩合制得DOCA-His(Trt)中间体。然后将透明质酸(HA)经N-羟基琥珀酰亚胺(NHS)和1-乙基-(3-二甲基氨基丙基)碳酰二亚胺盐酸盐(EDC·HCl)活化形成活性酯。最后将活性酯接枝DOCA-His(Trt)中间体,制得HA-DOCA-His(Trt)聚合物,脱Trt保护,制得HADOCA-His聚合物。采用FT-IR鉴定HA-DOCA-His的化学结构,并评价其溶血性和pH敏感性,通过超声法制备载紫杉醇的HA-DOCA-His胶束,并以透析法考察其体外释药行为。采用MTT法考察胶束的细胞毒性。结果表明,HA-DOCA-His溶血性与聚氧乙烯蓖麻油(Cremophor EL)相当,远远低于Tween 80;载紫杉醇的HA-DCA-His胶束在模拟内涵体环境中具有触发释药行为;相比于紫杉醇溶液,HA-DOCA-His载药胶束在模拟内涵体pH环境下表现出高效抑制MCF-7肿瘤细胞的增殖作用;HA-DOCA-His胶束可作为CD44受体和内涵体pH敏感的多靶向胶束载药系统,用于难溶性抗肿瘤药物的肿瘤靶向递药和胞内靶向释药。     

Global Smooth Solutions for Quasilinear Hyperbolic Equations with "Really Large" Initial Date

Consider the Cauehy problem of the first order quasilinear hyperbolie equations z_t λ(z,w)z_x=0,w_t (z,w)w_x=0, (E) z(0,x)=2_0(x),w(0,x)=w_0(x). (I)We suppose F(z,w)=μ(z,w)-λ(z,w)>O,in D,(1) λ_z(z,w)>O,μ_w(z,w)>O.in D.(2)It is well known that if Q∈∈D (V)where Q≡{(z,w)|z_*≤z≤z~*,w_*≤w≤w~*},z_*=inf z_0(x),~*=8up z_0(x),w_*=infw_0(x),w~*=supw_0(x),then the necessary and 8ufficient COildition for the existence ofglobal smooth solution is[1—3] z_0~＇≥O,w_0~(x)≥0 (M)asz_0(x),w_0(x)∈C~1(R).However,under the COIldition(V),the initial data under     

EXISTENCE AND NONEXISTENCE OF GLOBAL CONTINUOUS SOLUTIONS TO RIEMANN PROBLEM FOR DAMPED P-SYSTEM

In this paper, we extend the result in [16] to general p(v). We prove that, under condition (M) when p≥3/2, where , there exists a unique global continuous solution to the Riemann problem (E), (R), whose structure is similar to the local solution. When 1相似文献   

有机功能化介孔氧化硅的制备和表征

有机功能化的介孔氧化硅在催化领域、吸附分离、生物化学和电子学等领域有广泛的应用前景。本文综述了近年来有机功能化介孔氧化硅的研究进展,主要介绍了有机功能化的介孔氧化硅的制备方法、种类和表征手段,并对其未来发展前景进行了展望。有机功能化的介孔氧化硅的制备方法主要有接枝法、共缩聚法、有序介孔有机硅法和自模板法,常用的表征方法有粉末X-射线衍射分析、低温N₂吸附-脱附、透射电镜、红外光谱、热重分析、元素分析和²⁹Si、¹³C交叉极化和魔角旋转核磁共振等。     

镁的相对原子质量测定实验改进

设计了一种测定镁的相对原子质量的“双量气管”新装置,通过正交实验对测定镁的相对原子质量的主要影响因素进行了探讨,得到了该装置的最佳实验条件为:镁条质量为0.016 0 g,H2SO4浓度为2 mol/L,H2SO4用量为2 mL。此条件下测得镁相对原子质量为24.322 3,相对误差为0.071 1%。该装置操作简单,有效地克服了传统装置操作繁琐、液面调控不准确以及容易溢水的缺点。实验测定结果达到无机化学实验的要求。     

COMPRESSIBLE NON-ISENTROPIC BIPOLAR NAVIER-STOKES-POISSON SYSTEM IN R~3

The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R 3 in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in H l (R 3 ) ∩ Bs 1,1 (R 3 ) for l ≥ 4 and s ∈ (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t) 3 4 , but the momentum for each particle decays at the optimal rate (1 + t) 1 4 s 2 which is slower than the rate (1 + t) 3 4 s 2 for the compressible Navier-Stokes (NS) equations [19] for same initial data. However, the total momentum tends to the constant state at the rate (1+t) 3 4 as well, due to the interplay interaction of charge particles which counteracts the influence of electric field.