传承苏州贝氏医药文化的两种书籍——《丸散目录》和明版《本草纲目》石渠阁本

新市古镇贝益寿堂遗存两种古籍,彰显苏州贝氏医药文化精彩纷呈、根基深厚。一为《丸散目录》,内书“贝益寿堂丸散膏丹全录”,是苏州贝氏经营医药三百年心血的结晶;二为明代版《本草纲目》,石渠阁真本,四函三十九册,完整无缺,内有朱印八字“贝益寿堂,真不二价”,寓意货真价实,乃苏州贝氏医药文化与医德之传承。这两种珍贵遗本是祖国医学的宝贵遗产,特予介绍。

THE STABILITY OF BOUSSINESQ EQUATIONS WITH PARTIAL DISSIPATION AROUND THE HYDROSTATIC BALANCE

This paper is devoted to understanding the stability of perturbations around the hydrostatic equilibrium of the Boussinesq system in order to gain insight into certain atmospheric and oceanographic phenomena.The Boussinesq system focused on here is anisotropic,and involves only horizontal dissipation and thermal damping.In the 2D case R^(2),due to the lack of vertical dissipation,the stability and large-time behavior problems have remained open in a Sobolev setting.For the spatial domain T×R,this paper solves the stability problem and gives the precise large-time behavior of the perturbation.By decomposing the velocity u and temperatureθinto the horizontal average(ū,θ)and the corresponding oscillation(ū,θ),we can derive the global stability in H~2 and the exponential decay of(ū,θ)to zero in H^(1).Moreover,we also obtain that(ū_(2),θ)decays exponentially to zero in H^(1),and thatū_(1)decays exponentially toū_(1)(∞)in H^(1)as well;this reflects a strongly stratified phenomenon of buoyancy-driven fluids.In addition,we establish the global stability in H^(3)for the 3D case R^(3).

ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

In this paper,we establish some regularity conditions on the density and velocity fields to guarantee the energy conservation of the weak solutions for the three-dimensional compressible nematic liquid crystal flow in the periodic domain.

白内障术前使用5%聚维酮碘消毒结膜囊对眼表的影响研究

目的比较白内障术前使用5%聚维酮碘(PI)消毒结膜囊不同时间对眼表的变化。方法前瞻性临床研究。选择就诊于我院行白内障超声乳化抽吸+人工晶状体植入术患者240例(240只眼),随机、双盲分成30 s组、1 min组和3 min组,每组80只眼。所有患者术前行5%聚维酮碘消毒结膜囊,分别消毒30 s、1 min和3 min。术前和术后1 d、1周、1个月观察首次非侵入性泪膜破裂时间(NIBUTf)、平均非侵入性泪膜破裂时间(NIBUTav)、泪河高度(TTMH)、眼红分析评分(RS)、中央角膜上皮厚度(CCET)、角膜荧光素染色检查(CFS);观察术前、术后1周和术后1个月眼表疾病指数评分(OSDI)。结果RS:30 s组、1 min组和3 min组术后1 d眼红分析评分明显高于术前,1周后炎症反应逐渐减轻,且三组术后1个月眼红分析评分明显低于术后1 d,有统计学意义(P<0.001);CCET:30 s组、1 min组和3 min组术后1 d中央角膜上皮厚度明显高于术前,1周后角膜水肿程度减轻,且三组中央角膜上皮厚度1个月后明显低于术后1 d,有统计学意义(P<0.001);CFS:30 s组、1 min组和3 min组术后1 d角膜荧光染色评分明显高于术前,且术后1个月明显低于术后1 d,基本上恢复到术前基线水平,有统计学意义(P<0.001);OSDI:30 s组、1 min组和3 min组术前术后比较无统计学意义(P>0.05);所有观察指标,三组之间比较,无统计学意义(P>0.05)。结论白内障术前使用5%聚维酮碘消毒结膜囊对相关眼表造成的影响与结膜囊消毒30 s、1 min和3 min时间长短无关。

人角膜基质透镜长期超低温保存的可行性评估

目的观察超低温环境下长期保存后人角膜基质透镜的透明度及结构变化,探讨简单可行且有效的角膜基质透镜长期保存方案。方法收集2013-2020年于中山大学中山眼科中心海南眼科医院行飞秒激光小切口角膜透镜取出术(SMILE)200眼,手术中获取完整人角膜基质透镜标本200份。将人角膜基质透镜标本置于-80℃超低温冰箱中保存,按照保存时间的不同将标本分为1个月组、24个月组、60个月组和84个月组,每组50份。采用超微量分光光度计测量各组在300~800 nm波长范围内角膜基质透镜的透光率,每个透镜共连续检测10次,每次间隔50 nm;分别采用苏木精-伊红染色和Masson染色观察各组角膜基质透镜的组织学形态变化和胶原纤维结构改变;采用透射电子显微镜观察各组角膜基质透镜中胶原纤维排列方式及角膜基质细胞的超微结构变化;采用TUNEL染色法检测各组人角膜基质透镜中角膜基质细胞凋亡情况。结果各组450~800 nm波长范围内角膜基质透镜透光率比较差异均无统计学意义(均P>0.05)。Masson染色结果显示,1个月组角膜基质透镜胶原纤维排列整齐、紧密,24个月组部分胶原纤维间出现空泡,60个月组胶原纤维排列疏松,空泡增多,84个月组部分胶原纤维脱落,角膜基质透镜变薄;苏木精-伊红染色显示角膜基质透镜形态改变与胶原纤维变化相对应。透射电子显微镜下可见1个月组角膜基质透镜胶原纤维排列规则,角膜基质细胞呈长梭形,核膜完整,胞质丰富;24个月组胶原纤维排列稍疏松,角膜基质细胞变形,核膜不完整;60个月组胶原纤维排列疏松、不整齐,细胞核萎缩变形;84个月组胶原纤维排列紊乱,角膜基质细胞皱缩,核膜不连续,核质裂解。TUNEL染色结果显示,1个月组、24个月组、60个月组和84个月组透镜中基质细胞凋亡率分别为(87.80±1.17)%、(89.50±1.05)%、(89.30±1.51)%和(90.20±1.47)%,总体比较差异无统计学意义(F=4.525,P=0.053)。结论人角膜基质透镜超低温环境下保存84个月可见胶原纤维排列紊乱及角膜基质细胞凋亡,但其透明度和完整性仍较好。超低温保存技术长期保存角膜基质透镜有效且简单可行。

Fe3C-N-doped carbon modified separator for high performance lithium-sulfur batteries

A new Fe3C-N-doped reduced graphene oxide(Fe3C-N-rGO)prepared by a facile method is used as a separator for high performance lithium-sulfur(Li-S)batteries.The Fe3C-N-rGO is coated on the surface of commercial polypropylene separator(Celgard 2400)close to the sulfur cathode.The special nanotubes are in-situ catalyzed by Fe3C nanoparticles.They could entrap lithium polysulfides(Li PSs)to restrain the shuttle effect and reduce the loss of active material.The battery with the modified separator and sulfur cathode shows an excellent cycle performance.It has a high rate performance,580.5 mAh/g at the high current rate of 4 C relative to 1075 mAh/g at 0.1 C.It also has an initial discharge capacity of 774.8 m Ah/g measured at 0.5 C and remains 721.8 mAh/g after 100 cycles with a high capacity retention of 93.2%.The outstanding performances are notable in recently reports with modified separator.

ON INTEGRABILITY UP TO THE BOUNDARY OF THE WEAK SOLUTIONS TO A NON-NEWTONIAN FLUID

This work consider boundary integrability of the weak solutions of a non-Newtonian compressible fluids in a bounded domain in dimension three, which has the constitutive equartions as ■The existence result of weak solutions can be get based on Galerkin approximation. With the linear operator B constructed by BOGOVSKII, we show that the density ■is square integrable up to the boundary.

PARTIAL REGULARITY OF STATIONARY NAVIER-STOKES SYSTEMS UNDER NATURAL GROWTH CONDITION

In this article, we consider the partial regularity of stationary Navier-Stokes system under the natural growth condition. Applying the method of A-harmonic approximation,we obtain some results about the partial regularity and establish the optimal Holder exponent for the derivative of a weak solution on its regular set.

A NECESSARY CONDITION FOR CERTAIN INTEGRAL EQUATIONS WITH NEGATIVE EXPONENTS

This paper is devoted to studying the existence of positive solutions for the following integral system {u(x)=∫_(R^n)|x-y|~λv-~q(y)dy, ∫_(R^n)|x-y|~λv-~p(y)dy,p,q>0,λ∈(0,∞),n≥1.It is shown that if(u,v) is a pair of positive Lebesgue measurable solutions of this integral system, then 1/(p-1)+1/(q-1)=λ/n, which is different from the well-known case of the Lane-Emden system and its natural extension, the Hardy-Littlewood-Sobolev type integral equations.

ON THE HEAT FLOW OF EQUATION OF H-SURFACE

We study the heat flow of equation of H-surface with non-zero Dirichlet boundary in the present article. Introducing the "stable set" M2 and "unstable set" M1, we show that there exists a unique global solution provided the initial data belong to M2 and the global solution converges to zero in H^1 exponentially as time goes to infinity. Moreover, we also prove that the local regular solution must blow up at finite time provided the initial data belong to M1.

A GLOBAL EXISTENCE RESULT FOR KORTEWEG SYSTEM IN THE CRITICAL L^P FRAMEWORK

The purpose of this work is to investigate the initial value problem for a general isothermal model of capillary fluids derived by Dunn and Serrin [12], which can be used as a phase transition model. Motivated by [9], we aim at extending the work by DanchinDesjardins [11] to a critical framework which is not related to the energy space. For small perturbations of a stable equilibrium state in the sense of suitable L^p-type Besov norms,we establish the global existence. As a consequence, like for incompressible flows, one may exhibit a class of large highly oscillating initial velocity fields for which global existence and uniqueness holds true.

REGULARITY OF WEAK SOLUTIONS TO A CLASS OF NONLINEAR PROBLEM

We study the regularity of weak solutions to a class of second order parabolic system under only the assumption of continuous coefficients.We prove that the weak solution u to such system is locally Holder continuous with any exponent α∈(0,1)outside a singular set with zero parabolic measure.In particular,we prove that the regularity point in Q_(T) is an open set with full measure,and we obtain a general criterion for the weak solution to be regular in the neighborhood of a given point.Finally,we deduce the fractional time and fractional space differentiability of D_(u),and at this stage,we obtain the Hausdorff dimension of a singular set of u.

PARTIAL REGULARITY FOR STATIONARY NAVIER-STOKES SYSTEMS BY THE METHOD OF A-HARMONIC APPROXIMATION

In this article,we prove a regularity result for weak solutions away from singular set of stationary Navier-Stokes systems with subquadratic growth under controllable growth condition.The proof is based on the A-harmonic approximation technique.In this article,we extend the result of Shuhong Chen and Zhong Tan[7]and Giaquinta and Modica[18]to the stationary Navier-Stokes system with subquadratic growth.

THE DECAY ESTIMATES FOR MAGNETOHYDRODYNAMIC EQUATIONS WITH COULOMB FORCE

In this article we consider the compressible viscous magnetohydrodynamic equations with Coulomb force.By spectral analysis and energy methods,we obtain the optimal time decay estimate of the solution.We show that the global classical solution converges to its equilibrium state at the same decay rate as the solution of the linearized equations.

THE TIME DECAY RATES OF THE CLASSICAL SOLUTION TO THE POISSON-NERNST-PLANCK-FOURIER EQUATIONS IN R^(3)

In this work,the Poisson-Nernst-Planck-Fourier system in three dimensions is considered.For when the initial data regards a small perturbation around the constant equilibrium state in a H^(3)∩■^(-s)(0≤s≤1/2)norm,we obtain the time convergence rate of the global solution by a regularity interpolation trick and an energy method.

非齐次不可压MHD方程的正则性与能量耗散

本文主要研究定义在T^3上的非齐次不可压MHD方程弱解的能量局部方程;证明在Besov空间中,解的正则性足以保证总能量的平衡.本文的估计方法是Feireisl的估计方法的一个变形.

The method of p-harmonic approximation and optimal interior partial regularity for energy minimizing p-harmonic maps under the controllable growth condition

In this paper, we are concerned with the partial regularity for the weak solutions of energy minimizing p-harmonic maps under the controllable growth condition. We get the interior partial regularity by the p-harmonic approximation method together with the technique used to get the decay estimation on some Degenerate elliptic equations and the obstacle problem by Tan and Yan. In particular, we directly get the optimal regularity.

Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources

This paper deals with the following Petrovsky equation with damping and nonlinear sources:utt+△^(2)u-M(||■u||2^(2))△ut+|ut|^(m(x)-2)ut=|u|^(p(x)-2)u under initial-boundary value conditions,where M(s)=a+b sγis a positive C 1 function with the parameters a>0,b>0,γ≥1,and m(x)and p(x)are given measurable functions.The upper bound of the blow-up time is derived for low initial energy by the differential inequality technique.For m(x)≡2,in particular,the upper bound of the blow-up time is obtained by the combination of Levine's concavity method and some differential inequalities under high initial energy.In addition,we discuss the lower bound of the blow-up time by making full use of the strong damping.Moreover,we present the global existence of solutions and an energy decay estimate by establishing some energy estimates.

Blow-up of Solutions for a Time-space Fractional Evolution System

In this paper, firstly, we study the local existence and uniqueness of mild solutions for fractional evolution systems with nonlocal in time nonlinearity. Then, we claim that such a mild solution is weak solution of this system. Finally, we prove a blow-up result under some conditions.

Blow-up of Viscous Compressible Reactive Self-gravitating Gas

In this paper, we prove some results concerning blow-up of viscous compressible reactive （selfgravitating） flows when the initial density is compactly supported and the other initial value satisfy proper conditions. It extends the work of Xin and Cho to the case of viscous compressible reactive self-gravitating flows equations. We control the lower bound of second moment by total energy and obtain the precise relationship between the size of the support of initial density and the existence time.