一个燃烧波模型解的存在唯一性与渐近行为

本文讨论一类燃烧波模型.在较弱的条件下证明该问题解的存在唯一性,并给出了解的渐近行为.     

Schrodinger—Poisson问题的整体古典解

本文研究双Schrodinger方程序列和Posson方程耦合的方程组的初边值问题,利用不动点空理和嵌入定理,证明了其整体古典解的存在唯一性。     

The Cauchy Problem for the p-Laplacian Equation with a Nonlinear Source

In this paper we study the existence and uniqueness of positive solutions for the p-Laplaeian equation with nonlinear source eu/et=div(|Du|^p-2Du) u^-q,p＞2,0＜q＜∞ in the class of functions with some prescribed growth rate as|x|→∞. We also give a deseription of the large time behaviour and show that it is determined by thep ecompetition between the diffusion and the souree.     

Hopf Bifurcation for Non—smooth Planar Dynamical Systems

The purpose of this paper is to study the Hopf bifurcation property of the non-smooth planar dynamical systemwhere the individual functions K± R2 x I R2 at the right-hand side for some interval I containing 0 are smooth enough and given byThe parameter dependent matrices Aa(A) are assumed to be of the formwhere a 0 and w±() > 0. And the nonlinear terms in equation (??) are assumed to be smooth enough and have the formIn a standard way we extend the system (??) to a differential inclusion …     

激发态氦原子的玻色—爱因斯坦凝聚

1996年 ,《科学美国人》杂志的资深记者约翰·霍根出版了他的一本科普著作———《科学的终结》 .在书中霍根断言 :科学发现的伟大时代已经一去不复返了 .这一令人瞩目的观点 ,加上作者对众多科学家尖刻的讽刺 ,使得该书在上市不久便引发了科学界乃至社会各界的争论 .美国Ｓｃｉｅｎｃｅ周刊曾于 1996年 6月 14日发表了戴维·古德斯坦对该书的书评 .5年后的今天 ,作为对古德斯坦书评的注释 ,在这篇短文中 ,我们将以玻色 -爱因斯坦凝聚 (ＢＥＣ)的研究进展为例 ,批判霍根的科学悲观主义 .将 4千年前的金字塔与哈勃太空望远镜相比 ,哪一个是更…     

费米—狄拉克分布和玻色—爱因斯坦分布的简单推导

给出一种用初级数学手段导出费米－狄拉克分布和玻色－爱因斯坦分布的方法。     

谱色测温法的温度场分区讨论

谱色测温法是该课题组提出的一种新的辐射测温法。针对可探测的温度区间,通过辐射光谱耦合信息的分析,考察了区间内所有温度点都能同时被失真测量的必要条件;对于不满足该条件的测量,提出了温度场分区的概念,描述了温度场分区的步骤,并给出了相应的数值模拟结果。研究结果将对谱色测温法的应用具有指导意义。     

Dissipative dynamics of dark solitons in elongated Bose--Einstein condensates

The dissipative dynamic stability is investigated of dark solitons in elongated Bose--Einstein condensates that can be described by the Gross--Pitaevskii equation including an additional term. Based on the direct perturbation theory for the nonlinear Schr?dinger equation, the dependence of the soliton velocity on time is explicitly given, and the shape of dark solitons remaining unchanged under the dissipative condition is confirmed theoretically for the first time. It is found that the dynamically stable dark solitons turn out to be thermodynamically unstable.     

Search for Exotic States in J／ψ→ρηπ

It is an ideal place to search for exotic states through J/ψ hadronic decays.In this paper,we discuss the way to use the partial wave analysis (PWA) based on covariant helicity amplitude analysis to study the invariant mass spectrum of ηπ and to find the evidence of the existence of exotic states in this channel.The formula for PWA is also given.It is the theoretical foundation of experimental physics analysis on exotic states searching in J/ψ hadronic decays.The theoretical formula can also be used in physics analysis of J/ψ decays into ωππ,φππ,ωKK,φKK and K^* (892)Kπ.     

低能氮离子注入乙醇重水溶液的GC-MS分析

将氮气常压弧光放电产生的N⁺在放电间隙电场的加速下“注入”到乙醇的重水溶液中,利用气相色谱-质谱(GC-MS)分析样品,证实有氘代产物(DCH₂CH₂OH)和羟基取代产物(DOCH₂CH₂OH)生成,这表明低能N⁺诱发水溶液中的反应与水分子分解产生的自由基有关.同时,产物中还检测到乙酸(CH₃COOD )和氨基乙醇(HOCH₂CH₂ND₂),说明反应是在氧化性氛围中进行的,而这种氧化作用可能亦与水分子分解产生的氢氧根自由基有关.氨基乙醇则可能是氮离子俘获重水中的氘形成氨基继而与乙醇反应生成的,这也是氮“沉积”在溶液中的重要形式.这些结果对初步揭示低能离子与水溶液体系反应的机理具有一定的意义.