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An Inverse Stefan Problem Relevant to Boilover: Heat Balance Integral Solutions and Analysis
fire, boilover Stefan problems heat balance integral
2011/1/20
Stefan prob lems rel e vant to burn ing oil-wa ter sys tems are for mu lated. Two mov ing bound ary sub-prob lems are de fined: burn ing liq uid sur face and for ma tion of a dis til la tion (“hot zon...
A subset A of ℜ, the set of real numbers, is bounded if |a| ≤ M for all a ∈ A where M is a positive real constant number. This is equivalent to the statement that any sequence of points in A has...
Phase equilibria of polydisperse hydrocarbons: moment free energy method analysis
equilibria of polydisperse hydrocarbons free energy method analysis
2011/3/2
We analyze the phase equilibria of systems of polydisperse hydrocar-bons by means of the recently introduced moment method. Hydrocarbons are modelled with the Soave-Redlick-Kwong and Peng-Robinson equ...
Metric characterization of apartments in dual polar spaces
Metric characterization apartments dual polar spaces
2010/12/3
Let be a polar space of rank n and let Gk(), k 2 {0, . . . , n−1} be the polar Grassmannian formed by k-dimensional singular subspaces of .The corresponding Grassmann graph will be denoted b...
Automorphisms of moduli spaces of symplectic bundle
Automorphisms of moduli spaces symplectic bundle
2010/12/3
Let X be an irreducible smooth complex projective curve of genus g ≥ 3. Fix a line bundle L on X. Let MSp(L) be the moduli space of symplectic bundles (E, ' : E ⊗ E → L) on X, with the symplecti...
Minimizers of the Willmore functional under fixed conformal class
Willmore surfaces conformal parametrizatio geometric measure measure
2010/12/15
We prove the existence of a smooth minimizer of the Willmore energy in the class of conformal immersions of a given closed Riemann surface into Rn, n = 3, 4, if there is one conformal immersion with W...
IFS中一个经典遍历性质的一些推广
迭代函数系统(IFS) 不变测度 遍历 Banach极限
2009/10/22
该文针对概率迭代函数系统(IFS),给出一些遍历性质,这些结果推广了Elton[2]的结果,一个结果在某种意义上与Fustenberg[4]和Assani [1]关于弱混合系统中的结果类似.
正交复滤波器与小波的数值构造
数值构造 小波 正交复滤波器
2009/7/14
研究了参数化正交复滤波器与小波的数值构造方法.在以往研究成果的基础上，建立了构造正交复滤波器的蝶形算法，该算法便于计算任意长度紧支集复滤波器，便于优化参数设计所需的滤波器与小波.并且研究了参数变化与复滤波器性质的关系，给出相关定理并加以证明.最后给出不同参数下复滤波器、复尺度函数和复小波的计算实例，通过参数优化得到具有对称性和近似线性幅频特性的复小波函数.
晶体结构相变的Morse理论分析
Morse理论 临界点 相变 群
2008/12/11
运用Morse理论讨论晶体结构的相变问题，给出了寻找晶体结构相变对称性破缺的一种更简洁的新方法．
算子的拟相似性与本质谱的性质
有界线性算子 拟相似 本质谱 连通分支
2008/8/13
设算子$A$和$B$拟相似, 本文通过算子谱的精密结构的分析,给出了算子$A$的Wolf本质谱、Kato本质谱、Weyl本质谱以及右本质谱的连通分支与算子$B$的Wolf本质谱的某些子集的相交关系, 并肯定地回答了L.A.Fialkow在文献[3]中提出的一个问题.
随机单调算子的满射性及应用
随机单调算子 随机算子方程 锐角原理 满射定理
2008/5/13
研究Banach空间中的随机单调算子，建立了连续随机单调算子的随机锐角原理、随机满射定理、随机双射定理及Hilbert空间上的一类连续随机算子的新的随机不动点定理。并应用随机强单调算子理论讨论了随机Hammerstein积分方程随机解的存在唯一性.
奇异临界椭圆问题的正解
奇异 变分方法 Sobolev嵌入 Hardy不等式
2012/11/27
考虑奇异方程-Δpu=｜u｜r-2u+（｜u｜p(s)-2u）/（｜x｜s）+f(x,u)解的存在性,研究了其所对应的变分泛函的(P.S.)序列,给出了一个局部紧性结果,选择特殊的山路定理和能量估计,证明了方程所对应的变分泛函满足局部的(P.S.)条件时,则存在一个山路型的临界点.
Starlikeness Conditions for an Integral Operator
Meromorphic functions Differential subordination Starlike functions Convex functions
2010/4/16
Starlikeness Conditions for an Integral Operator.
A New Integrable Reduction of the Coupled NLS Equation
Multiple Scales Method Coupled nonlinear Klein-Gordon Equation Coupled NLS Equation Spectral Problem Integrable Hamiltonian system
2010/3/4
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We a...