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Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities
Free boundary problems of the Euler equation local well-posedness hydrodynamical instabilities
2015/4/3
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities.
Euler Characteristics of Tautological Sheaves on Hilbert Schemes of Points
Euler Characteristics Tautological Sheaveas Hilbert Schemes of Points
2015/3/24
Professor Chern recruited geometers, physicists and combinatorists to work at Nankai Institute of Mathematics (now Chern Institute of Mathematics).
Euler equations of incompressible fluids use and enrich many branches of mathematics, from integrable systems to geometric analysis. They present important open physical and mathematical problems. Exa...
Euler's Partition Theorem with Upper Bounds on Multiplicities
partition Euler's partition theorem Sylvester's bijection
2014/6/3
We show that the number of partitions of n with alternating sum k such that the multiplicity of each part is bounded by 2m + 1 equals the number of partitions of n with k odd parts such that the multi...
Higher Order Log-Concavity in Euler's Difference Table
log-concavity 2-log-concavity reverse ultra log-concavity Euler's difference table
2014/6/3
For 0 ≤ k ≤ n, let ekn be the entries in Euler's difference table and let dkn = ekn/k!. Dumont and Randrianarivony showed ekn equals the number of permutations on [n] whose fixed points are contained ...
We show that if p is an odd prime then p−1 X k=0 EkEp−1−k 1 (mod p) and p−3 X k=0 EkEp−3−k (−1)(p−1)/22Ep−3 (mod p),where E0,E1,E2, . . . are ...
A modified backward Euler scheme for the diffusion equation subject to purely integral conditions
Diffusion equation Modified backward Euler method
2010/9/25
In this paper, a modified backward Euler scheme is developped for obtaining approximate solution to the initial-boundary value problem for one-dimensional diffusion equation with purely integral condi...
A new approach to incorporate uncertainty into Euler's method
Euler’s Method Fuzzy Initial Value Fuzzy Set
2010/9/27
Fuzzy set provides a powerful technique to introduce uncertainty into numerical methods. However, the computations of fuzzy sets often face difficult problems. This is due to non-applicability of comm...
We consider a topological integral transform of Bessel (concentric isospectral sets) type and Fourier (hyperplane isospectral sets) type, using the Euler characteristic as a measure. These transforms...
A Unification of Two Refinements of Euler's Partition Theorem
partition Euler's partition theorem refinement bijection Bessenrodt's bijection Andrews-Olsson's theorem
2014/6/3
We obtain a unification of two refinements of Euler's partition theorem respectively due to Bessenrodt and Glaisher. A specialization of Bessenrodt's insertion algorithm for a generalization of the An...
A discrete analogue of the weighted Montgomery identity (i.e. Euler identity) for finite sequences of vectors in normed linear space is given as well as a discrete analogue of Ostrowski type inequalit...
An Interesting Double Inequality for Euler's Gamma Function
Gamma function Psi function Inequalities Polygamma function
2008/7/3
An Interesting Double Inequality for Euler's Gamma Function.
Improvements of Euler-Trapezoidal Type Inequalities with Higher-Order Convexity and Applications
Hadamard inequality Euler formula Convex functions Integral inequalities Numerical integration
2008/7/1
We improve a bounds relating to Euler's formula for the case of a function with higher-order convexity properties. These are used to improve estimates of the error involved in the use of the trapezoid...
Note on Dragomir-Agarwal Inequalities, the General Euler Two-Point Formulae and Convex Functions
Hadamard inequality $r$-convexity Integral inequalities General Euler two-point formulae
2008/6/27
The general Euler two-point formulae are used with functions possessing various convexity and concavity properties to derive inequalities pertinent to numerical integration.
无粘、可压、绝热流体的Euler方程初值问题的适定性
Euler方程 初边值问题；适定性；分层理论
2008/2/11
卷期页码：第26卷 第7期
(2005年7月) P.794
文章编号：1000-0887(2005)07-0794-07
无粘、可压、绝热流体的Euler方程初值问题的适定性
王曰朋
上海大学 上海市应用数学和力学研究所，上海 200072
摘要：根据分层理论提供的基本方法，讨论Euler方程的初值问题的适定性，给出了方程的典型初边值问题适定性的判别条件，确定了Euler方程的局部...