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$L^p$-estimates of the Botlzmann Equation around a traveling local Maxwellian
Boltzmann equation Lp-stability Lp-estimate travelling local Maxwellian
2010/12/13
In this paper, we are interested in the Lp-estimates of the Boltzmann equation in the case that the distribution function stays around a travelling local Maxwellian. For this, we divide both sides of ...
Incoming and disappearing solutions for Maxwell's equations
Maxwell equations disappearing solutions dissipative boundary conditions
2010/11/29
We prove that in contrast to the free wave equation in R3 there are no incoming solu-tions of Maxwell’s equations in the form of spherical or modulated spherical waves. We construct
solutions which a...
Differential equations, difference equations and algebraic relations: An extension to a theorem of Compoint
Differential equations difference equations algebraic relations
2010/12/6
Let C be an algebraically closed field and X a projective curve over C. Consider an ordinary linear differential equation, or a linear differ-ence equation, with coefficients in the field of rational ...
Navier-Stokes equations on the $\beta$-plane
Navier–Stokes equations beta plane global attractor
2010/12/10
We show that, given a sufficiently regular forcing, the solution of the two-dimensional Navier–Stokes equations on the periodic -plane (i.e.with the Coriolis force varying as f0 + y) will become nea...
In this article we study global in time (not necessarily small) solutions of the equation for the Higgs boson in the Minkowski and in the de Sitter spacetimes. We reveal some qualitative behavior of t...
The periodic Cauchy problem for Novikov's equation
periodic Cauchy problem Novikov's equation
2010/12/3
We study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by V. Novikov. We show the local well-posedness of the problem in Sobolev spaces and existence and ...
混合单调算子方程组解的存在唯一性定理
解 混合单调算子方程组
2009/11/2
利用锥的有关理论和单调迭代技巧,讨论了一类混合单调算子方程组,得到其解的存在唯一性定理,所得结果推广了有关文献中相应的结论.
奇异协方差阵下有效前沿及有效组合的解析解
奇异协方差阵 有效组合 有效前沿 解析解
2009/9/21
利用广义逆矩阵研究了协方差阵奇异时的投资组合问题,突破了传统方法中要求协方差阵可逆的限制,得到了证券市场存在有效组合的充要条件,并给出了有效前沿和有效组合的解析解,成功地推广了经典Markowitz模型,同时还将有助于证券组合有效子集的深入研究.
本文讨论了常微分方程中奇解与包络的关系;指出了现行钦材中关于这段内容存在的一些问题;比较确切地提出并证明了包络存在的充分与必要条件;还给出了微分方程的通解用参数方程形式表达时包络存在的充分与必要条件。本文还提供了若干个有趣而有启发性的例子。
逐段常变量微分方程组概周期型解存在唯一性
逐段常变量 概周期解 伪概周期解
2007/12/13
通过差分方程指数二分法, 我们研究了一类具有变系数逐段常变量微分方程组概周期与伪概周期解的存在唯一性与渐近稳定性, 改进了已有文献的结果,并且得到了差分方程满足指数二分性的一个充分条件.
一类三维微分差分方程组非平凡周期解的存在性
2007/12/12
本文研究了一类三维自治微分差分方程组非平凡周期解的存在性问题并得到了新的结果.本文方法不但适用于滞后系统,而且适用于同时具有超前变元的混合型系统.