搜索结果: 46-60 共查到“知识库 偏微分方程其他学科”相关记录66条 . 查询时间(4.887 秒)
The Stark effect on $H_2^+$-like molecules
Stark effect $H_2^+$-like molecules
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2010/12/10
We consider the vibrational energy levels of the first two electronic states of the molecule ion H+ 2 . The Born-Oppenheimer method applied to the case of the Stark effect on a H+
2 -like molecule gi...
The Null Condition and Global Existence for Nonlinear Wave Equations on Slowly Rotating Kerr Spacetimes
Null Condition Global Existence Nonlinear Wave Equations Rotating Kerr Spacetimes
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2010/12/16
We study a semilinear equation with derivatives satisfying a null condition on slowly rotating Kerr spacetimes. We prove that given sufficiently small initial data, the solution exists globally in tim...
Algebraic characterization of simple closed curves via Turaev's cobracket
surfaces conjugacy classes Lie algebras intersection number
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2010/12/6
The vector space V generated by the conjugacy classes in the funda-mental group of an orientable surface has a natural Lie cobracket : V −→ V × V.For negatively curved surfaces, can be compu...
Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain
Lower bound lifespan of solutions semilinear wave equations
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2010/11/30
We consider the Cauchy-Dirichlet problem for semilinear wave equations in a three space dimensional domain exterior to a bounded and non-trapping obstacle. We obtain a detailed estimate for the lower ...
Exotic Heat PDE's.II
Integral bordisms in PDE’s Existence of local and global solutions in PDE’s Conservation laws
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2010/11/30
Exotic heat equations that allow to prove the Poincar´e conjecture and its generalizations to any dimension are considered. The methodology used is the PDE’s algebraic topology, introduced by A....
A note on Schrödinger equation with linear potential and hitting times
Schrö dinger equation linear potential hitting times
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2010/11/29
In this note we derive a solution to the Schr¨odingertype backward equation which satisfies a necessary boundary condition used in hitting-time problems [as described in Hern´andezdel-
Valle (2...
Singular solutions to the heat equations with nonlinear absorption and Hardy potentials
Singular solutions heat equations nonlinear absorption Hardy potentials
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2010/12/10
We study the existence and nonexistence of singular solutions to the equation ut−u−
|x|2 u + |x| u|u|p−1 = 0, p > 1, in RN × [0,∞), N ≥ 3, with a singularity at the point
(0, 0)...
Vanishing Viscosity Limit for Isentropic Navier-Stokes Equations with Density-dependent Viscosity
compressible Navier-Stokes compressible Euler equations
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2010/12/9
In this paper, we study the vanishing viscosity limit of one-dimensional isentropic compressible Navier-Stokes equations with density-dependent viscosity, to the isen-tropic compressible Euler equatio...
Accelerating solutions in integro-differential equations
integro-differential equation slowly decaying kernel accelerating fronts
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2010/12/15
In this paper, we study the spreading properties of the solutions of an integro-differential
equation of the form ut = J ∗u−u+f(u). We focus on equations with slowly decaying dispersal
k...
1/f noise from nonlinear stochastic differential equations
1/f noise nonlinear stochastic differential equations
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2010/4/2
We consider a class of nonlinear stochastic differential equations, giving the power-law behavior of the power spectral density in any desirably wide range of frequency. Such equations were obtained s...
Integrable hyperbolic equations of sin-Gordon type
Integrable hyperbolic equations sin-Gordon type
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2010/4/7
A complete list of nonlinear one-field hyperbolic equations having generalized integrable x- and y-symmetries of the third order is presented. The list includes both sin-Gordon type equations and equa...
求解奇异线性方程组的双逐次投影法
双逐次投影法 奇异线性方程组 内积 对称半正定矩阵
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2009/11/9
用双逐次投影迭代法来求解奇异线性方程组，当线性方程组的系数矩阵是对称半正定时，给出了不同情形时有关参量的选取以及相应的算法，并就收敛结果分别与雅可比迭代法和Gauss-Seidel迭代法进行了比较，数值结果表明，该方法对求解奇异线性方程组是很有效的．
随机微分方程的样本Lyapunov指数估计
Lyapunov 样本 随机微分方程
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2009/11/4
研究了d-维随机微分方程的解的样本Lyapunov 指数，用局部单调条件取代整体单调条件，使用截断函数和It ˆ o ’s 公式及一些特殊不等式得到了解的样本Lyapunov 指数．
一阶中立型时滞微分方程的振动性
时滞微分方程 中立型
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2009/11/2
研究了具有正负系数的一阶中立型时滞微分方程[x(t)-px(t-τ)]+qx(t-σ)-rx(t-ρ)=0 ，其中p∈(0,1) ，利用适当的特征方程和不等式，建立了解的新振动准则．