4) Euler equation Euler方程 1. Euler equationof weakly harmonic maps from high dimension Riemann manifold to homogeneous space; 高维Riemann流形到齐次空间弱调和映射的Euler方程 2. Solving theEuler equations by wavelet interpolation; 用小波插值方法解Euler方程 ...
Summary The Euler-Poisson-Darboux (EPD) equation is a variant of the linear wave equation with a damping term that is a function of t. Numerous applications of the EPD equation have been reported, such as sound wave propagation. This chapter focuses on the spline collocation method of lines ...
quantum Euler-Poisson equation; energy estimate; stationary so-lutionsCLC number: O 175. 2Document code: AArticle ID: 1000- 5137( 2013) 06- 0551- 14Received date: 2013- 09- 26Foundation item: Supported by the National Science Foundation of China ( 11171223) and the Innovation Program ofShan...
In this paper, we consider the long wavelength limit for the quantumEuler-Poisson equation. Under the Gardner-Morikawa transform, we derive thequantum Korteweg-de Vries (KdV) equation by a singular perturbation method. Weshow that the KdV dynamics can be seen at time interval of order$O(\\...
In this paper, we construct a solution to the Riemann problem for an inhomogeneous non-strictly hyperbolic system of two equations, which is a corollary of the Euler–Poisson equations without pressure [5]. These equations can be considered for cases of attractive and repulsive forces as well as...
The scaled solutions are shown to converge to the solution of a generalized drift-diffusion equation as the relaxation tends to zero. Equivalent forms of the system are used in the proofs. This is a preview of subscription content, log in via an institution to check access. Similar content ...
In this paper, we consider the Euler–Poisson equations governing the evolution of the gaseous stars with the Poisson equation describing the energy potential for the self-gravitating force. By assuming that the initial density is of compact support in R N, we first give a family of blowup so...
In this paper, we consider a one-dimensional Euler-Maxwell system with initial data whose behaviors at far fields x →±∞ are different. Inspired by the relationship between Euler-Maxwell and Euler-Poisson, we can prove that the onedimensional Euler-Maxwell equation behaves time asymptotically to...
{equation} H_{0}=\int_{0}^{R}r^{n}V_{0}dr>0 \end{equation} where an arbitrary constant $n>0$, blow up on or before the finite time $T=2R^{n+2}/(n(n+1)H_{0})$ for pressureless fluids or $\gamma>1.$ The results obtained here fully cover the previous known case ...
含参数λ的Euler型微分方程的求解公式 17. The Euler Solution of Ordinary Differential Equation and the Realization in Computer; 常微分方程的Euler解法及其计算机实现 18. The Design of Non-collocated Controller and Stability Analysis of Euler-Bernoulli Beam Euler-Bernoulli梁异位控制器设计及稳定性分析©...