On Homogenization Of Elliptic Equations With Random Coefficients In this paper, we investigate the rate of convergence of the solution $u_\\\varepsilon$ of the random elliptic partial difference equation $(abla^{\\\var... JG Conlon,A Naddaf - 《Electronic Journal of Probability》 被引量: 84...
When a corollary of this theorem is applied to Maxwell's equations, the retarded electric and magnetic fields are directly obtained. The proof of the theorem relies on a novel demonstration of the uniqueness of the solutions of the vector wave equation.European journal of physics: A journal of...
Explore what Maxwell's equations are by seeing them explained. Learn who James Maxwell was, how his equations are used, and review examples of an equation. Updated: 11/21/2023 Table of Contents What are Maxwell's Equations? Maxwell's Equations Explained Maxwell Equations Applications and ...
A straightforward application of the previously designed lacunae-based numerical methods to unsteady electromagnetic problems would encounter certain difficulties, as it may violate the continuity of the charges and currents, which is a necessary solvability condition for the Maxwell equations. In the pape...
An analog of Noether''s theorem is then derived for the same integral. Using the derived Euler-Lagrange equations, a Lagrangian density is constructed which yields the single speed, one dimensional transport equation and its adjoint. The Lagrangian density is found to be invariant under a gauge ...
scattering field Ej from the j-th volume elemen t in the particle which in turn is given as a solu- tion of Maxwell equation of radiation of electro- magnetic wave from oscillating dipole,4' 5 Es=L: Ej j Ej=(k02/R)(Mr0) exp (ih·rj) ( 2) where R is the distance between the...
Application of vector parabolic equation method to urban radiowave propagation problems The vector parabolic equation method is applied to the modelling of radiowave propagation in the urban environment. As a paraxial version of Maxwell's equa... Zaporozhets, A.A. - 《Iee Proceedings Part H》 ...
Although the Arrhenius equation has been widely and successfully applied to innumerable solid state reactions, this use lacks a theoretical justification because the energy distribution amongst the immobilized constituents of a crystalline reactant is not represented by the Maxwell-Boltzmann equation. The ...
strongly nonlinear magneto-hydrodynamic (MHD) flow of a fourth grade fluid through a circular pipe. In this method, a homotopy is constructed for the equation. The initial approximations can be freely chosen with possible unknown constants which can be ...
An analog of the radiation condition is found for anhyperbolic equation. When this condition holds, the uniqueness theorem for a&z&u)-&(p8,u) + Au = f is valid. Here n, p, and A are some linear operators depending on t and Y. For example, Eq. 0 u = &(uoo(t, X) 8,~)-...