In this paper, we study the convergence of time-dependent Euler–Poisson equations to incompressible type Euler equations via the quasi-neutral limit. The local existence of smooth solutions to the limit equations is proved by an iterative scheme. The method of asymptotic expansion and the symmetric hyperbolic property of the systems are used to justify the convergence of the limit.

and Applied Analysis 3 Remark 1.2. In 1.6 ; we easily see that lim q→ 1 F r q t, x 2 ∞ ∑ m 0 −1 m ( m r − 1 m ) e m x t 2e ∞ ∑ m 0 −1 m ( m r − 1 m ) e 2e 1 et r F r t, x . 1.7 From the above, we obtain generating function of the Nörlund Euler numbers of higher order. That is F r t, x 2e 1 et r ∞ ∑ n 0 E r n x t n! . 1.8 Thus, we have lim q→ 1 E r n,q x E r n x . 1.9 cf. 21 . Hence, we have F r...

This article presents a study based on series of numerical experiments. It demonstrates the possibility reducing fluctuations in calculation reactivity using second Bernoulli number approximation Euler-Maclaurin formula. approach requires knowledge first three derivatives, which are implemented progressively. The assumed to occur around an average value neutron density with Gaussian distributio...

The dynamics of one-dimensional detonations predicted by a one-step irreversible Arrhenius kinetic model with the inclusion of mass, momentum, and energy diffusion were investigated. A series of calculations in which activation energy is varied, holding the length scales of diffusion and reaction constant, was performed. As in the inviscid case, as the activation energy increases, the system go...

We will show that any complex minimal surface of general type with c1 = 2χ− 1 having non-trivial 2-torsion divisors, where c 2 1 and χ are the first Chern number and the Euler characteristic of the structure sheaf respectively, has the Euler characteristic χ not exceeding 4. We will also give a complete description for the surfaces of the case χ = 4.