[en] The generalization of the correlations between the moments of the absorbed specific energy and dose of irradiation is given for the case of a twice stochastic Poisson process of particles hitting a target. The degree of these correlation modification is shown to be determined by the value of the correlation time of fluctuations of the irradiation intensity and by the dispersion of fluctuations. (author)

[en] The solution to the Poisson partial differential equation in mathematical physics is obtained by application of Dirac bra-ket vector analysis. (Author)

[en] The flow of chemically reacting gaseous mixture is associated with a variety of phenomena and processes. We study the combined quasineutral and inviscid limit from the flow of chemically reacting gaseous mixture governed by Poisson equation to incompressible Euler equations with the ill-prepared initial data in the unbounded domain ${\mathbb{R}}^2\times <!--\; ??\; -->\mathbb{T}$. Furthermore, the convergence rates are obtained.

[en] A continuous current model of fully-depleted symmetric double-gate (DG) MOSFETs which can reflect a wide range (from intrinsic to heavy doping) of the body doping concentrations was developed based on an approximated analytic potential solution of Poisson's equation. The model was compared with the results of device simulation, and showed very good agreement in all operation regions such as subthreshold, turn-on, linear and saturation

[en] We show the transferability of the recently introduced concept of permeation from the context of finite dissipation in simple metallic interfaces to much more complicated electrochemical interfaces. The phenomenological bridge is formed by the exchange current, which can be measured by either impedance spectroscopy or by cyclic voltammetry. In a proof-of-concept phase field model, Nernst–Planck diffusion and transport of charged species in a potential gradient as the solution of the Poisson equation are considered. It is shown that charges build up on the outer electrode surface in a fashion resembling the electrochemical double layer. (paper)

No abstract available

[en] It is proved that each generalized Mishchenko-Fomenko subalgebra of the Poisson algebra of the Lie algebra gl_n(C) can be lifted to a unique commutative subalgebra of the enveloping algebra

[en] The paper studies a single type critical Markov branching process with infinite variance of the offspring distribution. The process admits also an immigration component at the jump points of an inhomogeneous Poisson process. Depending on the rate of change of the intensity of the Poisson process the asymptotic of the probability for non extinction and proper limit distributions under suitable normalization of the sample paths are obtained.

[en] We construct a symplectic groupoid of triangular bilinear forms and establish a relation with the flag variety. We also study the induced Poisson structure and the centre of the corresponding algebroid

No abstract available