We study by means of numerical simulations the velocity reversal model, a onedimensional mechanical model of heat transport introduced in 1985 by Ianiro and Lebowitz. Our numerical results indicate that this model, which does not conserve momentum, exhibits nevertheless an anomalous Fourier’s law similar to the ones previously observed in momentum-conserving models. This disagrees with what can...

Abstract The Poisson–Boltzmann equation (PBE) is a fundamental implicit solvent continuum model for calculating the electrostatic potential of large ionic solvated biomolecules. However, its numerical solution encounters severe challenges arising from strong singularity and nonlinearity. In (P. Benner, V. Khoromskaia, B. Khoromskij, C. Kweyu, M. Stein, “Regularization Poisson-Boltzmann type equ...

The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investigate its significance in the theory of integrable systems. We illustrate in detail the case of the Toda lattice both in Flaschka and natural coordinates.

We provide a simple method for obtain boundary asymptotics of the Poisson kernel on a domain in R . 0 Introduction Let Ω ⊆ R be a connected open set—called a domain. It is a matter of considerable interest to estimate the size of the Poisson kernel PΩ(x, t) = P (x, t) of Ω. Here, and throughout this paper, x ∈ Ω and t ∈ ∂Ω. In case Ω has a large group of symmetries, then it is often possible to...

In this paper lattice-Boltzmann equation method is used to simulate non-Darcy flow in porous media. 2-D in-line and staggered arrangements of uniform cylinders have been considered. The results of a comprehensive computational evaluation are reported: the range of validity of Darcy-Forchheimer equation is investigated and correlations for macroscopic transport properties are presented (i. e., f...

It is well known that Poisson binomial distribution can be approximated by Poisson distribution. In this paper, we give a nonuniform bound of this approximation by using Stein-Chen method.

We show how the singularities are propagated for the (spatially homogeneous) Boltzmann equation (with the usual angular cutoo of Grad) in the context of the small solutions rst introduced by Kaniel and Shinbrot.

The concept of differential-geometric Poisson brackets (DGPB) was introduced in [i] in connection with an investigation of the properties of Poisson brackets of hydrodynamic type [2] and their generalizations. Recall that homogeneous DGPBs of m-th order on a phase space of fields u i @),i = i ..... N,x ~ ~ (in this note we confine attention to the spatially onedimensional case), taking values i...

Consider several independent Poisson point processes on Rd, each with a different colour and perhaps a different intensity, and suppose we are given a set of allowed family types, each of which is a multiset of colours such as red-blue or red-red-green. We study translation-invariant schemes for partitioning the points into families of allowed types. This generalizes the 1-colour and 2-colour m...