We use theorems of N. Karpenko about the incompressibility of Severi Brauer varieties and quadratic Weil transfers of Severi Brauer varieties to compute the minimal number of parameters needed to define conjugacy classes of involutions of given type on division algebras of 2-primary index. Similarly we compute the minimal number of parameters needed to define conjugacy classes of étale subalgeb...

This work provides a generalization of Evans' homogeneous nonequilibrium method for estimating thermal conductivity to molecular systems that are described by general multibody potentials. A perturbed form of the usual Nose-Hoover equations of motion is formally constructed and is shown to satisfy the requirements of Evans' original method. These include adiabatic incompressibility of phase spa...

In this article, we describe some approaches to the eecient numerical computation of viscous incompressible ows governed by the Navier-Stokes equations. We concentrate on laminar ows, stationary as well as nonstationary, for Reynolds numbers of moderate size, and in general domains. The emphasis is on spatial discretization by the nite element method. We discuss the treatment of the incompressi...

The current status of the isoscalar giant dipole resonance (ISGDR) is reviewed. Over the past few years, experiments done with small-angle alpha scattering have provided the best evidence yet for this resonance and the experimental ISGDR strength distributions are reasonably well established in a number of nuclei. The implications of the experimental observations on the determination of the nuc...

are called stationary Stokes equations, where u : Ω→ R denotes the velocity of the uid, p : Ω→ R denotes the pressure and f : Ω → R is the density of forces acting on the uid (e.g. gravitational force). The Stokes equations govern a ow of a steady, viscous, incompresible uid. We note that (1) is called the momentum equation and (2) is called the incompressibility equation. We supplement the sys...

Applying the Morse theory, we give a standard form for class of surfaces which includes all properly embedded incompressible in 3-dimensional handlebodies. We also necessary and sufficient condition to determine incompressibility such placed our form. Our algorithm is practical. Several examples are given test algorithm.

This article considers the influence of incompressibility on compliance and stiffness constants that appear in weakly nonlinear theory elasticity. The formulation first constraint applied to compliances, which gives explicit finite limits for second-, third-, fourth-order constants. stiffness/compliance relationships each order are derived used determine incompressible behavior Unlike compressi...

This work presents a stabilized formulation for phase-field fracture of hyperelastic materials near the limit incompressibility. At this limit, traditional mixed displacement and pressure formulations must satisfy inf-sup condition solution stability. The coupled with damage field can lead to an inhibition crack opening as volumetric changes are severely penalized effectively creating pressure-...

We investigate a class of locally conformal almost Kähler structures and prove that, under some conditions, this is subclass structures. show that manifold admits canonical foliation whose leaves are hypersurfaces with the mean curvature vector field proportional to Lee field. The geodesibility also characterized, their minimality coincides incompressibility along leaves.

Recently, many results on the computational complexity of sorting algorithms were obtained using Kolmogorov complexity (the incompressibility method). Especially, the usually hard average-case analysis is ammenable to this method. Here we survey such results about Bubblesort, Heapsort, Shellsort, Dobosiewicz-sort, Shakersort, and sorting with stacks and queues in sequential or parallel mode. Es...