We study the frictional behavior of both elastic and viscoelastic thin coatings bonded to a seemingly rigid substrate sliding against rough profile in presence Coulomb friction at interface. The aim is explore effect coupling between normal tangential displacement fields arising from finiteness material thickness quantify contribution this can have on energy losses. found that, due normal–tange...

Due to the finite amount of observational data, best-fit parameters corresponding reconstructed cluster mass have uncertainties. In turn, these uncertainties affect inferences made from models. Following our earlier work, we studied effect such on singularity maps in simulated and actual galaxy clusters. The models for both real clusters been constructed using grale. final created grale give si...

We show that there exist asymptotically flat almost-smooth initial data for Einstein-perfect fluid’s equation that represent an isolated liquid-type body. By liquid-type body we mean that the fluid energy density has compact support and takes a strictly positive constant value at its boundary. By almost-smooth we mean that all initial data fields are smooth everywhere on the initial hypersurfac...

Understanding vector fields resulting from large scientific simulations is an important and often difficult task. Integral curves, curves that are tangential to a vector field at each point, are a powerful visualization method in this context. Application of integral curve-based visualization to very large vector field data represents a significant challenge due to the non-local and data-depend...

Motion-sensitive large-field neurons found at higher processing stages in many species often exhibit a remarkable selectivity for particular flow fields. However, the underlying neural mechanisms are not yet understood. We studied this problem in the so-called lobula plate tangential cells (LPTCs) of the fly. Investigating the connectivity between LPTCs by means of dual recordings, we find two ...

We study the Korn-Poincaré inequality: ‖u‖ W1,2(Sh) ≤ Ch‖D(u)‖L2(Sh), in domains S that are shells of small thickness of order h, around an arbitrary smooth and closed hypersurface S in R. By D(u) we denote the symmetric part of the gradient ∇u, and we assume the tangential boundary conditions: u · ~n = 0 on ∂S. We prove that Ch remains uniformly bounded as h → 0, for vector fields u in any fam...

A design procedure is developed for slotted-waveguide antennas with probe-fed slots. Radiation into a gyrotropic, plane-stratified medium is considered, nonzero waveguide wall thickness is assumed, and noncosinusoidal slot fields and arbitrary slot length up to about one free-space wavelength are allowed. External mutual coupling is taken into account by matching the tangential fields at the an...

This paper introduces orthogonal vector field visualization on 2D manifolds: a representation by lines that are perpendicular to the input vector field. Line patterns are generated by line integral convolution (LIC). This visualization is combined with animation based on motion along the vector field. This decoupling of the line direction from the direction of animation allows us to choose the ...

We report high-resolution spectroscopic observations of the NLTE Hα core in 28 DA white dwarfs. From a comparison with theoretically broadened NLTE models projected rotation velocities can be determined. The majority of objects are found to be compatible with zero or very small rotation with typical upper limits for v sin i of 15 km/s, corresponding to periods of hours or longer. The implicatio...

In this paper we present a nonconforming finite element method for solving fourth order curl equations in three dimensions arising from magnetohydrodynamics models. We show that the method has an optimal error estimate for a model problem involving both (∇×)2 and (∇×)4 operators. The element has a very small number of degrees of freedom, and it imposes the inter-element continuity along the tan...