We present a study of interface dynamics in two spatial dimensions for a nonrelaxational system that describes the temporal evolution of three competing real fields. This and similar models have been used to obtain insight into problems such as Rayleigh–Bénard convection in a rotating cell or population competition dynamics in predator-key systems. A notable feature is that the nonpotential dyn...

During the advent of active structural acoustic control, attempts were made to target and control structural vibration mode shapes to reduce radiated sound power. In the late eighties and early nineties work on acoustic radiation mode shapes developed an alternative way to target structural acoustic radiation. By attempting to control the radiation mode shapes, contributing structural modes cou...

Abstract The damped wave equation with the attenuation proportional to velocity is ubiquitous in science and engineering a common situation when depends on frequency. usual way incorporate this effect introduce fractional order derivatives either as replacement for u t or modifier through spatial component space derivatives. Models these are very well developed effort paper towards analysis of ...

The weakest known criterion for local rotational symmetry (LRS) in spacetimes of Petrov type D is due to Goode and Wainwright (1986). Here it shown, using methods related the Cartan-Karlhede procedure, be equivalent spatial rotation invariance Riemann tensor its first derivatives. Conformally flat are similarly studied shown that almost all cases same ensures LRS. Only conformally accelerated p...

The goal of this study was to investigate the role of inferred parvocellular (PC) and magnocellular (MC) pathways in spatial contrast sensitivity. Localized, spatially narrow-band patterns (sixth derivatives of Gaussians, D6s) were presented at various peak spatial frequencies. When the D6 appeared on a pulsed luminance pedestal (Pulsed-Pedestal Paradigm), the spatial contrast sensitivity showe...

This paper presents a novel image descriptor called Derivative Variation Pattern (DVP) and its application to face and palmprint recognition. DVP captures image variations in both the frequency and the spatial domains. The effects of uncontrolled illumination are compensated in the frequency domain by discarding the illumination affected frequencies. Image pixels are encoded as binary patterns ...

The robot navigation task presented in this paper is to drive through the center of a corridor, based on a sequence of images from an on-board camera. Our measurements of the system state, the distance to the wall and orientation of the wall, are derived from the optic ow. Whereas the structure of the environment is usually computed from the spatial derivatives of the optic ow, we use the struc...

In this paper, we establish a priori estimates for the three-dimensional compressible Euler equations with moving physical vacuum boundary, the γ-gas law equation of state for γ = 2 and the general initial density ρ0 ∈ H6(Ω). Because of the degeneracy of the initial density, we investigate the estimates of the horizontal spatial and time derivatives and then obtain the estimates of the normal o...

In the given paper, we confront three finite difference approximations to the Navier–Stokes equations for the two-dimensional viscous incomressible fluid flows. Two of these approximations were generated by the computer algebra assisted method proposed based on the finite volume method, numerical integration, and difference elimination. The third approximation was derived by the standard replac...

The growing number of applications of fractional derivatives in various fields of science and engineering indicates that there is a significant demand for better mathematical algorithms for models with real objects and processes. Currently, most algorithms are designed for 1D problems due to the memory effect in fractional derivatives. In this work, the 2D fractional subdiffusion problems are s...