The dynamic response of the railway under accelerated moving load using Dynamic Green Function is presented in this paper. For this purpose, an exact and direct modeling technique is introduced for the railway modeling as the damped Euler-Bernoulli beam on the partial Winkler foundation with arbitrary boundary conditions subjected to the moving load. The effects of the elastic coefficient of Wi...

We find that laser-induced local melting attracts and deforms grain boundaries in 2D colloidal crystals. When a melted region in contact with the edge of a crystal grain recrystallizes, it deforms the grain boundary-this attraction is driven by the multiplicity of deformed grain boundary configurations. Furthermore, the attraction provides a method to fabricate artificial colloidal crystal grai...

We will give general sufficient conditions under which a controller achieves robust regulation for a boundary control and observation system. Utilizing these conditions we construct a minimal order robust controller for an arbitrary order impedance passive linear port-Hamiltonian system. The theoretical results are illustrated with a numerical example where we implement a controller for a one-d...

This paper presents boundary optimization techniques for the processing of arbitrary-length signals with paraunitary multirate filter banks. The boundary filters are designed to maximize the coding gain while providing an ideal DC behavior. Thus, all filters except the lowpass filter are designed to have zero mean. The proposed methods give direct solutions to the problem of finding optimal bou...

Using a new local smoothing estimate of the first and third authors, we prove local-in-time Strichartz and smoothing estimates without a loss exterior to a large class of polygonal obstacles with arbitrary boundary conditions and global-in-time Strichartz estimates without a loss exterior to a large class of polygonal obstacles with Dirichlet boundary conditions. In addition, we prove a global-...

The analytic structure of the Regge action on a cone in d dimensions over a boundary of arbitrary topology is determined in simplicial minisuperspace. The minisuperspace is defined by the assignment of a single internal edge length to all 1-simplices emanating from the cone vertex, and a single boundary edge length to all 1-simplices lying on the boundary. The Regge action is analyzed in the sp...

A boundary sequence is a good representation of arbitrary shaped regions, but not directly used in computing shape features such as area, centroid, orientation, and so forth. In this paper, we show that the shape features can be easily computed by using cross-sections derived from a boundary sequence. The cross-sections are vertical line segments in the region and can be determined by tracing t...

We investigate the formulation of boundary compensated wavelet transforms supported on a nite interval. A uni ed approach to boundary compensated wavelet transforms is presented which fosters new insights into previous constructions, including both continuous and discrete approaches to the problem. The framework enables the design of boundary-compensated transforms with speci c properties, incl...

Consider a strictly convex bounded regular domain C of R. In this paper we construct complete properly immersed in C minimal surfaces with boundary. Our examples have arbitrary finite topology. We also prove that complete properly immersed in C minimal surfaces with boundary are dense in the space of properly immersed in C minimal surfaces with boundary, endowed with the topology of the Hausdor...

In this paper we propose a new kind of Hermite interpolation on arbitrary domains, matching derivative data of arbitrary order on the boundary. The basic idea stems from an interpretation of mean value interpolation as the pointwise minimization of a radial energy function involving first derivatives of linear polynomials. We generalize this and minimize over derivatives of polynomials of arbit...