Some trigonometrical series, XX

Philips Semiconductors PNX 17 xx Series

Dynamic Systems and Applications xx (200x) xx-xx BLOW-UP IN SOME ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS WITH TIME-DELAY

Blow-up phenomena are analyzed for both the delay-differential equation (DDE) u(t) = B(t)u(t− τ), and the associated parabolic PDE (PDDE) ∂tu = ∆u+B (t)u(t− τ, x), where B : [0, τ ] → R is a positive L function which behaves like 1/ |t− t∗| , for some α ∈ (0, 1) and t∗ ∈ (0, τ). Here B′ represents its distributional derivative. For initial functions satisfying u(t∗ − τ) > 0, blow up takes place...

A note on mixed boundary value problems involving triple trigonometrical series

This study was motivated by the two-dimensional hydrodynamic slamming problem of a steep wave hitting a vertical wall. The fundamental problem considers dual impact on the wall at the lower and upper region resembling the impact of a wave at the time of its breaking. The solution method results into a mixedboundary value problem that involves a triplet of trigonometrical series which, to the au...

Profile XX - 5 Profile XX - 4 Profile XX - 3 Profile XX - 2 Profile XX - 1 Profile XX

A load estimation algorithm based on k-means cluster analysis was developed. The algorithm applies cluster centres – of previously clustered load profiles – and distance functions to estimate missing and future measurements. Canberra, Manhattan, Euclidean, and Pearson correlation distances were investigated. Several case studies were implemented using daily and segmented load profiles of aggreg...

Rr Xx-xx

The growing availability of low-power sensors, microprocessors, and transmitters makes it increasingly attractive to use distributed sensor networks for track-health monitoring. Widespread implementation of these networks will require robust and low-maintenance methods for powering the electronics. This research investigates two principal methods of harvesting mechanical power from passing rail...