GDP growth project

Study examines the economic structure and dynamics of the East Midlands and Yorkshire and Humber regions of the UK, using the logic of firm and labour agglomerations and their contribution to GDP as the basis for the analysis

Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation

In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation. In particular, we derive sufficient conditions for such a solution to be orbitally stable in terms of the Hessian of the classical action of the corresponding traveling wave ordinary differential equation restricted to the manifold of periodic traveling wave solution. We show this condition is equivalent to the solution being spectrally stable with respect to perturbations of the same period in the case of the Korteweg-de Vries equation, and in neighborhoods of the homoclinic and equilibrium solutions in the case of a power-law nonlinearity.Comment: 24 page

Laser velocimeter measurements of high-speed compressible flows

Laser velocimeter results were compared and found to be consistent with those obtained with conventional measurement techniques and existing compressible boundary layer theory. Turbulence information at supersonic speed has been successfully obtained in compressible boundary layer with laser system

Hacking Digital Video Recorders: Potential Copyright Liability for DVR Hackers and Service Providers

To what extent does Sony\u27s time-shifting fair use argument extend to recent innovations that make it easier for hackers use DVR technology to generate copies of protected material? The author assesses the potential liability of DVR manufacturers against the backdrop of traditional fair use doctrines