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High-volume, multistage continuous production flow through a re-entrant factory is modeled through a conservation law for a continuous-density variable on a continuous-production line augmented by a state equation for the speed of the production along the production line. The resulting nonlinear, nonlocal hyperbolic conservation law allows fast and accurate(More)
We present a simple iterative scheme to solve numerically a regularized internal wave model describing the large amplitude motion of the interface between two layers of different densities. Compared with the original strongly nonlinear internal wave model of Miy-ata [10] and Choi and Camassa [2], the regularized model adopted here suppresses shear(More)
The number of applications to enable keyword query over graph-structured data are enormously increasing in various application domains like Web, Database, Chemical compounds, Bio-informatics etc. The existing search systems reveal serious performance problem due to their failure to integrate information from multiple connected resources. In this paper, we(More)
The Mathieu partial differential equation (PDE) is analyzed as a prototypical model for pattern formation due to parametric resonance. After averaging and scaling, it is shown to be a perturbed nonlinear Schrödinger equation (NLS). Adiabatic perturbation theory for solitons is applied to determine which solitons of the NLS survive the perturbation due to(More)
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