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Full-Text Articles in Physical Sciences and Mathematics
Approximate Techniques For Dispersive Shock Waves In Nonlinear Media, Timothy R. Marchant, Noel F. Smyth
Approximate Techniques For Dispersive Shock Waves In Nonlinear Media, Timothy R. Marchant, Noel F. Smyth
Tim Marchant
Many optical and other nonlinear media are governed by dispersive, or diffractive, wave equations, for which initial jump discontinuities are resolved into a dispersive shock wave. The dispersive shock wave smooths the initial discontinuity and is a modulated wavetrain consisting of solitary waves at its leading edge and linear waves at its trailing edge. For integrable equations the dispersive shock wave solution can be found using Whitham modulation theory. For nonlinear wave equations which are hyperbolic outside the dispersive shock region, the amplitudes of the solitary waves at the leading edge and the linear waves at the trailing edge of …
Solitary Waves And Their Stability In Colloidal Media: Semi-Analytical Solutions, Timothy R. Marchant, N F. Smyth
Solitary Waves And Their Stability In Colloidal Media: Semi-Analytical Solutions, Timothy R. Marchant, N F. Smyth
Tim Marchant
Spatial solitary waves in colloidal suspensions of spherical dielectric nanopartides are considered. The interaction of the nanoparticles is modelled as a hard-sphere gas, with the Carnahan-Starling formula used for the gas compressibility. Semi-analytical solutions, for both one and two spatial dimensions, arc derived using an averaged Lagrangian and suitable trial functions for the solitary waves. Power versus propagation constant curves and neutral stability curves are obtained for both cases, which illustrate that multiple solution branches occur for both the one and two dimensional geometries. For the one-dimensional case it is found that three solution branches (with a bistable regime) occur. …
Blogging Developer Knowledge: Motivations, Challenges, And Future Directions, Chris Parnin, Christoph Treude, Margaret-Anne Storey
Blogging Developer Knowledge: Motivations, Challenges, And Future Directions, Chris Parnin, Christoph Treude, Margaret-Anne Storey
Research Collection School Of Computing and Information Systems
Why do software developers place so much effort into writing public blog posts about their knowledge, experiences, and opinions on software development? What are the benefits, problems, and tools needed-what can the research community do to help? In this paper, we describe a research agenda aimed at understanding the motivations and issues of software development blogging. We interviewed developers as well as mined and analyzed their blog posts. For this initial study, we selected developers from various backgrounds: IDE plugin development, mobile development, and web development. We found that developers used blogging for a variety of functions such as documentation, …