In this article we consider the evolution of vortex sheets in the plane both as a weak solution of the two dimensional incompressible Euler equations and as a (weak) solution of the Birkhoff-Rott equations. We begin by discussing the classical Birkhoff-Rott equations with respect to arbitrary parametrizations of the sheet. We introduce a notion of weak solution to the Birkhoff-Rott system, and ...

The Lam and Rott theory of linearized unsteady boundary layers is revisited, and some new results are obtained. The exact outer eigensolution for a flat plate found in the original paper is shown to be a special case of the Prandtl transposition theorem. The streamwise coordinate-dependent factor of the inner eigen-solutions, first found by M. E. Goldstein for the flat plate, is generalized for...

The present paper aims at a synthesis of belief revision theory with the Sneed formalism known as the structuralist theory of science. This synthesis is brought about by a dynamisation of classical structuralism, with an abductive inference rule and base generated revisions in the style of Rott (2001). The formalism of prioritised default logic (PDL) serves as the medium of the synthesis. Why s...

Since the passage of Title IX in 1972, female sports participation has dramatically increased. The benefits of physical activity, including decreased risk for heart disease and diabetes as well as improved body image and self-esteem, far outweigh the risks. However, a select population of adolescent and young adult females may experience symptoms related to the female athlete triad (Triad), whi...

the comparison of arabic literature and persian literature is the comparison between two similar literatures though the impact of persian literature on arabic literature is more profound. hossein mojib almesri, the poet under discussion in this paper has been influenced by persian literature specifically in two areas: symbolism and poetic forms. this paper is an attempt to discuss cultural inte...

We present TRIAD, a new persistent key-value (KV) store based on Log-Structured Merge (LSM) trees. TRIAD improves LSM KV throughput by reducing the write amplification arising in the maintenance of the LSM tree structure. Although occurring in the background, write amplification consumes significant CPU and I/O resources. By reducing write amplification, TRIAD allows these resources to be used ...