Recently, Squire & Hopkins (2017) showed any coupled dust-gas mixture is subject to a class of linear “resonant drag instabilities” (RDI). These can drive large dust-to-gas ratio fluctuations even at arbitrarily small dust-to-gas mass ratios μ. Here, we explore the RDI in the simple case where the gas satisfies neutral hydrodynamics and supports acoustic waves (ω2 = cs k 2). The gas and dust ar...

We introduce a new model for simulating natural phenomena. We address several issues: topology, basic set properties like injectivity and surjectivity, reversibility, and decidability questions about a special kind of conservation law called grain conservation and ultimate periodicity.

We consider one–parameter families of 2–dimensional vector fields Xμ having in a convenient region R a semistable limit cycle of multiplicity 2m when μ = 0, no limit cycles if μ / 0, and two limit cycles one stable and the other unstable if μ ' 0. We show, analytically for some particular families and numerically for others, that associated to the semistable limit cycle and for positive integer...

The effects of cluster diffusion on the submonolayer island density and island-size distribution are studied for the case of irreversible growth of compact islands on a 2D substrate. In our model we assume instantaneous coalescence of circular islands, while the cluster mobility is assumed to exhibit power-law decay as a function of island size with exponent μ. Results are presented for μ=1/2,1...

4 Caveat Emptor 7 4.1 Lagrangian Wanted . . . . . . . . . . . . . . . . . . . . . . . . 7 4.2 Not Quite a Conservation Law . . . . . . . . . . . . . . . . . . 7 4.3 Inequivalent Lagrangians . . . . . . . . . . . . . . . . . . . . . 7 4.4 Other Conservation Laws . . . . . . . . . . . . . . . . . . . . . 8 4.4.1 Dynamical Conservations Laws . . . . . . . . . . . . . 8 4.4.2 Solitons . . . . . . ....

Abstract. This work presents the development of a flight control law design structure, based on the H∞ and μ synthesis theory. The design criteria includes usual robustness and performance requirements related to parameters uncertainty in the vicinity of the design point. In addition, the conventional mixed sensitivity design scheme is changed to comply with specific requirements of a flight co...

The goal of importance sampling is to estimate the expected value of a given function with respect to a probability measure ν using a random sample of size n drawn from a different probability measure μ. If the two measures μ and ν are nearly singular with respect to each other, which is often the case in practice, the sample size required for accurate estimation is large. In this article it is...

Species-area relationships (SARs) are fundamental to the study of key and high-profile issues in conservation biology and are particularly widely used in establishing the broad patterns of biodiversity that underpin approaches to determining priority areas for biological conservation. Classically, the SAR has been argued in general to conform to a power-law relationship, and this form has been ...

Despite their ambiguous historical record, conservation/development interventions the world over have remained a popular environmental governance tool. One of the latest global ‘trends’ are interventions to establish so-called ‘Transfrontier Conservation Areas’ (TFCAs): large contiguous spaces that are principally aimed at conserving biological diversity across national boundaries. In line with...

Abstract We present a detailed analysis on the possible maximal value of the muon (g− 2)μ ≡ 2aμ within the context of effective SUSY models with R parity conservation. First of all, the mixing among the second and the third family sleptons can contribute at one loop level to the aSUSY μ and τ → μγ simultaneously. One finds that the aSUSY μ can be as large as (10 − 20) × 10−10 for any tan β, imp...