In particular, we examine the impact of network expansion on the generalized volume of bus power injections feasible under line flow.
Cross-section areas of pipes are design variables and the objective of the optimization is to minimize a measure, which in special cases represents dissipation or pressure drop, subject to a constraint on the available (generalized) volume.
Recently, using the Ricci curvature condition, and the distortion τ instead of S-curvature, Wu [4] and Zhao and Shen [5] further generalized volume comparison theorems in [2] and [3], respectively.
In [9], for the case of (D(U =(U+1)^{p}), (pgeq0), Zheng et al. studied the global boundedness and finite-time blow-up of solutions for a chemotaxis system with generalized volume-filling effect and logistic source (f(U =lambda U-mu U^{k}), with (lambdageq0), (mu>0) and (k>1).
This paper presents a generalized finite volume CHX model that is capable of simulating single-phase and two-phase flow with a smooth or fluted inner tube.
The majority of studies do not support the idea of generalized brain volume changes in mood disorders; rather, they suggest a more regional distribution.
In this paper, the optimal contact shape is studied by formulating several classes of shape optimization problems, namely minimization of generalized wear volume rate, friction dissipation power and wear dissipation rate occurring in two bodies.
Newer research show that while the species' brain was more complex than that of more primitive theropods, it had a more generalized brain volume among maniraptoran dinosaurs, even smaller than that of other non-avian dinosaurs in several instances, which indicates the neurological capabilities required of flight was already a common trait in the maniraptoran clade.
A CT scan showed right temporoparietal region postcraniotomy and generalized brain volume loss with dilatation of sylvian fissures, cerebral sulci, and ventricles, consistent with damage following a past cerebrovascular accident (CVA).
A generalized, finite volume-based SOFC model is presented which includes charge, mass and heat transport as well as a Langmuir Hinshelwood type applied kinetic model for steam reforming reactions.
A generalized free-volume model is derived to account for diffusion-controlled reactions (e.g., termination, propagation, and chemical initiation).
