Search results for "SCALAR"
showing 10 items of 1002 documents
Existence of a traveling wave solution in a free interface problem with fractional order kinetics
2021
Abstract In this paper we consider a system of two reaction-diffusion equations that models diffusional-thermal combustion with stepwise ignition-temperature kinetics and fractional reaction order 0 α 1 . We turn the free interface problem into a scalar free boundary problem coupled with an integral equation. The main intermediary step is to reduce the scalar problem to the study of a non-Lipschitz vector field in dimension 2. The latter is treated by qualitative topological methods based on the Poincare-Bendixson Theorem. The phase portrait is determined and the existence of a stable manifold at the origin is proved. A significant result is that the settling time to reach the origin is fin…
Architetture di Culotta e Leone nel centro storico di Cefalù: piano, progetto e attuazione
2016
Per gran parte del Novecento gli interventi architettonici nei contesti storici sono stati ricondotti entro i poli della conservazione e trasformazione. In Italia gli anni Ottanta hanno segnato una tappa decisiva nel percorso teorico, metodologico e operativo verso l’approccio richiesto dalle attuali e futuribili condizioni delle aree urbane di antico impianto: guidato da strategie a lungo termine; più responsabile; multiscalare e includente l’intera città contemporanea. L’esperienza di Culotta e Leone nel centro storico di Cefalù, pur costituendo un unicum per il loro ancoramento alla realtà sociale del luogo, fornisce un interessante esempio di continuità tra piano, progetto e attuaz…
On the simulation of stirred tank reactors via computational fluid dynamics
2000
Abstract Predictions of flow fields in a stirred tank reactor, obtained by computational fluid dynamics, were used for the simulation of a mixing sensitive process consisting of two parallel reactions competing for a common reagent: A + B → Prod .1 A + C → Prod .2. Experimental data were obtained for A = OH − , B = 1 2 Cu ++ and C=ethyl-chloroacetate. For this reaction scheme the final selectivity of the process, easily measured by a simple colorimetric analysis of the residual Cu++, was found to depend on agitation speed and therefore on the mixing history during the batch process. The flow field-based three-dimensional simulations performed here led to predictions that compared very well …
CFD prediction of scalar transport in thin channels for reverse electrodialysis
2014
Reverse ElectroDialysis (RED) is a very promising technology allowing the electrochemical potential difference of a salinity gradient to be directly converted into electric energy. The fluid dynamics optimization of the thin channels used in RED is still an open problem. The present preliminary work focuses on the Computational Fluid Dynamics (CFD) simulation of the flow and concentration fields in these channels. In particular three different configurations were investigated: a channel unprovided with a spacer (empty channel) and two channels filled with spacers, one made of overlapped filaments the other of woven filaments. The transport of two passive scalars, representative of the ions …
Social media e turismo, dinamiche transcalari
2020
Il contributo mira a descrivere quali dinamiche i social media attivino nella promozione di una destinazione turistica. Abbiamo analizzato gli insight della fan page di Facebook di Menfi, una destinazione turistica emergente situata a sud della cosiddetta Valle del Belice, in Sicilia. L'analisi delle interazioni mostra come sulla stessa piattaforma, a seconda del contenuto in discussione, si attivino conversazioni che coinvolgono comunità diverse che abbracciano dalla dimensione locale a quella internazionale. La promozione del territorio per il tramite dei social media rappresenta allora davvero una manifestazione delle prospettive di glocalizzazione e un importante strumento competitivo, …
The second Weyl coefficient for a first-order system
2020
For a scalar elliptic self-adjoint operator on a compact manifold without boundary we have two-term asymptotics for the number of eigenvalues between 0 and λ when λ → ∞, under an additional dynamical condition. (See [3, Theorem 3.5] for an early result in this direction.) In the case of an elliptic system of first order, the existence of two-term asymptotics was also established quite early and as in the scalar case Fourier integral operators have been the crucial tool. The complete computation of the coefficient of the second term was obtained only in the 2013 paper [2]. In the present paper we simplify that calculation. The main observation is that with the existence of two-term asymptoti…
Some efficient algorithms for the solution of a single nonlinear equation
1981
High order methods for the numerical solution of nonlinear scalar equations are proposed which are more efficient than known procedures, and a unified approach to various methods suggested in literature is given.
Localization in a QFT Model
2006
Localization properties of a QFT model, consisting of a quantum scalar field interacting linearly with a classical localized source, are investigated using various approaches present in the literature. We evaluate, to any order of the field–matter coupling constant, the time evolution of average values of one-point localization observables and scalar product between the quantum field state of the evolving system and localized states. We show that the appearance of nonlocality can be connected to nonlocal properties of localized states used or to the fact that localization operators do not satisfy the microcausality principle and therefore does not imply the violation of causality.
Complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms
2013
We use the quantum separation of variable (SOV) method to construct the eigenstates of the open XXZ chain with the most general boundary terms. The eigenstates in the inhomogeneous case are constructed in terms of solutions of a system of quadratic equations. This SOV representation permits us to compute scalar products and can be used to calculate form factors and correlation functions.
On almost sure convergence of amarts and martingales without the Radon-Nikodym property
1988
It is shown here that for any Banach spaceE-valued amart (X n) of classB, almost sure convergence off(Xn) tof(X) for eachf in a total subset ofE * implies scalar convergence toX.