The Redner - Ben-Avraham - Kahng cluster system

We consider a coagulation model first introduced by Redner, Ben-Avraham and Krapivsky in [Redner, Ben-Avraham, Kahng: Kinetics of 'cluster eating', J. Phys. A: Math. Gen., 20 (1987), 1231-1238], the main feature of which is that the reaction between a j-cluster and a k-cluster results in the creation of a |j-k|-cluster, and not, as in Smoluchowski's model, of a (j+k)-cluster. In this paper we prove existence and uniqueness of solutions under reasonably general conditions on the coagulation coefficients, and we also establish differenciability properties and continuous dependence of solutions. Some interesting invariance properties are also proved. Finally, we study the long-time behaviour of solutions, and also present a preliminary analysis of their scaling behaviour.Comment: 24 pages. 2 figures. Dedicated to Carlos Rocha and Luis Magalhaes on the occasion of their sixtieth birthday

The Redner - Ben-Avraham - Kahng coagulation system with constant coefficients: the finite dimensional case

We study the behaviour as $t\to\infty$ of solutions $(c_j(t))$ to the Redner--Ben-Avraham--Kahng coagulation system with positive and compactly supported initial data, rigorously proving and slightly extending results originally established in [4] by means of formal arguments.Comment: 13 pages, 1 figur

Aplicação de fungicidas via água de irrigação por aspersão convencional para o controle da brusone (Pyricularia oryzae) em arroz.

Plantas de arroz da cultivar IAC-25 foram inoculadas aos 21 dias de idade com 5x10 conidios de Pyricularia oryzae/ml de suspensao. Parcelas de 12 x 12m foram irrigadas por 4 aspersoes setoriais (ZE-305). Os fungicidas foram aplicados atraves do Aplicador Portatil de Produtos Quimicos. Foram 5 as aplicacoes com intervalos de 7 a 10 dias, e inicio 15 dias apos a inoculacao. A lamina media de agua aplicada foi de 3,0mm. A porcentagem de brusone no "pescoco" da panicula e o peso em gramas de graos em 2000 paniculas foram de 8,1 e 11000; 41,4 e 9477, 84,9 e 7052 para os tratamentos trifenil hidroxido de estanho (750 g ia/ha), IBP (960 IA/HA) e testemunha sem fungicida respectivamente. O aumento de producao das parcelas tratadas com trienil hidroxido de estanho foi de 55,9% em relacao a testemunha. Os resultados mostraram a viabilidade da aplicacao de fungicidas via agua de irrigacao por aspersao convencional visando o controle da brusone em arroz

Co-amorphization of olanzapine and saccharin : a pathway to increase solubility in water

Communication presented at the 12th Annual Symposium, Pharmaceutical Solid State Research Cluster (PSSRC). 12-14 September 2018, Leuven, BelgiumN/

A mathematical study of a bistable nematic liquid crystal device

Electronic version of an article published as Mathematical Models and Methods in Applied Sciences Vol. 17, No. 12 (2007). p. 2009–2034. Article DOI No: 10.1142/S0218202507002546. Copyright World Scientific Publishing Company http://www.worldscientific.com/We consider a model of a bistable nematic liquid crystal device based on the Ericksen– Leslie theory. The resulting mathematical object is a parabolic PDE with nonlinear dynamic boundary conditions. We analyze well-posedness of the problem and global existence of solutions using the theory developed by Amann. Furthermore, using phaseplane methods, we give an exhaustive description of the steady state solutions and hence of the switching capabilities of the device.peerreviewe

Scaling behaviour in a coagulation-annihilation model and Lotka-Volterra competition systems

In a recent paper, Laurencot and van Roessel (2010 J. Phys. A: Math. Theor., 43, 455210) studied the scaling behaviour of solutions to a two-species coagulation–annihilation system with total annihilation and equal strength coagulation, and identified cases where self-similar behaviour occurs, and others where it does not. In this paper, we proceed with the study of this kind of system by assuming that the coagulation rates of the two different species need not be equal. By applying Laplace transform techniques, the problem is transformed into a two-dimensional ordinary differential system that can be transformed into a Lotka–Volterra competition model. The long-time behaviour of solutions to this Lotka–Volterra system helps explain the different cases of existence and nonexistence of similarity behaviour, as well as why, in some cases, the behaviour is nonuniversal, in the sense of being dependent on initial conditions.FPC, JTP e RS foram parcialmente financiados pelo CAMGSD-LARSyS através do financiamento plurianual atribuido pela Fundação para a Ciência e Tecnologia (Portugal

Use of biogenic sulfide for the synthesis of CuS nanocrystals and nanocomposites

During the metabolism of organic matter (CH2O), sulfate-reducing bacteria (SRB) use sulfate as the terminal electron acceptor, resulting in the production of H2S. This biologically generated sulfide, in the presence of metal ions, can be used for metal precipitation (Bhagat et al., 2004). The use of SRB in bioremediation processes, namely, in the reduction of highcontent sulfate and metal effluents, is well documented (Costa and Duarte, 2005; Garcia et al., 2001). Nevertheless, the process generates an excess of sulfide and the elimination of the sulfide in excess and disposal of the metal sulfides produced are also problems that need to be carefully addressed. Copper monosulfide (CuS) has gained considerable attention in material science due to its excellent potential in catalysis (Mallick et al., 2007), optical functionality (Liz-Marzan, 2006) and electronic functionalities (Kamat, 2002)

Unexpected mass in the left atrium

Todo o conteúdo do periódico, exceto onde está identificado, está licenciado sob uma Licença Creative Commons.info:eu-repo/semantics/publishedVersio

A comparison of the Normal and Laplace distributions in the models of fuzzy probability distribution for portfolio selection

The propose of this work is applied the fuzzy Laplace distribution on a possibilistic mean-variance model presented by Li et al which appliehe fuzzy normal distribution. The theorem necessary to introduce the Laplace distribution in the model was demonstrated. It was made an analysis of the behavior of the fuzzy normal and fuzzy Laplace distributions on the portfolio selection with VaR constraint and risk-free investment considering real data. The results showns that were not difference in assets selection and in return rate, however, There was a change in the risk rate, which was higher in the Laplace distribution than in the normal distribution