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Workshop Matemática e Física de Aerossóis
Pestana da Costa, Fernando; Silva, Hugo; Correia, Joaquim; Oliveira, Manuela; Sasportes, RafaelHugo Silva: Eletricidade Atmosférica e os Aerossóis. ### Suzete Marques: Caraterização, riscos e danos dos fogos florestais em Portugal. ### Fernando Afonso: Pollen Modelling in Patients with Atopic Respiratory Symptoms in the Alentejo Region. ### Ana Maria Silva: Aerossóis e Clima: investigação do Grupo de Meteorologia e Clima do CGE. ### João Teixeira Pinto: Coagulation-Fragmentation Equations. ### Pedro Serr...
The Redner - Ben-Avraham - Kahng cluster system
Costa, Fernando Pestana da; Pinto, João Teixeira; Sasportes, RafaelWe consider a coagulation model first introduced by Redner, Ben-Avraham and Kahng in [11], 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...
Scaling behaviour in a coagulation-annihilation model and Lotka-Volterra compet...
Costa, Fernando Pestana da; Pinto, João Teixeira; Sasportes, Rafael; Roessel, Henry J. vanIn 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 coag...
Dynamics of a Non-Autonomous ODE System Occurring in Coagulation Theory
Costa, Fernando Pestana da; Sasportes, RafaelWe consider a constant coefficient coagulation equation with Becker–D¨oring type interactions and power law input of monomers J1(t)=αtω, with α > 0 and ω>−1 2 . For this infinite dimensional system we prove solutions converge to similarity profiles as t and j converge to infinity in a similarity way, namely with either j/ς or (j −ς)/√ς constants, where ς =ς(t) is a function of t only. This work generalizes to t...
Dynamical problems in coagulation equations
Sasportes, RafaelTese de Doutoramento em Matemática apresentada à Universidade Aberta ; Neste trabalho são analisados alguns aspectos do comportamento asimptótico dos sistemas de um número infinito de equações diferenciais ordinárias que modelam a cinética de partículas de coagulação dados por $\dot{c}_1 = \alpha t^{\omega} - c_1^2 - c_1 \sum_{j=1}^{\infty} c_j},\dot{c}_j = c_1 c_{j-1} - c_1 c_j, j \geq 2 $, onde $\alpha>0...
Convergence to self-similarity in an addition model with power-like time-depend...
Costa, Fernando Pestana da; Sasportes, Rafael; Pinto, João TeixeiraIn this note we extend the results published in Ref. 1 to a coagulation system with Becker-Doring type interactions and time-dependent input of monomers $J_{1}(t)$ of power–like type: $J_{1}(t)/(\alpha t^{\omega }) \rightarrow 1$ as $t \rightarrow \infty$, with $\alpha > 0$ and $\omega > − \frac{1}{2}$. The general framework of the proof follows Ref. 1 but a different strategy is needed at a number of points.
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