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Modeling the advection-diffusion-reaction equation and its application in a power plantModelagem da equação de advecção-difusão-reação e aplicação em uma usina termelétrica
(Universidade Federal de Santa Maria, 2020)
Dynamics in dumbbell domains I. Continuity of the set of equilibria
(Elsevier B.V., 2006-12-15)
We analyze the dynamics of a reaction-diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show ...
Dynamics in dumbbell domains I. Continuity of the set of equilibria
(Elsevier B.V., 2006-12-15)
We analyze the dynamics of a reaction-diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show ...
Spatial dynamics of a population with stage-dependent diffusion
(Elsevier B.V., 2015-05-01)
We explore the spatial dynamics of a population whose individuals go through life stages with very different dispersal capacities. We model it through a system of partial differential equations of the reaction-diffusion ...
Stability of non-monotone and backward waves for delay non-local reaction-diffusion equations
(Discrete and Continuous Dynamical Systems, 2020)
Stability of non-monotone and backward waves for delay non-local reaction-diffusion equations
(Discrete and Continuous Dynamical Systems, 2020)
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
(2021)
We analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes in the medium. We ...
Stability analysis for a new model of multi-species convection-diffusion-reaction in poroelastic tissue
(2020)
We perform the linear stability analysis of a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and ...
Dynamics in dumbbell domains I. Continuity of the set of equilibria
(Elsevier B.V., 2014)
Symmetry analysis of an integrable reaction-diffusion equation
(Elsevier B.V., 2001-03-01)
In this paper, we investigate the invariance and integrability properties of an integrable two-component reaction-diffusion equation. We perform Painleve analysis for both the reaction-diffusion equation modelled by a ...