Concept

Reaction–diffusion system

Related publications (89)

Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion

This paper is concerned with the study of pattern formation for an inhomogeneous Brusselator model with cross-diffusion, modeling an autocatalytic chemical reaction taking place in a three-dimensional domain. For the spatial discretization of the problem w ...

Elsevier2014

Invariant Relationships for Heterogeneous Chemical Reaction Systems in Open Reactors

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan

Many chemical and biochemical industries utilize chemical reaction processes to get desired products from raw materials. Common examples include reaction systems used to manufacture pharmaceutical drugs, vaccines and other chemicals. A chemical reaction sy ...

2014

Numerical methods for nonlinear reaction-diffusion equations with traveling wave solutions

Antoine Giovanni Imboden

In this report, we first introduce operator splitting as a way to solve nonlinear reaction-diffusion PDEs. We then present a flux-limiting technique for anisotropic diffusion problems that allows to recover the discrete maximum principle. Finally, we imple ...

2014

Smart Morphable Surfaces for Aerodynamic Drag Control

Pedro Miguel Nunes Pereira de Almeida Reis

Smart Morphable Surfaces enable switchable and tunable aerodynamic drag reduction of bluff bodies. Their topography, resembling the morphology of golf balls, can be custom-generated through a wrinkling instability on a curved surface. Pneumatic actuation o ...

Wiley-Blackwell2014

Mathematical analysis and numerical simulation of pattern formation under cross-diffusion

Ricardo Esteban Ruiz Baier

Cross-diffusion driven instabilities have gained a considerable attention in the field of population dynamics, mainly due to their ability to predict some important features in the study of spatial distribution of species in ecological systems. This paper ...

Pergamon-Elsevier Science Ltd2013

Local discontinuous Galerkin methods for fractional diffusion equations

Jan Sickmann Hesthaven

We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic ap ...

EDP Sciences2013

Analysis of Fluid-Fluid Reaction Systems with Reactions in Both Phases

Adrien Calabria

Developing mathematical models for chemical reaction systems is essential for analysis, development, design, optimization and control of chemical, or biochemical industrial processes. Nowadays, more and more companies across the world have to deal with inn ...

2013

Tailoring Bimetallic Alloy Surface Properties by Kinetic Control of Self-Diffusion Processes at the Nanoscale

Alfonso Baldereschi, Michele Rizzi

Achieving control of the nanoscale structure of binary alloys is of paramount importance for the design of novel materials with specific properties, leading to, for example, improved reaction rates and selectivity in catalysis, tailored magnetic behavior i ...

Amer Chemical Soc2012

Fractional Brownian motion and anomalous diffusion in vibrated granular materials

Daniele Mari, Gérard Gremaud, Alessandro Luigi Sellerio

We propose a new approach to the study of diffusion dynamics in vibrated granular systems. The dynamic of a granular material is mainly defined by dry friction interactions. This type of interaction is difficult to model for a large quantity of particles. ...

2012

Neuronal Fiber--tracking via optimal mass transportation

Alessandro Daducci

Diffusion Magnetic Resonance Imaging (MRI) is a powerful non-invasively method pro- ducing images of biological tissues exploiting the water molecules diffusion into the living tissues under a magnetic field. In the last decade, diffusion MRI data have bee ...

World Scientific Publishing2012

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