Travelling Waves for Gas-Solid Reactions

Travelling Waves for Solid-gas Reaction-diffusion Systems

We study a two-species reaction-diffusion problem described by a system consisting of a semilinear parabolic equation and a first order ordinary differential equation, endowed with suitable conditions. We prove the existing of a unique traveling wave profile and give necessary conditions and sufficient conditions for the occurrence of penetration and conversion fronts.

Gas-Solid Catalytic Reactions

The outline of this chapter is as follows: *.1 will show some application areas together with the number of types of reactors available for carrying out gas-solid catalyzed reactions. Section *.2 will focus on the kinetic models suitable for describing these reactions. Section *.3 will show how to set up the reactor models and will also show the mass transport interactions need to be modeled. T...

a New Approximate Solution Technique (Quantized Method) for Simultaneous Gas Solid Reactions

Simultaneous reactions between solids and gases are very important in the chemical and metallurgical processes. In the modeling, the chemical reaction and diffusion of gases must be considered. Therefore, a set of coupled partial differential equations is found. When the kinetic is a function of solid concentration, there is not any analytical solution for these equations. Therefore, numerical ...

Synaptic travelling waves

An important goal of neuroscience is to establish a series of direct links between the abstract nature of biophysical model equations and their interpretation in terms of experimental findings in biological neural networks. I propose to address this issue by developing a novel mathematical analysis of the dynamics of synaptically interacting neural systems and by establishing a framework for co...

Stability of Travelling Waves