Spatially periodic reaction-diffusion equations typically admit pulsating waves which describe the transition from one steady state to another. Due heterogeneity, in general such an equation is not invariant by rotation and therefore speed of wave may a priori depend on its direction. However, little actually known literature about whether it truly does: surprisingly, even one-dimensional monos...

In this paper we consider the propagation speed in a reaction diffusion system with an anomalous Lévy process diffusion, modeled by nonlocal equation fractional Laplacian and generalized monostable or ignition nonlinearity. Given typical Heaviside initial datum, show that of interface displays algebraic rate behavior time, contrast to known linear classical model Brownian motion exponential KPP...

In this study, the modeling of hydrogen production process in microreactors by methanol-steam reforming reaction is investigated. The catalytic reaction of methanol-steam reforming producing hydrogen is simulated considering a 3D geometry for the microreactor. To calculate diffusion among species, mixture average correlations are compared to Stephan-Maxwell equations. The reactions occurring in...

The theory of reaction-diffusion waves begins in the 1930s with the works in population dynamics, combustion theory and chemical kinetics. At the present time, it is a well developed area of research which includes qualitative properties of travelling waves for the scalar reaction-diffusion equation and for system of equations, complex nonlinear dynamics, numerous applications in physics, chemi...

The purpose of this paper is the construction of invariant regions in which we establish the global existence of solutions for reaction-diffusion systems (three equations) with a tridiagonal matrix of diffusion coefficients and with nonhomogeneous boundary conditions after the work of Kouachi (2004) on the system of reaction diffusion with a full 2-square matrix. Our techniques are based on inv...