The stability of a one-spike solution to a general class of reaction-diffusion (RD) system with both regular and anomalous diffusion is analyzed. The method of matched asymptotic expansions is used to construct a one-spike equilibrium solution and to derive a nonlocal eigenvalue problem (NLEP) that determines the stability of this solution on an O(1) time-scale. For a particular sub-class of th...

in this work, the thermal reaction of aluminum (al) and nickel oxide (nio) was investigated by molecular dynamics simulations. some effective features of reaction such as reaction temperature, the reaction mechanism, and diffusion rate of oxygen into aluminum structure were studied. reaxff force field was performed to study the al/nio thermite reaction behavior at five different temperatures (5...

Adsorption is a chemical method for water purification. In the present study, native and impregnated active carbon was used for adsorption to evaluate the efficacy of the process in manganese removal from aqueous solutions. Impregnation reaction was performed using the precipitate colloids of manganese oxides onto the carbon surface. X-ray diffraction, Fourier-transform infrared spectroscopy, a...

The dynamics of a simple prey-predator system is described by a system of two reaction- diffusion equations with biologically reasonable non-linearities (logistic growth of the prey, Holling type II functional response of the predator). We show that, when the local kinetics of the system is oscillatory, for a wide class of initial conditions the evolution of the system leads to the formation of...

In this work, the thermal reaction of aluminum (Al) and nickel oxide (NiO) was investigated by molecular dynamics simulations. Some effective features of reaction such as reaction temperature, the reaction mechanism, and diffusion rate of oxygen into aluminum structure were studied. ReaxFF force field was performed to study the Al/NiO thermite reaction behavior at five different temperatures (5...

Two important classes of spatio-temporal patterns, namely, spatiotemporal chaos and self-replicating patterns, for a representative three variable autocatalytic reaction mechanism coupled with diffusion has been studied. The characterization of these patterns has been carried out in terms of Lyapunov exponents and dimension density. The results show a linear scaling as a function of sub-system ...

 In this paper, a novel ternary nanocomposite namely reduced graphene oxide/hydroxyapatite/silver (rGO/HAP/Ag) was prepared by a simple hydrothermal method using graphene oxide nanosheets, Ca(NO3)2, (NH4)2HPO4, and AgNO3 as starting materials. The as-prepared nanocomposite was characterized by using various photophysical techniqu...