frequencies. As is well known, the stability properties of some fundamental periodic solutions of these systems is often an … the stability properties of some of their simplest periodic solutions analytically as well as numerically. To accomplish … technique of multiple scaling to perform the stability analysis. A three-particle system with free–free boundary conditions is …

-extinction periodic solution and permanence of the system, and obtain the threshold conditions. The results provide a dependable …

The analytic treatment of the non-inertial rotational diffusion equation, i.e., of Smoluchowski’s one (SE), in a …

includes the simultaneous presence of contaminants in the gas phase, CO desorption, CO diffusion, and strong repulsion between … rate is greatly reduced, but this effect is mitigated by CO desorption and diffusion. CO desorption has the effect of … widening the reactive pressure window, while CO diffusion has the effect of increasing the reaction rate. In some parameter …

Diffusion in heterogeneous media (i.e., layers with discontinuous values of the diffusivity parameter) is found in … Brownian particles run preferentially along the direction of decreasing diffusivity. An uphill diffusion effect is found when …

equation is reformulated in order to account correctly for the chemical process. The expression for the diffusion coefficient … a model of reactive hard spheres. The rate coefficients in the reaction–diffusion equation are modified due to … nonequilibrium effect for the diffusion, though not so drastic, is also very significant. …

diffusion coefficient are found to have a non-monotonic dependence on the quenched noise strength. These non-trivial results are …

diffusion equation with a stochastic porosity. To perform an explicit analysis we model the porosity by a telegraph process … the original diffusion equation by an additional time-diffusive term (with time-delay in the full general situation). …

A binary system in which the diffusion flux has a nonvanishing relaxation time is considered. We study the spectra of … fluctuations of the solute density and the solute diffusion flux. The role of the diffusion flux is analyzed in two descriptions …. First, the shortest observable time interval is shorter than the flux relaxation time, and the diffusion flux behaves as …