Diffusion vs Cross-Diffusion: An Elliptic Approach

Cross-National Diffusion of Mental Health Policy

Background Following the tenets of world polity and innovation diffusion theories, I focus on the coercive and mimetic forces that influence the diffusion of mental health policy across nations. International organizations’ mandates influence government behavior. Dependency on external resources, namely foreign aid, also affects governments’ formulation of national policy. And finally, mounting...

Flow Over an Exponentially Stretching Porous Sheet with Cross-diffusion Effects and Convective Thermal Conditions

This article investigates the influence of cross-diffusion on the viscous fluid flow over a porous sheet stretching exponentially by applying the convective thermal conditions. Velocity slip at the boundary is considered. The numerical solutions to the governing equations are evaluated using successive linearisation procedure and Chebyshev collocation method. It is observed from this study that...

cross-national diffusion of mental health policy

background following the tenets of world polity and innovation diffusion theories, i focus on the coercive and mimetic forces that influence the diffusion of mental health policy across nations. international organizations’ mandates influence government behavior. dependency on external resources, namely foreign aid, also affects governments’ formulation of national policy. and finally, mounting...

Nonlinear Elliptic Equations with Fractional Diffusion

Cross-diffusion Induced Instability and Stability in Reaction-diffusion Systems

In a reaction-diffusion system, diffusion can induce the instability of a uniform equilibrium which is stable with respect to a constant perturbation, as shown by Turing in 1950s. We show that cross-diffusion can destabilize a uniform equilibrium which is stable for the kinetic and self-diffusion reaction systems; on the other hand, cross-diffusion can also stabilize a uniform equilibrium which...