We present a method for solving the generalized Riemann problem for partial differential equations of the advection-reaction type. The generalization of the Riemann problem here is twofold. Firstly, ...

The goal of this study is to use chaotic advection theory to quantify the degree of stretching and folding in the new injection/extraction scheme. A suite of Matlab codes are used to track the fluid ...

This problem is relevant to nonlinear propagation phenomena in reaction-diffusion equations. The main point is that the advection (or drift) term m allows natural degeneracy. For instance, m can be ...