Generally, a problem is discussed globally, where the mathematical model describing the physical phenomena is derived and the equations are solved with Matlab, in a step-by-step approach.

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, ...

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 ...

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 ...