I think I see what you are saying, but aren't there two sets of spatial coordinates in 2D--the x,y layer for the first system, and the x,y layer for the second system? I am not sure how to formulate the D[] functions, Laplacian, or initial/boundary conditions with this in mind.
I had tried to...
As I understand it, there should be 4 equations, with x_1, y_1, x_2, y_2 . I was using x, y, d, and c to represent those functions because I was worried about bungling subscripts.
Hi Forum,
I'm trying to use Mathematica to graphically explore a system of four PDEs, as defined in Yang et al. (2002).
Spatial Resonances and Superposition Patterns in a Reaction-Diffusion Model
with Interacting Turing Modes. Physical Review Letters 88(20). The equations are:
\frac{\partial...
Hello, all.
I'm wondering about matrix-variate normal distributions. I know they normally assume an n x p random matrix, X, and associated row and column covariance matrices Omega and Sigma, but I'm wondering how the probability density function changes if X is comprised of a square...