ABSTRACT
Equation (11.11) shows that the functional form of F(x - ut) is identical to the functional form of ¢(x). That is, F(x - ut) = ¢(x - ut). Thus, Eq. (l1.9) becomes
I f(x, t) = ¢(x - ut) I Equation (11.12) is the exact solution of the convection equation. It shows that the initial property distributionf(x, 0) = ¢(x) simply propagates (i.e., convects) to the right at the constant convection velocity u unchanged in magnitude and shape.
