Solution
= Solution
If $d=1$, the condition would require
$$
f_u+g_v>2\sqrt J>0.
$$
But homogeneous stability requires $f_u+g_v<0$. These inequalities are incompatible, so equal diffusivities cannot produce a <Turing instability>.
= Solution
If $d=1$, the condition would require
$$
f_u+g_v>2\sqrt J>0.
$$
But homogeneous stability requires $f_u+g_v<0$. These inequalities are incompatible, so equal diffusivities cannot produce a <Turing instability>.