= Stability diagram of the linear complex Ginzburg-Landau equation
{title2=$\mu_a=U^2/[4(1+c_d^2)]$}
For the <linear complex Ginzburg-Landau equation> with real $U,c_d,\mu$ and positive real diffusion coefficient scaled to one, the maximum <temporal growth rate> is $\mu$ and the <absolute growth rate> is $\mu-U^2/[4(1+c_d^2)]$. For $U>0$, $\mu<0$ is stable, $0<\mu<\mu_a$ has <convective hydrodynamic instability>, and $\mu>\mu_a$ has <absolute hydrodynamic instability>. Both equality boundaries are marginal in exponential rate.
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