Linear complex Ginzburg-Landau equation
= Linear complex Ginzburg-Landau equation
{title2=$\psi_t+U\psi_x=\mu\psi+(1+ic_d)\psi_{xx}$}
A <normal mode> $e^{i(kx-\omega t)}$ has <dispersion relation> $\omega=Uk+(c_d-i)k^2+i\mu$. The <absolute wavenumber> is the saddle where $d\omega/dk=0$. The <Green function of the linear complex Ginzburg-Landau equation> distinguishes <convective hydrodynamic instability> from <absolute hydrodynamic instability>.