Burgers N-wave
= Burgers N-wave
{c}
A localized negative-flux Burgers N-wave has initial profile $-U\theta$ on $|\theta|<L$ and zero outside, for $U,L>0$. The <Cole-Hopf solution for a Burgers N-wave> expresses its viscous evolution in Gaussian interval masses. In the <vanishing-viscosity limit>, the interior slope becomes $-U/(1+UZ)$ and its entropy-shock fronts move to $\pm L\sqrt{1+UZ}$.