Viscous Conservation Laws in 1d With Measure Initial Data

Miriam Bank, Matania Ben-Artzi, Maria E Schonbek

The one-dimensional viscous conservation law is considered on the whole line $$ u_t + f(u)_x=\eps u_{xx},\quad (x,t)\in\RR\times\overline{\RP},\quad \eps>0, $$ subject to positive…