TY - JOUR
T1 - On the convergence of viscous approximations after shock interactions
JF - Discrete Contin. Dyn. Syst. 23 (2009) 29-48
Y1 - 2009
A1 - Alberto Bressan
A1 - Carlotta Donadello
AB - We consider a piecewise smooth solution to a scalar conservation law, with possibly interacting shocks. We show that, after the interactions have taken place, vanishing viscosity approximations can still be represented by a regular expansion on smooth regions and by a singular perturbation expansion near the shocks, in terms of powers of the viscosity coefficient.
PB - American Institute of Mathematical Sciences
UR - http://hdl.handle.net/1963/3412
U1 - 923
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -