RT Journal Article
T1 Propagation properties for scalar conservation laws
A1 Díaz Díaz, Jesús Ildefonso
A1 Kruzhkov, Stanislav Nicolayevich
AB We study the propagation of an initial disturbance u(0)(x) of an equilibrium state s epsilon R for the scalar conservation law u(t) + phi(u)(x) = 0 in (0, + infinity) x R. We give a necessary and sufficient condition on phi for the following propagation property: if support of (u(0)(.) - s) is compact then the support of (u(0)(t,.) - s) is also compact for t epsilon [0, T-0), for some T-0 epsilon (0, + infinity]. The proofs are based on the study of suitable associated Riemann problems.
PB Elsevier
SN 0764-4442
YR 1996
FD 1996-09-05
LK https://hdl.handle.net/20.500.14352/57407
UL https://hdl.handle.net/20.500.14352/57407
LA eng
NO INTAS
NO DGYCT(Spain)
DS Docta Complutense
RD 13 abr 2025