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oai:docta.ucm.es:20.500.14352/574072023-08-26T22:01:00Zcom_20.500.14352_14col_20.500.14352_15

Díaz Díaz, Jesús Ildefonso Kruzhkov, Stanislav Nicolayevich 2023-06-20T16:54:48Z 2023-06-20T16:54:48Z 1996-09-05 0764-4442 https://hdl.handle.net/20.500.14352/57407 http://gallica.bnf.fr/ark:/12148/bpt6k57599748 http://gallica.bnf.fr/ 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. eng restricted access Propagation properties for scalar conservation laws journal article