Díaz Díaz, Jesús Ildefonso and Kruzhkov, Stanislav Nicolayevich (1996) Propagation properties for scalar conservation laws. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 323 (5). pp. 463-468. ISSN 0764-4442
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Official URL: http://gallica.bnf.fr/ark:/12148/bpt6k57599748
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.
|Uncontrolled Keywords:||initial disturbance; Riemann problems|
|Subjects:||Sciences > Mathematics > Differential equations|
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|Deposited On:||05 Jul 2012 11:55|
|Last Modified:||08 May 2013 18:48|
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