Decay of Positive Waves for $n \times n$ Hyperbolic Systems of Balance Laws

Paola Goatin (1) , Laurent Gosse (2)

1 ISITV - Institut des Sciences de l'Ingénieur de Toulon et du Var
2 IAC - Istituto per le Applicazioni del Calcolo "Mauro Picone"

We prove Ole\u \i nik-type decay estimates for entropy solutions of $n\times n$ strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which the source term is treated as a nonconservative product localized on a discrete lattice.

Mots clés: conservation laws; source terms; nonconservative products

Domaines: Equations aux dérivées partielles [math.AP]

Paola Goatin, Laurent Gosse. Decay of Positive Waves for $n \times n$ Hyperbolic Systems of Balance Laws. Proceedings of the American Mathematical Society, 2004, 132, pp.1627-1637. ⟨10.1090/S0002-9939-04-07315-0⟩. ⟨hal-00419731⟩