Differential and Integral Equations

Long-time behavior in scalar conservation laws

Arnaud Debussche and J. Vovelle

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We consider the long-time behavior of the entropy solution of a first-order scalar conservation law on a Riemannian manifold. In the case of the torus, we show that, under a weak property of genuine non-linearity of the flux, the solution converges to its average value in $L^{p}$, $1\leq p < +\infty$. We give a partial result in the general case.

Article information

Differential Integral Equations, Volume 22, Number 3/4 (2009), 225-238.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35L65: Conservation laws 35B40: Asymptotic behavior of solutions


Debussche, Arnaud; Vovelle, J. Long-time behavior in scalar conservation laws. Differential Integral Equations 22 (2009), no. 3/4, 225--238. https://projecteuclid.org/euclid.die/1356019771

Export citation