Abstract
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.
Citation
Arnaud Debussche. J. Vovelle. "Long-time behavior in scalar conservation laws." Differential Integral Equations 22 (3/4) 225 - 238, March/April 2009. https://doi.org/10.57262/die/1356019771
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