Mathematics – Analysis of PDEs
Scientific paper
2008-12-18
Mathematics
Analysis of PDEs
Scientific paper
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.
Debussche Arnaud
Vovelle Julien
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