Abstract
In this work, recent results concerning the long time asymptotics of one-dimensional scalar conservation laws with probability densities as initial data are reviewed and further applied to the case of viscous conservation laws with nonlinear degenerate diffusions. The non-strict contraction of the maximal transport distance together with a uniform expansion of the solutions lead to the existence of time-dependent asymptotic profiles for a large class of convection-diffusion problems with fully general nonlinearities and with degenerate diffusion.
| Original language | English |
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| Pages (from-to) | 277-292 |
| Journal | Bollettino della Unione Matematica Italiana B |
| Volume | 10 |
| Issue number | 2 |
| Publication status | Published - 1 Jun 2007 |