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EnglishIn 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.
http://hdl.handle.net/11697/13099| Titolo: | Contractivity and asymptotics in Wasserstein metrics for viscous nonlinear scalar conservation laws |
| Autori interni: | DI FRANCESCO, MARCO LATTANZIO, CORRADO |
| Data di pubblicazione: | 2007 |
| Rivista: | BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B |
| 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. |
| Handle: | http://hdl.handle.net/11697/13099 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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