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EnglishSticky particle solutions to the one-dimensional pressureless gas dynamics equations can be constructed by a suitable metric projection onto the cone of monotone maps, as was shown in recent work by Natile and Savaré. Their proof uses a discrete particle approximation and stability properties for first-order differential inclusions. Here we give a more direct proof that relies on a result by Haraux on the differentiability of metric projections. We apply the same method also to the one-dimensional Euler-Poisson system, obtaining a new proof for the global existence of weak solutions. © 2015 Society for Industrial and Applied Mathematics.
| Titolo: | A simple proof of global existence for the 1D pressureless gas dynamics equations | |
| Autori: | Cavalletti, F.; Sedjro, M.; Westdickenberg, M. | |
| Rivista: | ||
| Data di pubblicazione: | 2015 | |
| Volume: | 47 | |
| Fascicolo: | 1 | |
| Pagina iniziale: | 66 | |
| Pagina finale: | 79 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/130945296 | |
| URL: | http://dx.medra.org/10.1137/130945296 https://arxiv.org/abs/1311.3108 | |
| Appare nelle tipologie: | 1.1 Journal article |
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|---|---|---|---|---|
| 130945296.pdf | Versione Editoriale (PDF) | Non specificato | Administrator Richiedi una copia |
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/20.500.11767/44726
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