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Lagrangian Solutions to the Vlasov-poisson System with L 1 Density
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bohun, Anna Bouchut, François Crippa, Gianluca |
| Copyright Year | 2014 |
| Abstract | The recently developed theory of Lagrangian flows for transport equations with low regularity coefficients enables to consider non BV vector fields. We apply this theory to prove existence and stability of global Lagrangian solutions to the repulsive Vlasov-Poisson system with only integrable initial distribution function with finite energy. These solutions have a well-defined Lagrangian flow. An a priori estimate on the smallness of the superlevels of the flow in three dimensions is established in order to control the characteristics. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://perso-math.univ-mlv.fr/users/bouchut.francois/publications/vlasov-poisson.pdf |
| Alternate Webpage(s) | https://edoc.unibas.ch/40183/1/20151214105000_566e90c8e33af.pdf |
| Alternate Webpage(s) | http://cvgmt.sns.it/media/doc/paper/2591/vlasov-poisson.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Coefficient Dimensions Lagrangian and Eulerian specification of the flow field Solutions |
| Content Type | Text |
| Resource Type | Article |
