On the Plasma-Charge problem
- [1] Dipartimento di Matematica “G. Castelnuovo” Università di Roma “La Sapienza” Italy
Séminaire Équations aux dérivées partielles (2009-2010)
- Volume: 2009-2010, page 1-9
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topPulvirenti, Mario. "On the Plasma-Charge problem." Séminaire Équations aux dérivées partielles 2009-2010 (2009-2010): 1-9. <http://eudml.org/doc/116438>.
@article{Pulvirenti2009-2010,
abstract = {This short report is a review on recent results of S. Caprino, C. Marchioro, E. Miot and the author on the initial value problem associated to the evolution of a continuous distribution of charges (plasma) in presence of a finite number of point charges.},
affiliation = {Dipartimento di Matematica “G. Castelnuovo” Università di Roma “La Sapienza” Italy},
author = {Pulvirenti, Mario},
journal = {Séminaire Équations aux dérivées partielles},
keywords = {plasma-charge problem; modified Vlasov-Poisson equation; existence/uniqueness},
language = {eng},
pages = {1-9},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {On the Plasma-Charge problem},
url = {http://eudml.org/doc/116438},
volume = {2009-2010},
year = {2009-2010},
}
TY - JOUR
AU - Pulvirenti, Mario
TI - On the Plasma-Charge problem
JO - Séminaire Équations aux dérivées partielles
PY - 2009-2010
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 2009-2010
SP - 1
EP - 9
AB - This short report is a review on recent results of S. Caprino, C. Marchioro, E. Miot and the author on the initial value problem associated to the evolution of a continuous distribution of charges (plasma) in presence of a finite number of point charges.
LA - eng
KW - plasma-charge problem; modified Vlasov-Poisson equation; existence/uniqueness
UR - http://eudml.org/doc/116438
ER -
References
top- S. Caprino and C. Marchioro, On the plasma-charge model, Kinetic and Related Models 3 (2010), no. 2, 241-254 (2010). Zbl1193.82045MR2646058
- S. Caprino and C. Marchioro, , E. Miot and M. Pulvirenti, In preparation
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- C. Marchioro, E. Miot and M. Pulvirenti, The Cauchy problem for the 3-D Vlasov-Poisson system with point charges, preprint (2010) Zbl1321.76081MR2807132
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- J. Schaeffer, Global existence of smooth solutions to the Vlasov-Poisson system in three dimensions, Comm. Partial Differential Equations 16 (1991), no. 8-9, 1313-1335. Zbl0746.35050MR1132787
- S. Wollman, Global in time solution to the three-dimensional Vlasov-Poisson system, Jour. Math. Anal. Appl. 176 (1) (1996), 76-81. Zbl0814.35105MR1222156
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