Communications in Mathematical Sciences
Volume 6 (2008)
Global classical solutions of the Vlasov-Darwin system for small initial data
Pages: 749 – 764
A global-in-time existence theorem for classical solutions of the Vlasov-Darwin sys- tem is given under the assumption of smallness of the initial data. Furthermore it is shown that in case of spherical symmetry the system degenerates to the relativistic Vlasov-Poisson system.
Relativistic Vlasov-Darwin system; global classical solutions; collisionless plasma
2010 Mathematics Subject Classification