Global classical solutions of the Vlasov-Darwin system for small initial data
نویسنده
چکیده
A global-in-time existence theorem for classical solutions of the Vlasow-Darwin system 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.
منابع مشابه
Global Classical Solutions of the Relativistic Vlasov-darwin System with Small Cauchy Data: the Generalized Variables Approach
We show that a smooth, small enough Cauchy datum launches a unique classical solution of the relativistic Vlasov-Darwin (RVD) system globally in time. A similar result is claimed in [15] following the work in [13]. Our proof does not require estimates derived from the conservation of the total energy, nor those previously given on the transverse component of the electric field. These estimates ...
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