Arbitrarily large solutions of the Vlasov-Poisson system. (English) Zbl 1397.35309
The principal result of this work is proving an existence of a smooth, spherically symmetric solution of the Vlasov-Poisson system describing the motion of a monocharged, collisionless plasma, which corresponds to the arbitrary large charge densities and electric fields emerging after some time while the total mass conservation is fulfilled.
Reviewer: Eugene Postnikov (Kursk)
MSC:
| 35Q83 | Vlasov equations |
| 35B44 | Blow-up in context of PDEs |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 65M25 | Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs |
| 35B06 | Symmetries, invariants, etc. in context of PDEs |
| 82D10 | Statistical mechanics of plasmas |
| 82B80 | Numerical methods in equilibrium statistical mechanics (MSC2010) |
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