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arXiv 2007-08-13 0 views

On the relativistic Vlasov-Poisson system

Kiessling, Michael K. -H. · Tahvildar-Zadeh, A. Shadi

Original · EN

The Cauchy problem is revisited for the so-called relativistic Vlasov-Poisson system in the attractive case. Global existence and uniqueness of spherical classical solutions is proved under weaker assumptions than previously used. A new class of blowing up solutions is found when these conditions are violated. A new, non-gravitational physical vindication of the model which (unlike the gravitational one) is not restricted to weak fields, is also given.

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