Classical solutions for the Vlasov–Poisson system with damping term

ABSTRACT

We investigate global existence of classical solution to the three dimensional Vlasov–Poisson system with radiation damping $D_f^{[3]}(t)$. We prove that a small perturbation of initial datum for a global classical solution verifying certain decay conditions also launches a global solution which has sharp decay. In addition, we prove that a quasineutral initial datum launches a global classical solution.

KEYWORDS:

• Vlasov–Poisson system
• radiation damping
• classical solution
• perturbation
• quasineutral

AMS SUBJECT CLASSIFICATIONS:

• 35Q83
• 35L60
• 82C21
• 82D10

Disclosure statement

No potential conflict of interest was reported by the authors.