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Moment Propagation for the Vlasov--Poisson System with Gyroscopic Forces, Velocity Diffusion, and Specular Reflection
This paper studies the three-dimensional Vlasov--Poisson system with gyroscopic forces and velocity diffusion. For the Cauchy problem in $\mathbb R^3$ and the specular--Dirichlet problem in bounded domains, we prove the propagation of velocity moments of order $k>2$ for weak solutions with bounded $
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