| Abstract: |
| In this talk, I will present a recent work about the asymptotic stability of the global Maxwellian for the Vlasov-Poisson-Fokker-Planck (VPFP) equation with a small collision frequency. Our main result establishes the Landau damping and enhanced dissipation phenomena under the condition that the perturbation of the global Maxwellian falls within the Gevrey-1/s class and obtains that the stability threshold for the Gevrey-1/s class with $s>s_k$ can not be larger than $\gamma=\frac{1-3s_{k}}{3-3s_{k}}$ for $s_{k}\in [0,1/3]$. |
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