| Abstract: |
| In this talk, we give recent progress on diffusive limit of one-species VPB and VMB with angular cutoff. For one-species VPB, by a newly H^2-W^{2,\infty} framework, the time decay estimate and the weighted energy estimate, we justify the incompressible Navier-Stokes-Fourier Poisson (NSFP) limit for all potentials \gamma>-3. For one-species VMB, by employing the weighted energy method with two newly introduced weight functions, we justify the incompressible Navier-Stokes-Fourier-Maxwell (NSFM) limit for hard potentials \gamma \geq 0. |
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