TY - JOUR
T1 - $L^6$ Bound for Boltzmann Diffusive Limit
AU - Guo , Yan
JO - Annals of Applied Mathematics
VL - 3
SP - 249
EP - 265
PY - 2022
DA - 2022/06
SN - 32
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20641.html
KW - $L^6$ estimate, Boltzmann equation, diffusive limit.
AB - <p style="text-align: justify;">We consider diffusive limit of the Boltzmann equation in a periodic box.
We establish $L^6$ estimate for the hydrodynamic part $\mathbf{P}f$ of particle distribution
function, which leads to uniform bounds global in time.</p>