科研之友
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摘要
We develop a new approach to velocity averaging lemmas based on the dispersive properties of the kinetic transport operator. This method yields unprecedented sharp results in critical Besov spaces, which display, in some cases, a gain of one full derivative. Moreover, the study of dispersion allows to treat the case of L-x(r) L-v(p), integrability with r <= p. We also establish results on the control of concentrations in the degenerate L-x(1),(v) case, which is fundamental in the study of hydrodynamic limits of the Boltzmann equation.
- 出版日期2014-4
