A new monotonicity formula for the spatially homogeneous Landau equation with Coulomb potential and its applications
نویسندگان
چکیده
We describe a time-dependent functional involving the relative entropy and $\dot{H}^1$ seminorm, which decreases along solutions to spatially homogeneous Landau equation with Coulomb potential. The study of this monotone sheds light on competition between dissipation nonlinearity for equation. It enables us obtain new results concerning regularity/blowup issues
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2023
ISSN: ['1435-9855', '1435-9863']
DOI: https://doi.org/10.4171/jems/1313