Lorentz spaces in action on pressureless systems arising from models of collective behavior
Analysis of PDEs
2020-11-04 v2
Abstract
We are concerned with global-in-time existence and uniqueness results for models of pressureless gases that come up in the description of phenomena in astrophysics or collective behavior. The initial data are rough: in particular, the density is only bounded. Our results are based on interpolation and parabolic maximal regularity, where Lorentz spaces play a key role. We establish a novel maximal regularity estimate for parabolic systems in spaces.
Keywords
Cite
@article{arxiv.2005.05603,
title = {Lorentz spaces in action on pressureless systems arising from models of collective behavior},
author = {Raphaël Danchin and Piotr Boguslaw Mucha and Patrick Tolksdorf},
journal= {arXiv preprint arXiv:2005.05603},
year = {2020}
}