Lorentz spaces in action on pressureless systems arising from models of collective behavior
Résumé
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
$L_{q,r}(0,T;L_p(\Omega))$ spaces.
Origine : Fichiers produits par l'(les) auteur(s)
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