Well-posedness for the Boussinesq system in critical spaces via maximal regularity
Analysis of PDEs
2020-12-08 v2 Functional Analysis
Abstract
We establish the existence and the uniqueness for the Boussinesq system in the whole 3D space in the critical space of continuous in time with values in the power 3 integrable in space functions for the velocity and square integrable in time with values in the power 3/2 integrable in space.
Cite
@article{arxiv.2012.02450,
title = {Well-posedness for the Boussinesq system in critical spaces via maximal regularity},
author = {Lorenzo Brandolese and Sylvie Monniaux},
journal= {arXiv preprint arXiv:2012.02450},
year = {2020}
}