Answers are grounded in this paper and cite their sources.
Observational analysis reports construction of mild solutions in sobolev spaces, suggesting broader applicability.
In this research, the Cauchy problem of the 3D viscous Boussinesq system is studied considering an initial temperature with negative Sobolev regularity. Precisely, we construct local in time mild solutions to this system where the temperature term belongs to Sobolev spaces of negative order. Our main contribution is to show how the coupled structure of the Boussinesq system allows us to considerably weaken the Sobolev regularity in the temperature term.
No takes yet. Share an insight, caveat, or question.
Fernández-Dalgo et al. (2025) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: