On the global well-posedness of the Boussinesq system with zero viscosity

TL;DR

This paper establishes the global well-posedness of the 2D Boussinesq system with zero viscosity for rough initial data, advancing understanding of fluid dynamics models under minimal viscosity assumptions.

Contribution

It proves the global well-posedness of the 2D Boussinesq system with zero viscosity for rough initial data, a significant extension in fluid dynamics theory.

Findings

Global well-posedness proven for zero viscosity case

Applicability to rough initial data

Advances understanding of fluid models with minimal viscosity

Abstract

In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero viscosity for rough initial data.