On the global well-posedness of the Boussinesq system with zero viscosity. (English) Zbl 1178.35303

Authors’ abstract: We prove the global well-posedness of the two-dimensional Boussinesq system, with zero viscosity and strictly positive conductivity, for rough initial data.


35Q35 PDEs in connection with fluid mechanics
35B65 Smoothness and regularity of solutions to PDEs
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
Full Text: DOI arXiv