Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects

Vladimir Angulo-Castillo, Lucas C. F. Ferreira, Leonardo Kosloff

We are concerned with the long-time solvability for 2D inviscid Boussinesq equations for a larger class of initial data which covers the case of borderline regularity. First we sho…