Yudovich type solution for the two dimensional Euler-Boussinesq system with critical dissipation and general source term

Abstract

<abstract><p>The present article investigates the two-dimensional Euler-Boussinesq system with critical fractional dissipation and general source term. First, we show that this system admits a global solution of Yudovich type, and as a consequence, we treat the regular vortex patch issue.</p></abstract>