No abstract

The current paper aims to study the two‐dimensional (2D) Bénard equations with variable‐viscosity, where we obtain the global existence of a unique weak solution to this system without any assumptions of small initial data.

<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>