Remarks on pressure blow-up criterion of the 3D zero-diffusion Boussinesq equations in margin Besov spaces
Summary: This study is focused on the pressure blow-up criterion for a smooth solution of three-dimensional zero-diffusion Boussinesq equations. With the aid of Littlewood-Paley decomposition together with the energy methods, it is proved that if the pressure satisfies the following condition on margin Besov spaces, \(\pi(x, t) \in L^{2 /(2 + r)}(0, T; \dot{B}_{\infty,\infty}^r)\) for \(r = \pm 1,\) then the smooth solution can be continually extended to the interval \((0, T^\ast)\) for some \(T^\ast > T\). The findings extend largely the previous results.
scientific article; zbMATH DE number 6962654
scientific article