Singular limit problem for the Keller–Segel–Navier–Stokes system on torus

Abstract

In this paper, we consider the singular limit problem of a new Keller–Segel–Navier–Stokes system with two nonlinear terms on the torus . By using the properties of the heat kernel, we derive the generalized maximal regularity estimates and solve this singular limit problem with combining the Banach fixed‐point theorem.