\(L^q\)-theory of a singular ''winding'' integral operator arising from fluid dynamics. (Q1880141)

The authors study the solvability of a system of partial differential equations of second order involving an angular derivative which is not subordinate to the Laplacian. This system arises from the linearization of the Navier-Stokes equations of a three-dimensional rigid body rotating in a viscous incompressible fluid. The solvability in \(L^q({\mathbb R}^n)\) is obtained by means of studying the properties of the singular operator arising from the fundamental solution.