\(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space
A stability analysis for the initial value problem for the non-stationary Navier-Stokes equations in the whole space \({\mathbb{R}}^ 3\) is presented. It consists of conditions on perturbed initial data such that there exists a uniquely determined global solution which satisfies an estimate with input to the unperturbed solution. This estimate provides not only the stability properties but also the decaying behavior.
scientific article; zbMATH DE number 4111209