Space analyticity for the Navier-Stokes and related equations with initial data in \(L^p\) (Q1381532)

The authors introduce a method which offers a simple estimate of the analyticity radius of solutions for the Navier-Stokes equations in terms of the \(L^p\) norm of the initial data. In the case of bounded initial data and periodic boundary conditions they are able to express the real-analyticity radius of a solution in terms of the Reynolds number. Finally, one considers the Kuramoto-Sivashinsky equation with bounded initial data and proves that the space-analyticity radius on the attractor is independent of the spatial period.