Lyapunov Functionals and Local Dissipativity for the Vorticity Equation in L^p and Besov Spaces

Utpal Manna, Sivaguru S. Sritharan

In this paper we establish the local Lyapunov property of certain L^p and Besov norms of the vorticity fields. We have resolved in part, a certain open problem posed by Tosio Kato…