Special Session 134: Recent advances in wavelet analysis, PDEs and dynamical systems - part II
Dynamics of the Navier-Stokes equations in critical spaces
Gabriela Planas
Universidade Estadual de Campinas Brazil
Co-Author(s): M. Ikeda, L. Kosloff, C. Niche
Abstract:
We discuss the large-time dynamics for the Navier-Stokes equations in the critical space $\dot{H}^{1/2}$. Known decay estimates merely provide decay to zero with no explicit rates. We show an algebraic upper bound for the decay rate of solutions.