Special Session 99: Emerging Trends in Analysis and Control of PDEs

Spectral inequality for the n-dimensional Stokes operator with n-1 observation terms.
Felipe W. Chaves-Silva
Federal University of Paraiba
Brazil
Co-Author(s):    M. G. Ferreira-Silva, D. A. Souza
Abstract:
In this talk, we present a new spectral inequality for the low frequencies of the Stokes operator, obtained by observing only n-1 components of the velocity field. As a consequence, we show that the cost of driving the solution of the evolutionary Stokes system to zero at a given time, using controls acting on n-1 components, is of the same order as the cost corresponding to controls acting on all components of the system.