Papers Published
Abstract:
We show that in a tubular domain with sufficiently small width, the normal and tangential gradients of a harmonic
function have almost the same L2 norm. This estimate yields a sharp estimate of the pressure in terms of the viscosity
term in the Navier-Stokes equation with no-slip boundary condition. By consequence, one can analyze the Navier-
Stokes equations simply as a perturbed vector diffusion equation instead of as a perturbed Stokes system. As an
application, we describe a rather easy approach to establish a new isomorphism theorem for the non-homogeneous
Stokes system.