Improvement of two inequalities in the stationary Navier-Stokes equations

摘要

Two inequalities in the book Navier-Stokes Equations Theory and Numerical Analysis written by Roger Temam are improved via Schwarz''s inequality and Young''s inequality, and the coefficients of them are simplified from 2~(1/4) • 3~(1/2) and 2~(1/2) • 3~(3/4) to 2~(1/4) and 2~(3/4), respectively. Therefore, to some extent the approximating error can be reduced and the accuracy of approximation can be improved.