Consider stationary weak solutions of the Navier-Stokes equations in a bounded domain in R3 under the nonhomogeneous boundary condition. We give a new approach for the stability of the stationary flow in the L2-framework. Furthermore, we give some examples of stable solutions which may be large in L3(Ω) or W1,3/2(Ω).
ASJC Scopus subject areas
- Applied Mathematics