J. Neustupa, A PRINCIPLE OF LINEARIZATION AND THE UNIFORM ASYMPTOTIC STABILITY OF SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE ISOTHERMAL FLUIDS, Mathematical methods in the applied sciences, 17(4), 1994, pp. 251-267
We prove the correctness of a principle of linearization in the invest
igation of the uniform asymptotic stability of a sufficiently smooth,
but generally non-steady, solution of the Navier-Stokes equations for
compressible fluids in the case of a constant temperature.