By V. I. Yudovich
This publication provides the speculation of the linearization approach as utilized to the matter of steady-state and periodic motions of continuing media. the writer proves infinite-dimensional analogues of Lyapunov's theorems on balance, instability, and conditional balance for a wide type of constant media. furthermore, semigroup houses for the linearized Navier-Stokes equations relating to an incompressible fluid are studied, and coercivity inequalities and completeness of a procedure of small oscillations are proved.
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