Download E-books The Linearization Method in Hydrodynamical Stability Theory (Translations of Mathematical Monographs) PDF

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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