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Navier-Stokes Equations: On the Existence and the Search Method for Global Solutions
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In this book we formulate and prove the variation extremum principle for viscous in-compressible and compressible fluid, from which principle follows that the Naviet-Stokes equations represent the extreme conditions of a certain functional. We describe the method of seeking solution for these equations, which consists in moving along the gradient to this functional extremum. We formulate the conditions of reaching this extremum, which are at the same time necessary and sufficient conditions of this functional global extremum existence.