Navier-Stokes equations. On the existence and the search method for global solutions.

Khmelnik, Solomon I

ISBN 10: 0557540798 / ISBN 13: 9780557540792

Published by Lulu Press, 2010

About this Item

Seller Inventory # I-9780557540792

Bibliographic Details

• Title: Navier-Stokes equations. On the existence and the search method for global solutions.
• Publisher: Lulu Press
• Publication Date: 2010
• Language: English
• ISBN 10: 0557540798
• ISBN 13: 9780557540792
• Binding: Soft cover
• Condition: New

About this title

Synopsis

In this book we formulate and prove the variational extremum principle for viscous incompressible fluid, from which principle follows that the Naviet-Stokes equations represent the extremum 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. Then we consider the so-called closed systems. We prove that for them the necessary and sufficient conditions of global extremum for the named functional always exist. Accordingly, the search for global extremum is always successful, and so the unique solution of Naviet-Stokes is found.