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

Khmelnik, Solomon I

 
9780557540792: Navier-Stokes equations. On the existence and the search method for global solutions.
Softcover
ISBN 10: 0557540798 ISBN 13: 9780557540792
Verlag: Lulu Press, 2010

Inhaltsangabe

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.

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Verlag
Lulu Press
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
0557540798
ISBN 13 
9780557540792
Einband
Paperback
Anzahl der Seiten
104
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Verantwortliche Person
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