Navier-Stokes Equations: On the Existence and the Search Method for Global Solutions
by Solomon I. Khmelnik
Publisher: MiC 2011
ISBN/ASIN: 1456468510
ISBN-13: 9781456468514
Number of pages: 105
Description:
In this book we formulate and prove the variational extremum principle for viscous incompressible and compressible fluid, from which principle follows that the Navier-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.
Download or read it online for free here:
Download link
(4.6MB, PDF)
Similar books
A Window into Zeta and Modular Physicsby Klaus Kirsten, Floyd L. Williams - Cambridge University Press
This book provides an introduction, with applications, to three interconnected mathematical topics: zeta functions in their rich variety; modular forms; vertex operator algebras. Applications of the material to physics are presented.
(11339 views)
Lectures on Three-Dimensional Elasticityby P. G. Ciarlet - Tata Institute of Fundamental Research
In this book a non-linear system of partial differential equations will be established as a mathematical model of elasticity. An energy functional will be established and existence results will be studied in the second chapter.
(10403 views)
Foundations Of Potential Theoryby Oliver Dimon Kellog - Springer
The present volume gives a systematic treatment of potential functions. It has a purpose to serve as an introduction for students and to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications.
(7728 views)
Lie Systems: Theory, Generalisations, and Applicationsby J.F. Carinena, J. de Lucas - arXiv
Lie systems form a class of systems of first-order ordinary differential equations whose general solutions can be described in terms of certain finite families of particular solutions and a set of constants, by means of a particular type of mapping.
(10799 views)