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
Lie Systems: Theory, Generalisations, and Applications
by 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.
(9939 views)
by 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.
(9939 views)
Lectures on the Singularities of the Three-Body Problem
by C.L. Siegel - Tata Institute of Fundamental Research
From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).
(9371 views)
by C.L. Siegel - Tata Institute of Fundamental Research
From the table of contents: The differential equations of mechanics; The three-body problem : simple collisions (The n-body problem); The three-body problem: general collision (Stability theory of solutions of differential equations).
(9371 views)
Mathematical Methods of Physics
- Wikibooks
A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics.
(11194 views)
- Wikibooks
A book on common techniques of applied mathematics that are often used in theoretical physics. It may be accessible to anyone with beginning undergraduate training in mathematics and physics. It is useful for anyone wishing to study advanced Physics.
(11194 views)
Special Functions and Their Symmetries: Postgraduate Course in Applied Analysis
by Vadim Kuznetsov, Vladimir Kisil - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
(15668 views)
by Vadim Kuznetsov, Vladimir Kisil - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
(15668 views)