**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

**Quantum Spin Systems on Infinite Lattices**

by

**Pieter Naaijkens**-

**arXiv**

These are the lecture notes for a one semester course at Leibniz University Hannover. The main aim of the course is to give an introduction to the mathematical methods used in describing discrete quantum systems consisting of infinitely many sites.

(

**2695**views)

**Mathematical Physics: Problems and Solutions**

by

**G. S. Beloglazov, et al.**-

**Samara University Press**

The present Proceedings is intended to be used by the students of physical and mechanical-mathematical departments of the universities, who are interested in acquiring a deeper knowledge of the methods of mathematical and theoretical physics.

(

**5811**views)

**Lie Theory and Special Functions**

by

**Willard Miller**-

**Academic Press**

The book studies the role played by special function theory in the formalism of mathematical physics. It demonstrates that special functions which arise in mathematical models are dictated by symmetry groups admitted by the models.

(

**8069**views)

**Random Matrix Models and Their Applications**

by

**Pavel Bleher, Alexander Its**-

**Cambridge University Press**

The book covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems.

(

**10591**views)