**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 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.

(

**10940**views)

**An Introduction to Topos Physics**

by

**Marios Tsatsos**-

**arXiv**

The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can give rise to new descriptions of quantum physics.

(

**7972**views)

**Funky Mathematical Physics Concepts**

by

**Eric L. Michelsen**-

**UCSD**

This text covers some of the unusual or challenging concepts in graduate mathematical physics. This work is meant to be used with any standard text, to help emphasize those things that are most confusing for new students.

(

**6594**views)

**Three Lectures on Complexity and Black Holes**

by

**Leonard Susskind**-

**arXiv.org**

The first lecture describes the meaning of quantum complexity, the analogy between entropy and complexity, and the second law of complexity. Lecture two reviews the connection between the second law of complexity and the interior of black holes...

(

**2794**views)