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 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.
(11831 views)
Mathematical Physics IIby Boris Dubrovin - SISSA
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
(19549 views)
A Mathematics Primer for Physics Graduate Studentsby Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
(27339 views)
Topics in Spectral Theoryby Vojkan Jaksic - McGill University
The subject of these lecture notes is spectral theory of self-adjoint operators and some of its applications to mathematical physics. The main theme is the interplay between spectral theory of self-adjoint operators and classical harmonic analysis.
(10759 views)