Analysis of the Navier-Stokes Problem: Solution of a Millennium Problem

Preface to the Second Edition
Preface to the First Edition
Contents
About the Author
1 Introduction
2 Brief History of the Navier–Stokes Problem
3 Statement of the Navier–Stokes Problem
4 Theory of Some Hyper-Singular Integral Equations
5 A Priori Estimates of the Solution to the NSP
6 Uniqueness of the Solution to the NSP
7 The Paradox and Its Consequences
8 Logical Analysis of Our Proof
1 Theory of Distributions and Hyper-Singular Integrals
Gamma and Beta Functions
The Laplace Transform
Analysis of the Navier-Stokes Problem. Solution to the Millennium Problem Concerning the Navier-Stokes Equations
	Introduction
	Derivation of the Integral Inequality
	Investigation of Integral Equations and Inequalities with Hyper-Singular Kernel
	Uniqueness of the Solution to the NSP
	Conclusions
Applications of Analytic Continuation to Tables of Integral Transforms and Some Integral Equations with Hyper-Singular Kernels
	Introduction
	More Examples
	Some Applications
	Conclusion
References