Open Questions: Mathematical Analysis and Differential Equations

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See also: Chaos theory and dynamical systems

Introduction

Navier-Stokes equations

Hilbert's 16th problem


Recommended references: Web sites

Recommended references: Magazine/journal articles

Recommended references: Books

Introduction



Recommended references: Web sites

Site indexes

Mathematics Archives - Analysis
Extensive annotated list of links.
The Math Forum: Analysis
Extensive annotated list of links.
Galaxy: Analysis
Categorized site directory. Entries usually include descriptive annotations. Has a subtopic for functional analysis.
Galaxy: Differential Equations
Categorized site directory. Entries usually include descriptive annotations.


Sites with general resources


Surveys, overviews, tutorials

Mathematical analysis
Article from Wikipedia. See also Functional analysis, Harmonic analysis
Differential equation
Article from Wikipedia. See also Partial differential equation.
Navier-Stokes Equations
Brief description of the problem at the Clay Mathematics Institute site by Charles Fefferman. (A more complete description is available as a PDF file.)
Navier-Stokes equations
Article from Wikipedia.


Recommended references: Magazine/journal articles

A Few Results and Open Problems Regarding Incompressible Fluids
Peter Constantin
Notices of the AMS, June 1995, pp. 658-663
The basic differential equations governing incompressible fluid flow are known as the Navier-Stokes equations. Many interesting problems related to the equations remain open, including questions about singularities and turbulence.
[Article in PDF format]


Recommended references: Books


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