Navier–Stokes Equations
Existence, uniqueness, and regularity for incompressible fluid flow.
Navier–Stokes Equations. Existence, uniqueness, and regularity for incompressible fluid flow.
Foundations and canonical references
The standard treatments of navier–stokes equations approach the subject from complementary angles. Sohr, The Navier-Stokes Equations: An Elementary Functional Analytic Approach (2001) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Chemin, Mathematical Geophysics (2006) offers an alternative presentation that complements the primary references and is useful for triangulating definitions and proof techniques.
Open methodological questions for navier–stokes equations include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2001The Navier-Stokes Equations: An Elementary Functional Analytic Approachsohr-2001
- textbook · supporting · 2006Mathematical Geophysicschemin-2006, desjardins-2006, gallagher-2006, grenier-2006
In context
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