By Pierre Gilles Lemarie-Rieusset
Up-to-Date insurance of the Navier–Stokes Equation from a professional in Harmonic Analysis
The whole answer of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an immense open problem in partial differential equations (PDEs) examine regardless of colossal reviews on turbulence and 3-dimensional fluids. The Navier–Stokes challenge within the twenty first Century presents a self-contained consultant to the function of harmonic research within the PDEs of fluid mechanics.
The booklet makes a speciality of incompressible deterministic Navier–Stokes equations when it comes to a fluid filling the full area. It explores the that means of the equations, open difficulties, and up to date development. It comprises classical effects on neighborhood life and stories criterion for regularity or specialty of ideas. The booklet additionally contains historic references to the (pre)history of the equations in addition to fresh references that spotlight lively mathematical study within the field.
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The Navier-Stokes Problem in the 21st Century by Pierre Gilles Lemarie-Rieusset