The Navier-Stokes Problem in the 21st Century
The Navier-Stokes Problem in the 21st Century Up-to-Date Coverage of the Navier-Stokes Equation from an Expert in Harmonic AnalysisThe complete resolution of the Navier-Stokes equation--one of the…
Specifikacia The Navier-Stokes Problem in the 21st Century
The Navier-Stokes Problem in the 21st Century
Up-to-Date Coverage of the Navier-Stokes Equation from an Expert in Harmonic AnalysisThe complete resolution of the Navier-Stokes equation--one of the Clay Millennium Prize Problems--remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. It explores the meaning of the equations, open problems, and recent progress. The Navier-Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics.The book focuses on incompressible deterministic Navier-Stokes equations in the case of a fluid filling the whole space.
The book also incorporates historical It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions.