Applied Analysis of the Navier-Stokes Equations [ electronic resource ] / by Charles R. Doering and J. D. Gibbon.
By: Doering, Charles R.
Contributor(s): Gibbon, J. D [joint author].
Material type:
TextSeries: Cambridge Texts in Applied Mathematics (12). Publisher: Cambridge: Cambridge University Press , 2010ISBN: 9780511608803 ( e-book ).Subject(s): Real and Complex Analysis | Fluid Dynamics and Solid Mechanics | Mathematical Physics | Mathematics | Differential and Integral Equations | Dynamical Systems and Control TheoryGenre/Form: Electronic booksDDC classification: 515.353 Online resources: https://doi.org/10.1017/CBO9780511608803 View to click Summary: The Navier–Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier–Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion. Intended for graduate students and researchers in applied mathematics and theoretical physics, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses.
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E-Book
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WWW | 515.353 DOE/A (Browse shelf) | Available | EB217 |
The Navier–Stokes equations are a set of nonlinear partial differential equations comprising the fundamental dynamical description of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier–Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion. Intended for graduate students and researchers in applied mathematics and theoretical physics, results and techniques from nonlinear functional analysis are introduced as needed with an eye toward communicating the essential ideas behind the rigorous analyses.
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