Applied Analysis of the Navier-Stokes Equations
eBook - PDF

Applied Analysis of the Navier-Stokes Equations

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Applied Analysis of the Navier-Stokes Equations

About this book

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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Yes, you can access Applied Analysis of the Navier-Stokes Equations by Charles R. Doering,J. D. Gibbon in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Fluid Mechanics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. 1 The equations of motion
  9. 2 Dimensionless parameters and stability
  10. 3 Turbulence
  11. 4 Degrees of freedom, dynamical systems, and attractors
  12. 5 On the existence, uniqueness, and regularity of solutions
  13. 6 Ladder results for the Navier-Stokes equations
  14. 7 Regularity and length scales for the 2d and 3d Navier-Stokes equations
  15. 8 Exponential decay of the Fourier power spectrum
  16. 9 The attractor dimension for the Navier-Stokes equations
  17. 10 Energy dissipation rate estimates for boundary-driven flows
  18. Appendix A Inequalities
  19. References
  20. Index