Book contents
- Frontmatter
- Contents
- Preface
- 1 The equations of motion
- 2 Dimensionless parameters and stability
- 3 Turbulence
- 4 Degrees of freedom, dynamical systems, and attractors
- 5 On the existence, uniqueness, and regularity of solutions
- 6 Ladder results for the Navier-Stokes equations
- 7 Regularity and length scales for the 2d and 3d Navier-Stokes equations
- 8 Exponential decay of the Fourier power spectrum
- 9 The attractor dimension for the Navier-Stokes equations
- 10 Energy dissipation rate estimates for boundary-driven flows
- Appendix A Inequalities
- References
- Index
10 - Energy dissipation rate estimates for boundary-driven flows
Published online by Cambridge University Press: 02 February 2010
- Frontmatter
- Contents
- Preface
- 1 The equations of motion
- 2 Dimensionless parameters and stability
- 3 Turbulence
- 4 Degrees of freedom, dynamical systems, and attractors
- 5 On the existence, uniqueness, and regularity of solutions
- 6 Ladder results for the Navier-Stokes equations
- 7 Regularity and length scales for the 2d and 3d Navier-Stokes equations
- 8 Exponential decay of the Fourier power spectrum
- 9 The attractor dimension for the Navier-Stokes equations
- 10 Energy dissipation rate estimates for boundary-driven flows
- Appendix A Inequalities
- References
- Index
Summary
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- Type
- Chapter
- Information
- Applied Analysis of the Navier-Stokes Equations , pp. 181 - 204Publisher: Cambridge University PressPrint publication year: 1995