# Navier-Stokes turbulence : theory and analysis /

**Saved in:**

Author / Creator: | Kollmann, Wolfgang, 1942- author. |
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Imprint: | Cham, Switzerland : Springer, [2019] ©2019 |

Description: | 1 online resource (xl, 725 pages) : illustrations (some color) |

Language: | English |

Subject: | Turbulence. Navier-Stokes equations. Navier-Stokes equations. Turbulence. Electronic books. |

Format: | E-Resource Book |

URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11998006 |

**Table of Contents:**

- Introduction
- Navier-Stokes equations
- Basic properties of turbulent flows
- Flow domains and bases
- Phase and test function spaces
- Probability measure and characteristic functional
- Functional differential equations
- Characteristic functionals for incompressible turbulent flows
- Fdes for the characteristic functionals
- Solution of Hopf type equations in the spatial description
- The role of the pressure
- Properties and construction of Mappings
- M(): Single scalar in homogeneous turbulence
- M(N): Mappings for velocity-scalar and position-scalar Pdfs
- Integral transforms and spectra
- Intermittency
- Equilibrium theory of Kolmogorov and Onsager
- Homogeneous turbulence
- Length and time scales
- The structure of turbulent ows
- Wall-bounded turbulent ows
- The limit of in_nite Reynolds number for incompressible uids
- Appendix A: Mathematical tools
- Appendix B: Example for a measure on a ball in Hilbert space
- Appendix C: Scalar and vector bases for periodic pipe ow
- Modi_ed Jacobi polynomials Pa;b
- n (r)
- Orthonormalisation of the modi_ed polynomials Pa;b
- n (r)
- Test function space Np: Scalar _elds
- (i) Bases for the test function space Np
- Function spaces: Vector _elds
- (i) Construction of a general vector basis
- (ii) Construction of a solenoidal vector basis
- Gram-Schmidt orthonormalisation
- Appendix D: Green's function for periodic pipe ow
- Leray version of the Navier-Stokes pdes
- Appendix E: Semi-empirical treatment of simple wall-bounded ows
- Appendix F: Solutions to problems
- Bibliography.