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Semi-Analytic Methods for the Navier-Stokes Equations
 
Edited by: Katie Coughlin University of Montreal, Montreal, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Front Cover for Semi-Analytic Methods for the Navier-Stokes Equations
Available Formats:
Softcover ISBN: 978-0-8218-0878-8
Product Code: CRMP/20
119 pp 
List Price: $51.00
MAA Member Price: $45.90
AMS Member Price: $40.80
Electronic ISBN: 978-1-4704-3934-7
Product Code: CRMP/20.E
119 pp 
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $38.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $76.50
MAA Member Price: $68.85
AMS Member Price: $61.20
Front Cover for Semi-Analytic Methods for the Navier-Stokes Equations
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  • Front Cover for Semi-Analytic Methods for the Navier-Stokes Equations
  • Back Cover for Semi-Analytic Methods for the Navier-Stokes Equations
Semi-Analytic Methods for the Navier-Stokes Equations
Edited by: Katie Coughlin University of Montreal, Montreal, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Available Formats:
Softcover ISBN:  978-0-8218-0878-8
Product Code:  CRMP/20
119 pp 
List Price: $51.00
MAA Member Price: $45.90
AMS Member Price: $40.80
Electronic ISBN:  978-1-4704-3934-7
Product Code:  CRMP/20.E
119 pp 
List Price: $48.00
MAA Member Price: $43.20
AMS Member Price: $38.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $76.50
MAA Member Price: $68.85
AMS Member Price: $61.20
  • Book Details
     
     
    CRM Proceedings & Lecture Notes
    Volume: 201999
    MSC: Primary 76;

    The lectures collected for this volume were given during a workshop entitled, “Semi-analytic Methods for the Navier Stokes Equations” held at the CRM in Montréal. The title reflects the current reality in fluid dynamics: Navier-Stokes equations (NSE) describe the behavior of fluid in a wide range of physical situations, the solutions of these equations are sufficiently complicated, so that another level of analysis is clearly needed. The fundamental problem is not just to solve the NSE, but also to understand what the solutions mean.

    One of the goals of the workshop was to bring together people who, while working in different fields, share a common perspective on the nature of the problem to be solved. The lectures present a diverse set of techniques for modelling, computing, and understanding phenomena such as instabilities, turbulence and spatiotemporal chaos in fluids.

    Readership

    Graduate students and research mathematicians interested in fluid mechanics, numerical analysis, turbulences, and Navier-Stokes equations; physicists and engineers.

  • Table of Contents
     
     
    • Chapters
    • Probabilities and conditional averages in turbulence
    • Spatiotemporal chaos in large systems: The scaling of complexity with size
    • Empirical dynamical system reduction I: Global nonlinear transformations
    • Empirical dynamical system reduction II: Neural charts
    • Asymmetries in eastward and westward jets in a model planetary atmosphere
    • Lagrangian averaging for dynamic Eddy-viscosity subgrid models for filtered Navier-Stokes equation
    • Punctuated Hamiltonian models of structured turbulence
  • Request Review Copy
Volume: 201999
MSC: Primary 76;

The lectures collected for this volume were given during a workshop entitled, “Semi-analytic Methods for the Navier Stokes Equations” held at the CRM in Montréal. The title reflects the current reality in fluid dynamics: Navier-Stokes equations (NSE) describe the behavior of fluid in a wide range of physical situations, the solutions of these equations are sufficiently complicated, so that another level of analysis is clearly needed. The fundamental problem is not just to solve the NSE, but also to understand what the solutions mean.

One of the goals of the workshop was to bring together people who, while working in different fields, share a common perspective on the nature of the problem to be solved. The lectures present a diverse set of techniques for modelling, computing, and understanding phenomena such as instabilities, turbulence and spatiotemporal chaos in fluids.

Readership

Graduate students and research mathematicians interested in fluid mechanics, numerical analysis, turbulences, and Navier-Stokes equations; physicists and engineers.

  • Chapters
  • Probabilities and conditional averages in turbulence
  • Spatiotemporal chaos in large systems: The scaling of complexity with size
  • Empirical dynamical system reduction I: Global nonlinear transformations
  • Empirical dynamical system reduction II: Neural charts
  • Asymmetries in eastward and westward jets in a model planetary atmosphere
  • Lagrangian averaging for dynamic Eddy-viscosity subgrid models for filtered Navier-Stokes equation
  • Punctuated Hamiltonian models of structured turbulence
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