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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
Available Formats:
Softcover ISBN: 978-0-8218-0878-8
Product Code: CRMP/20
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 List Price:$48.00
MAA Member Price: $43.20 AMS Member Price:$38.40
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List Price: $76.50 MAA Member Price:$68.85
AMS Member Price: $61.20 Click above image for expanded view 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  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
 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; 119 pp
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.

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
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 201999; 119 pp
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.

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
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
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