Mathematical Aspects of Fluid Mechanics

doi:10.1017/CBO9781139235792

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Dowker, Mark and Ohkitani, Koji 2012. Intermittency and local Reynolds number in Navier-Stokes turbulence: A cross-over scale in the Caffarelli-Kohn-Nirenberg integral. Physics of Fluids, Vol. 24, Issue. 11,

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Livescu, D. and Ryu, J. 2016. Vorticity dynamics after the shock–turbulence interaction. Shock Waves, Vol. 26, Issue. 3, p. 241.

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Edited by James C. Robinson, University of Warwick, José L. Rodrigo, University of Warwick, Witold Sadowski, Uniwersytet Warszawski, Poland

Publisher:: Cambridge University Press
Online publication date:: November 2012
Print publication year:: 2012
Online ISBN:: 9781139235792
DOI:: https://doi.org/10.1017/CBO9781139235792

Subjects:: Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Fluid Dynamics and Solid Mechanics
Series:: London Mathematical Society Lecture Note Series (402)

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The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

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Mathematical Aspects of Fluid Mechanics

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Frontmatter
pp i-vi

Contents
pp vii-viii

Preface
pp ix-x

List of Contributors
pp xi-xvi

1 - Towards fluid equations by approximate deconvolution models
pp 1-22

2 - On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph
pp 23-51

3 - A continuous model for turbulent energy cascade
pp 52-69

4 - Remarks on complex fluid models
pp 70-87

5 - A naive parametrization for the vortex-sheet problem
pp 88-115

6 - Sharp and almost-sharp fronts for the SQG equation
pp 116-129

7 - Feedback stabilization for the Navier–Stokes equations: theory and calculations
pp 130-172

8 - Interacting vortex pairs in inviscid and viscous planar flows
pp 173-200

9 - Stretching and folding diagnostics in solutions three-dimensional Euler and Navier–Stokes equations
pp 201-220

10 - Exploring symmetry plane conditions in numerical Euler solutions
pp 221-234

11 - On the decay of solutions of the Navier–Stokes system with potential forces
pp 235-250

12 - Leray–Hopf solutions to Navier–Stokes equations with weakly converging initial data
pp 251-258

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