
Mathematical Aspects of Fluid Mechanics
- English
- PDF
- Available on iOS & Android
Mathematical Aspects of Fluid Mechanics
About this book
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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Information
Table of contents
- Cover
- LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES
- Title
- Copyright
- Dedication
- Contents
- Preface
- List of Contributors
- Contents
- Preface
- List of Contributors
- 1 Towards fluid equations by approximate deconvolution models
- 2 On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph
- 3 A continuous model for turbulent energy cascade
- 4 Remarks on complex fluid models
- 5 A naive parametrization for the vortex-sheet problem
- 6 Sharp and almost-sharp fronts for the SQG equation
- 7 Feedback stabilization for the Navier–Stokes equations: theory and calculations
- 8 Interacting vortex pairs in inviscid and viscous planar flows
- 9 Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier–Stokes equations
- 10 Exploring symmetry plane conditions in numerical Euler solutions
- 11 On the decay of solutions of the Navier–Stokes system with potential forces
- 12 Leray–Hopf solutions to Navier–Stokes equations with weakly converging initial data