Book contents
- Frontmatter
- 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 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
Preface
Published online by Cambridge University Press: 05 November 2012
- Frontmatter
- 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 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
Summary
This volume is the result of a workshop, “Partial Differential Equations and Fluid Mechanics”, which took place in the Mathematics Institute at the University of Warwick, June 15th–19th, 2010.
Several of the speakers agreed to write review papers related to their contributions to the workshop, while others have written more traditional research papers. We believe that this volume therefore provides an accessible summary of a wide range of active research topics, along with some exciting new results, and we hope that it will prove a useful resource for both graduate students new to the area and to more established researchers.
We would like to express their gratitude to the following sponsors of the workshop: the London Mathematical Society, EPSRC (via a conference grant EP/I001050/1), and the Warwick Mathematics Department. JCR is currently supported by an EPSRC Leadership Fellowship (grant EP/G007470/1).
Finally it is a pleasure to thank Yvonne Collins and Hazel Higgens from the Warwick Mathematics Research Centre for their assistance during the organization of the workshop.
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- Chapter
- Information
- Mathematical Aspects of Fluid Mechanics , pp. ix - xPublisher: Cambridge University PressPrint publication year: 2012