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A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.
List of contents
Preface Charles L. Fefferman, James C. Robinson and José L. Rodrigo; 1. Remarks on recent advances concerning boundary effects and the vanishing viscosity limit of the Navier-Stokes equations Claude Bardos; 2. Time-periodic flow of a viscous liquid past a body Giovanni P. Galdi and Mads Kyed; 3. The Rayleigh-Taylor instability in buoyancy-driven variable density turbulence John D. Gibbon, Pooja Rao and Colm-Cille P. Caulfield; 4. On localization and quantitative uniqueness for elliptic partial differential equations Guher Camliyurt, Igor Kukavica and Fei Wang; 5. Quasi-invariance for the Navier-Stokes equations Koji Ohkitani; 6. Leray's fundamental work on the Navier-Stokes equations: a modern review of 'Sur le mouvement d'un liquide visqueux emplissant l'espace' Wojciech S. O¿äski and Benjamin C. Pooley; 7. Stable mild Navier-Stokes solutions by iteration of linear singular Volterra integral equations Reimund Rautmann; 8. Energy conservation in the 3D Euler equations on T2 x R+ James C. Robinson, José L. Rodrigo and Jack W. D. Skipper; 9. Regularity of Navier-Stokes flows with bounds for the velocity gradient along streamlines and an effective pressure Chuong V. Tran and Xinwei Yu; 10. A direct approach to Gevrey regularity on the half-space Igor Kukavica and Vlad Vicol; 11. Weak-strong uniqueness in fluid dynamics Emil Wiedemann.
About the author
Charles L. Fefferman is the Herbert Jones Professor in the Mathematics Department at Princeton University, New Jersey. He was awarded the Fields Medal in 1978.James C. Robinson is a Professor of Mathematics at the University of Warwick. He is also a Royal Society University Research Fellow and an EPSRC Leadership Fellow.José L. Rodrigo is a Professor of Mathematics at the University of Warwick, and has been awarded an ERC Consolidator Grant.
Summary
This volume, derived from the 'PDEs in Fluid Mechanics' workshop held at the University of Warwick in 2016, serves to consolidate and advance work in mathematical fluid dynamics. Consisting of surveys and original research, it will be a valuable resource for both established researchers and graduate students seeking an overview of current developments.
