Partial Differential Equations in Fluid Mechanics

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Charles L. Fefferman (Princeton University, New Jersey) James C. Robinson (University of Warwick)

Partial Differential Equations in Fluid Mechanics

Charles L. Fefferman (Princeton University, New Jersey), James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick)

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English

Cambridge University Press
27 September 2018

Functional analysis & transforms; Differential calculus & equations; Fluid mechanics; Mathematical physics; Materials science

Series: London Mathematical Society Lecture Note Series

The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier–Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.

Edited by: Charles L. Fefferman (Princeton University New Jersey), James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 452
Dimensions: Height: 228mm, Width: 151mm, Spine: 20mm
Weight: 500g
ISBN: 9781108460965
ISBN 10: 1108460968
Series: London Mathematical Society Lecture Note Series
Pages: 336
Publication Date: 27 September 2018
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.