TY - BOOK
T1 - Partial Differential Equations in Fluid Mechanics
AU - Fefferman, Charles L.
AU - Robinson, James C.
AU - Rodrigo, José L.
N1 - Publisher Copyright:
© Cambridge University Press 2018.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85133249445&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85133249445&partnerID=8YFLogxK
U2 - 10.1017/9781108610575
DO - 10.1017/9781108610575
M3 - Book
AN - SCOPUS:85133249445
SN - 9781108460965
BT - Partial Differential Equations in Fluid Mechanics
PB - Cambridge University Press
ER -