Partial Differential Equations in Fluid Mechanics

Partial Differential Equations in Fluid Mechanics

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.

GET FULL EBOOK

Author
Publisher Cambridge University Press
Release Date
ISBN 1108573592
Pages pages
Partial Differential Equations in Fluid Mechanics
Language: en
Pages:
Authors: Charles L. Fefferman
Categories: Mathematics
Type: BOOK - Published: 2018-09-30 - Publisher: Cambridge University Press

The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of part
Random Perturbation of PDEs and Fluid Dynamic Models
Language: en
Pages: 176
Authors: Franco Flandoli
Categories: Mathematics
Type: BOOK - Published: 2011-03-11 - Publisher: Springer Science & Business Media

This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and in
Partial Differential Equations in Fluid Dynamics
Language: en
Pages: 282
Authors: Isom H. Herron
Categories: Mathematics
Type: BOOK - Published: 2008-07-28 - Publisher: Cambridge University Press

This book concerns partial differential equations applied to fluids problems in science and engineering.
Partial Differential Equations and Fluid Mechanics
Language: en
Pages: 257
Authors: James C. Robinson
Categories: Mathematics
Type: BOOK - Published: 2009-07-16 - Publisher: Cambridge University Press

Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007
Computational Fluid Dynamics
Language: en
Pages: 291
Authors: John F. Wendt
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

This book is an outgrowth of a von Kannan Institute Lecture Series by the same title first presented in 1985 and repeated with modifications in succeeding years
Stochastic Partial Differential Equations and Applications
Language: en
Pages: 474
Authors: Giuseppe Da Prato
Categories: Mathematics
Type: BOOK - Published: 2002-04-05 - Publisher: CRC Press

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminatin
Numerical Methods for Wave Equations in Geophysical Fluid Dynamics
Language: en
Pages: 466
Authors: Dale R. Durran
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used i
Computational Fluid Dynamics
Language: en
Pages: 332
Authors: John Wendt
Categories: Technology & Engineering
Type: BOOK - Published: 2008-11-04 - Publisher: Springer Science & Business Media

Computational Fluid Dynamics: An Introduction grew out of a von Karman Institute (VKI) Lecture Series by the same title ?rst presented in 1985 and repeated with
Selected papers: Fluid dynamics and real partial differential equations
Language: en
Pages:
Authors: Jean Leray
Categories: Algebraic topology
Type: BOOK - Published: 1998 - Publisher:

Physics and Partial Differential Equations
Language: en
Pages: 264
Authors: Tatsien Li
Categories: Mathematics
Type: BOOK - Published: 2013-08-14 - Publisher: SIAM

Now available in English for the first time, Physics and Partial Differential Equations, Volume I bridges physics and applied mathematics in a manner that is ea