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.

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Publisher Cambridge University Press
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ISBN 1108573592
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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
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
Partial Differential Equations
Language: en
Pages: 227
Authors: A. V. Bitsadze
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: World Scientific

This textbook in partial differential equations has been adopted as course material by the Moscow State University. The theoretical foundations of PDE are expla
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
Fluid Mechanics
Language: en
Pages: 723
Authors: Franz Durst
Categories: Science
Type: BOOK - Published: 2008-09-01 - Publisher: Springer Science & Business Media

Fluid mechanics embraces engineering, science, and medicine. This book’s logical organization begins with an introductory chapter summarizing the history of f
Nonlinear Partial Differential Equations in Engineering
Language: en
Pages: 510
Authors: W. F. Ames
Categories: Mathematics
Type: BOOK - Published: 1965-01-01 - Publisher: Academic Press

Nonlinear Partial Differential Equations in Engineering
Progress in Theoretical and Computational Fluid Mechanics
Language: en
Pages: 184
Authors: G P Galdi
Categories: Mathematics
Type: BOOK - Published: 1994-05-18 - Publisher: CRC Press

This volume presents a series of lectures given at the Winter School in Fluid Dynamics held in Paseky, Czech Republic in December 1993. Including original resea
Applied and Computational Fluid Mechanics
Language: en
Pages: 524
Authors: Scott Post
Categories: Technology & Engineering
Type: BOOK - Published: 2010-01-30 - Publisher: Jones & Bartlett Publishers

Designed for the fluid mechanics course for mechanical, civil, and aerospace engineering students, or as a reference for professional engineers, this up to date
Control and Analysis for Partial Differential Equations in Fluid Mechanics and Geoscience
Language: en
Pages: 240
Authors: Changbing Hu
Categories:
Type: BOOK - Published: 2002 - Publisher:

Mathematical Theory in Fluid Mechanics
Language: en
Pages: 144
Authors: G P Galdi
Categories: Science
Type: BOOK - Published: 1996-08-01 - Publisher: CRC Press

This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wah