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
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Language: en
Pages: 257
Authors: James C. Robinson
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Type: BOOK - Published: 2009-07-16 - Publisher: Cambridge University Press

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Pages: 227
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Language: en
Pages: 466
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Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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Pages: 596
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Pages: 723
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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
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Pages: 240
Authors: Changbing Hu
Categories:
Type: BOOK - Published: 2002 - Publisher:

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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
Partial Differential Equations
Language: en
Pages: 288
Authors: Michael Shearer
Categories: Mathematics
Type: BOOK - Published: 2015-03-01 - Publisher: Princeton University Press

An accessible yet rigorous introduction to partial differential equations This textbook provides beginning graduate students and advanced undergraduates with an
Mathematical Methods and Fluid Mechanics. Unit 9. Secondorder Partial Differential Equations
Language: en
Pages: 46
Authors: Open University
Categories:
Type: BOOK - Published: 1984 - Publisher: