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A rigorous but accessible introduction to the mathematical theory
of the three-dimensional Navier-Stokes equations, this book
provides self-contained proofs of some of the most significant
results in the area, many of which can only be found in research
papers. Highlights include the existence of global-in-time
Leray-Hopf weak solutions and the local existence of strong
solutions; the conditional local regularity results of Serrin and
others; and the partial regularity results of Caffarelli, Kohn, and
Nirenberg. Appendices provide background material and proofs of
some 'standard results' that are hard to find in the literature. A
substantial number of exercises are included, with full solutions
given at the end of the book. As the only introductory text on the
topic to treat all of the mainstream results in detail, this book
is an ideal text for a graduate course of one or two semesters. It
is also a useful resource for anyone working in mathematical fluid
dynamics.
The rigorous mathematical theory of the Navier-Stokes and Euler
equations has been a focus of intense activity in recent years.
This volume, the product of a workshop in Venice in 2013,
consolidates, surveys and further advances the study of these
canonical equations. It consists of a number of reviews and a
selection of more traditional research articles on topics that
include classical solutions to the 2D Euler equation, modal
dependency for the 3D Navier-Stokes equation, zero viscosity
Boussinesq equations, global regularity and finite-time
singularities, well-posedness for the diffusive Burgers equations,
and probabilistic aspects of the Navier-Stokes equation. The result
is an accessible summary of a wide range of active research topics
written by leaders in their field, together with some exciting new
results. The book serves both as a helpful overview for graduate
students new to the area and as a useful resource for more
established researchers.
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.
The rigorous mathematical theory of the equations of fluid dynamics
has been a focus of intense activity in recent years. This volume
is the product of a workshop held at the University of Warwick to
consolidate, survey and further advance the subject. The Navier
Stokes equations feature prominently: the reader will find new
results concerning feedback stabilisation, stretching and folding,
and decay in norm of solutions to these fundamental equations of
fluid motion. Other topics covered include new models for turbulent
energy cascade, existence and uniqueness results for complex fluids
and certain interesting solutions of the SQG equation. The result
is an accessible collection of survey articles and more traditional
research papers that will serve both as a helpful overview for
graduate students new to the area and as a useful resource for more
established researchers.
Recent years have seen considerable research activity at the
interface of mathematics and fluid mechanics, particularly partial
differential equations. The 2007 workshop at the University of
Warwick was organized to consolidate, survey and further advance
the subject. This volume is an outgrowth of that workshop. It
consists of a number of reviews and a selection of more traditional
research articles. The result is an accessible summary of a wide
range of active research topics written by leaders in their field,
together with some exciting new results. The book serves as both a
helpful overview for graduate students new to the area and a useful
resource for more established researchers.
Title: Memorias de la Revolucion de Megico, y de la Espedicion del
General D. F. X. Mina ... Escritas en Ingles por W. D. Robinson y
traducidas por J. J. de Mora.Publisher: British Library, Historical
Print EditionsThe British Library is the national library of the
United Kingdom. It is one of the world's largest research libraries
holding over 150 million items in all known languages and formats:
books, journals, newspapers, sound recordings, patents, maps,
stamps, prints and much more. Its collections include around 14
million books, along with substantial additional collections of
manuscripts and historical items dating back as far as 300 BC.The
GENERAL HISTORICAL collection includes books from the British
Library digitised by Microsoft. This varied collection includes
material that gives readers a 19th century view of the world.
Topics include health, education, economics, agriculture,
environment, technology, culture, politics, labour and industry,
mining, penal policy, and social order. ++++The below data was
compiled from various identification fields in the bibliographic
record of this title. This data is provided as an additional tool
in helping to insure edition identification: ++++ British Library
Robinson, William Davis; Mora, Jos Joaquin de; 1888 397 p.; 8 .
9772.b.9.
This is an EXACT reproduction of a book published before 1923. This
IS NOT an OCR'd book with strange characters, introduced
typographical errors, and jumbled words. This book may have
occasional imperfections such as missing or blurred pages, poor
pictures, errant marks, etc. that were either part of the original
artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
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