Majda.-.Vorticity.And.Incompressible.Flow.(2002).[sharethefiles.com].pdf

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Vorticity and Incompressible Flow
This book is a comprehensive introduction to the mathematical theory of vorticity
and incompressible flow ranging from elementary introductory material to current
research topics. Although the contents center on mathematical theory, many parts of
the book showcase the interactions among rigorous mathematical theory, numerical,
asymptotic, and qualitative simplified modeling, and physical phenomena. The first
half forms an introductory graduate course on vorticity and incompressible flow. The
second half comprises a modern applied mathematics graduate course on the weak
solution theory for incompressible flow.
Andrew J. Majda is the Samuel Morse Professor of Arts and Sciences at the Courant
Institute of Mathematical Sciences of New York University. He is a member of the
National Academy of Sciences and has received numerous honors and awards includ-
ing the National Academy of Science Prize in Applied Mathematics, the John von
Neumann Prize of the American Mathematical Society and an honorary Ph.D. degree
from Purdue University. Majda is well known for both his theoretical contributions to
partial differential equations and his applied contributions to diverse areas besides in-
compressible flow such as scattering theory, shock waves, combustion, vortex motion
and turbulent diffusion. His current applied research interests are centered around
Atmosphere/Ocean science.
Andrea L. Bertozzi is Professor of Mathematics and Physics at Duke University.
She has received several honors including a Sloan Research Fellowship (1995) and
the Presidential Early Career Award for Scientists and Engineers (PECASE). Her
research accomplishments in addition to incompressible flow include both theoretical
and applied contributions to the understanding of thin liquid films and moving contact
lines.
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Cambridge Texts in Applied Mathematics
Maximum and Minimum Principles
M. J. S EWELL
Solitons
P. G. D RAZIN AND R. S. J OHNSON
The Kinematics of Mixing
J. M. O TTINO
Introduction to Numerical Linear Algebra and Optimisation
P HILIPPE G. C IARLET
Integral Equations
D AVID P ORTER AND D AVID S. G. S TIRLING
Perturbation Methods
E. J. H INCH
The Thermomechanics of Plasticity and Fracture
G ERARD A. M AUGIN
Boundary Integral and Singularity Methods for Linearized Viscous Flow
C. P OZRIKIDIS
Nonlinear Wave Processes in Acoustics
K. N AUGOLNYKH AND L. O STROVSKY
Nonlinear Systems
P. G. D RAZIN
Stability, Instability and Chaos
P AUL G LENDINNING
Applied Analysis of the Navier–Stokes Equations
C. R. D OERING AND J. D. G IBBON
Viscous Flow
H. O CKENDON AND J. R. O CKENDON
Scaling, Self-Similarity, and Intermediate Asymptotics
G. I. B ARENBLATT
A First Course in the Numerical Analysis of Differential Equations
A RIEH I SERLES
Complex Variables: Introduction and Applications
M ARK J. A BLOWITZ AND A THANASSIOS S. F OKAS
Mathematical Models in the Applied Sciences
A. C. F OWLER
Thinking About Ordinary Differential Equations
R OBERT E. O’M ALLEY
A Modern Introduction to the Mathematical Theory of Water Waves
R. S. J OHNSON
Rarefied Gas Dynamics
C ARLO C ERCIGNANI
Symmetry Methods for Differential Equations
P ETER E. H YDON
High Speed Flow
C. J. C HAPMAN
Wave Motion
J. B ILLINGHAM AND A. C. K ING
An Introduction to Magnetohydrodynamics
P. A. D AVIDSON
Linear Elastic Waves
J OHN G. H ARRIS
Introduction to Symmetry Analysis
B RIAN J. C ANTWELL
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