This comprehensive introduction to the mathematical theory of vorticity and incompressible flow begins with the elementary introductory material and leads into current research topics. While the book centers on mathematical theory, many parts also showcase the interaction 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.
Vorticity and Incompressible Flow
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Editorial Reviews
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"This book is destined to become a classic...This is the standard to which the rest of us need to aspire." Journal of Fluid Mechanics
"There are about 11 books currently available on the market covering incompressible flows. Majda and Bertozzi's book is unique in covering both the classical and weak solutions for the incompressible and inviscid flows and is excellently done." Mathematical Reviews
"There are about 11 books currently available on the market covering incompressible flows. Majda and Bertozzi's book is unique in covering both the classical and weak solutions for the incompressible and inviscid flows and is excellently done." Mathematical Reviews
Book Description
This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between 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 comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
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This review is from: Vorticity and Incompressible Flow (Cambridge Texts in Applied Mathematics) (Paperback)
I received the book timely. Book was clean and the price was fair. Helped me get a B in a 500 level class whose four prior prerequisites I was not able to take but were necessary.
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Great book, well written,
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This review is from: Vorticity and Incompressible Flow (Cambridge Texts in Applied Mathematics) (Paperback)
This book is not easy, but it is well written and clearly marked. Important for anyone interested in the Navier Stokes equation.
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Inside This Book
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First Sentence:
In this book we study incompressible high Reynolds numbers and incompressible inviscid flows. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
potential theory estimates, vorticity control, perturbed binormal law, reduced defect measure, background flow field, phantom vortices, exact weak solutions, filament equation, point vortex approximation, different weak solutions, parallel vortex filaments, elementary exact solutions, columnar vortex, eddy solution, radial eddies, basic energy estimate, vortex patch, vorticity amplification, fluid impulse, vortex methods, exact steady solutions, initial vorticity, generalized weak solution, finite kinetic energy, active scalar Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Pure Appl, Fluid Mech, Princeton Univ, Van Dyke, Indiana Univ, Numer Anal, Proceedings of the Symposium, Applied Mathematics Series, Cambridge Univ, Nussenzveig Lopes, Proceedings of International Congress of Mathematicians, Proof of Claim, The Vlasov-Poisson Equations, Mathematical Aspects of Vortex Dynamics, Proceedings of the First International Conference, Pure Mathematics, Theory of Ordinary Differential Equations New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this book we study incompressible high Reynolds numbers and incompressible inviscid flows. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
potential theory estimates, vorticity control, perturbed binormal law, reduced defect measure, background flow field, phantom vortices, exact weak solutions, filament equation, point vortex approximation, different weak solutions, parallel vortex filaments, elementary exact solutions, columnar vortex, eddy solution, radial eddies, basic energy estimate, vortex patch, vorticity amplification, fluid impulse, vortex methods, exact steady solutions, initial vorticity, generalized weak solution, finite kinetic energy, active scalar Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Pure Appl, Fluid Mech, Princeton Univ, Van Dyke, Indiana Univ, Numer Anal, Proceedings of the Symposium, Applied Mathematics Series, Cambridge Univ, Nussenzveig Lopes, Proceedings of International Congress of Mathematicians, Proof of Claim, The Vlasov-Poisson Equations, Mathematical Aspects of Vortex Dynamics, Proceedings of the First International Conference, Pure Mathematics, Theory of Ordinary Differential Equations New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 67
books:
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15
books
cite this book:
See all 15 books citing this book
- Lectures on Partial Differential Equations: Lectures Delivered at the Indian Institute of Science, Bangalore, Under the T.I.F.R.-I.I. Sc. Programme in Applications of Mathematics by G. B. Folland on 8 pages
- Introduction to Partial Differential Equations. Second Edition by Gerald B. Folland on 8 pages
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John on 5 pages
- Real and Complex Analysis (International Series in Pure and Applied Mathematics) by Walter Rudin on 4 pages
- Ordinary Differential Equations (Classics in Applied Mathematics) by Philip Hartman on page 133, page 166, and page 356
See all 67 books this book cites
- Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows by Andrew Majda on 9 pages
- An Introduction to Parallel and Vector Scientific Computing (Cambridge Texts in Applied Mathematics) by Ronald W. Shonkwiler in Front Matter
- Practical Applied Mathematics: Modelling, Analysis, Approximation (Cambridge Texts in Applied Mathematics) by Sam Howison in Front Matter
- Theory of Vortex Sound (Cambridge Texts in Applied Mathematics) by M. S. Howe in Front Matter
- Introduction to Hydrodynamic Stability (Cambridge Texts in Applied Mathematics) by P. G. Drazin in Front Matter
See all 15 books citing this book
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