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Monge Ampère Equation: Applications to Geometry and Optimization
Edited by:
Luis A. Caffarelli
:
New York University-Courant Institute of Mathematical Sciences, New York, NY
Available Formats:
Softcover ISBN: 978-0-8218-0917-4
Product Code: CONM/226
List Price: $53.00
MAA Member Price: $47.70
AMS Member Price: $42.40
Electronic ISBN: 978-0-8218-7817-0
Product Code: CONM/226.E
List Price: $50.00
MAA Member Price: $45.00
AMS Member Price: $40.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
Click above image for expanded view
Monge Ampère Equation: Applications to Geometry and Optimization
Edited by:
Luis A. Caffarelli
:
New York University-Courant Institute of Mathematical Sciences, New York, NY
Available Formats:
| Softcover ISBN: | 978-0-8218-0917-4 |
| Product Code: | CONM/226 |
| List Price: | $53.00 |
| MAA Member Price: | $47.70 |
| AMS Member Price: | $42.40 |
| Electronic ISBN: | 978-0-8218-7817-0 |
| Product Code: | CONM/226.E |
| List Price: | $50.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $40.00 |
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
-
Book DetailsContemporary MathematicsVolume: 226; 1999; 172 ppMSC: Primary 35; 46; 49; 58;
In recent years, the Monge Ampère Equation has received attention for its role in several new areas of applied mathematics:
- As a new method of discretization for evolution equations of classical mechanics, such as the Euler equation, flow in porous media, Hele-Shaw flow, etc.,
- As a simple model for optimal transportation and a div-curl decomposition with affine invariance and
- As a model for front formation in meteorology and optimal antenna design.
These applications were addressed and important theoretical advances presented at a NSF-CBMS conference held at Florida Atlantic University (Boca Raton). L. Cafarelli and other distinguished specialists contributed high-quality research results and up-to-date developments in the field. This is a comprehensive volume outlining current directions in nonlinear analysis and its applications.ReadershipGraduate students, research and applied mathematicians working in nonlinear analysis; also physicists, engineers and meteorologists.
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Table of Contents
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Articles
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Jean-David Benamou and Yann Brenier - A numerical method for the optimal time-continuous mass transport problem and related problems [ MR 1660739 ]
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Luis A. Caffarelli, Sergey A. Kochengin and Vladimir I. Oliker - On the numerical solution of the problem of reflector design with given far-field scattering data [ MR 1660740 ]
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M. J. P. Cullen and R. J. Douglas - Applications of the Monge-Ampère equation and Monge transport problem to meteorology and oceanography [ MR 1660741 ]
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Mikhail Feldman - Growth of a sandpile around an obstacle [ MR 1660742 ]
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Wilfrid Gangbo - The Monge mass transfer problem and its applications [ MR 1660743 ]
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Bo Guan - Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition [ MR 1660744 ]
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Leonid G. Hanin - An extension of the Kantorovich norm [ MR 1660745 ]
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Michael McAsey and Libin Mou - Optimal locations and the mass transport problem [ MR 1660746 ]
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Elsa Newman and L. Pamela Cook - A generalized Monge-Ampère equation arising in compressible flow [ MR 1660747 ]
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John Urbas - Self-similar solutions of Gauss curvature flows [ MR 1660748 ]
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
Volume: 226; 1999; 172 pp
MSC: Primary 35; 46; 49; 58;
In recent years, the Monge Ampère Equation has received attention for its role in several new areas of applied mathematics:
- As a new method of discretization for evolution equations of classical mechanics, such as the Euler equation, flow in porous media, Hele-Shaw flow, etc.,
- As a simple model for optimal transportation and a div-curl decomposition with affine invariance and
- As a model for front formation in meteorology and optimal antenna design.
These applications were addressed and important theoretical advances presented at a NSF-CBMS conference held at Florida Atlantic University (Boca Raton). L. Cafarelli and other distinguished specialists contributed high-quality research results and up-to-date developments in the field. This is a comprehensive volume outlining current directions in nonlinear analysis and its applications.
Readership
Graduate students, research and applied mathematicians working in nonlinear analysis; also physicists, engineers and meteorologists.
-
Articles
-
Jean-David Benamou and Yann Brenier - A numerical method for the optimal time-continuous mass transport problem and related problems [ MR 1660739 ]
-
Luis A. Caffarelli, Sergey A. Kochengin and Vladimir I. Oliker - On the numerical solution of the problem of reflector design with given far-field scattering data [ MR 1660740 ]
-
M. J. P. Cullen and R. J. Douglas - Applications of the Monge-Ampère equation and Monge transport problem to meteorology and oceanography [ MR 1660741 ]
-
Mikhail Feldman - Growth of a sandpile around an obstacle [ MR 1660742 ]
-
Wilfrid Gangbo - The Monge mass transfer problem and its applications [ MR 1660743 ]
-
Bo Guan - Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition [ MR 1660744 ]
-
Leonid G. Hanin - An extension of the Kantorovich norm [ MR 1660745 ]
-
Michael McAsey and Libin Mou - Optimal locations and the mass transport problem [ MR 1660746 ]
-
Elsa Newman and L. Pamela Cook - A generalized Monge-Ampère equation arising in compressible flow [ MR 1660747 ]
-
John Urbas - Self-similar solutions of Gauss curvature flows [ MR 1660748 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.