| eBook ISBN: | 978-0-8218-7817-0 |
| Product Code: | CONM/226.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7817-0 |
| Product Code: | CONM/226.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
-
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.
-
Table of Contents
-
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 ]
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
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.
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 ]
