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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
Mario Milman Florida Atlantic University, Boca Raton, FL
Front Cover for Monge Ampere Equation: Applications to Geometry and Optimization
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
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $79.50
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AMS Member Price: $63.60
Front Cover for Monge Ampere Equation: Applications to Geometry and Optimization
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  • Front Cover for Monge Ampere Equation: Applications to Geometry and Optimization
  • Back Cover for Monge Ampere Equation: Applications to Geometry and Optimization
Monge Ampère Equation: Applications to Geometry and Optimization
Edited by: Luis A. Caffarelli New York University-Courant Institute of Mathematical Sciences, New York, NY
Mario Milman Florida Atlantic University, Boca Raton, FL
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.
List Price: $79.50
MAA Member Price: $71.55
AMS Member Price: $63.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2261999; 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.

  • 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 ]
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Volume: 2261999; 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 ]
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