Contemporary Mathematics 1999; 172 pp; softcover Volume: 226 ISBN10: 0821809172 ISBN13: 9780821809174 List Price: US$50 Member Price: US$40 Order Code: CONM/226
 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, HeleShaw flow, etc.,
 As a simple model for optimal transportation and a divcurl 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 NSFCBMS conference held at Florida Atlantic University (Boca Raton). L. Cafarelli and other distinguished specialists contributed highquality research results and uptodate 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  J.D. Benamou and Y. Brenier  A numerical method for the optimal timecontinuous mass transport problem and related problems
 L. A. Caffarelli, S. A. Kochengin, and V. I. Oliker  On the numerical solution of the problem of reflector design with given farfield scattering data
 M. J. P. Cullen and R. J. Douglas  Applications of the MongeAmpére equation and Monge transport problem to meterology and oceanography
 M. Feldman  Growth of a sandpile around an obstacle
 W. Gangbo  The Monge mass transfer problem and its applications
 B. Guan  Gradient estimates for solutions of nonparametric curvature evolution with prescribed contact angle condition
 L. G. Hanin  An extension of the Kantorovich norm
 M. McAsey and L. Mou  Optimal locations and the mass transport problem
 E. Newman and L. P. Cook  A generalized MongeAmpére equation arising in compressible flow
 J. Urbas  Selfsimilar solutions of Gauss curvature flows
