7R42. Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Nonlinear Differential Equations and Their Applications, Vol 48. - SN Antontsev (Dept de Matematica, Univ de Beira Interior, Covilha, 6201-001, Portugal), JI Diaz (Dept de Matematica Aplicada, Univ Complutenese, Madrid, 28040, Spain), S Shmarev (Dept de Matematicas, Univ de Oviedo, Oviedo, 33007, Spain). Birkhauser Boston, Cambridge MA. 2002. 329 pp. ISBN 0-8176-4123-8. $79.95.

Reviewed by AJ Kassab (Dept of Mech, Mat, and Aerospace Eng, Col of Eng, Univ of Central Florida, Orlando FL 32816-2450).

This is a research monograph reporting on collaborative research carried out by the authors over the past 15 years in the field of free boundary problem. Specifically, the authors use energy methods as the basic tool to investigate the underlying mathematical structure of the partial differential equations (PDE) governing various field...

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