This IMA Volume in Mathematics and its Applications NONLINEAR EVOLUTION EQUATIONS THAT CHANGE TYPE is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshop focussed on prob lems of ill-posedness and change of type which arise in modeling flows in porous materials, viscoelastic fluids and solids and phase changes. We thank the Coordinat ing Committee: James Glimm, Daniel Joseph, Barbara Lee Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing an exciting and stimulating year-long program. We especially thank the workshop organizers, Barbara Lee Keyfitz and Michael Shearer, for their efforts in bringing together many of the major figures in those research fields in which theories for nonlinear evolution equations that change type are being developed. A vner Friedman Willard Miller, J r. ix PREFACE During the winter and spring quarters of the 1988/89 IMA Program on Non linear Waves, the issue of change of type in nonlinear partial differential equations appeared frequently. Discussion began with the January 1989 workshop on Two Phase Waves in Fluidized Beds, Sedimentation and Granular Flow; some of the papers in the proceedings of that workshop present strategies designed to avoid the appearance of change of type in models for multiphase fluid flow."

Gloria Swanson is most remembered today for her role as "Norma Desmond" in Billy Wilder's noir sound classic Sunset Boulevard (1950), but Swanson during her heyday was heralded as filmdom's leading fashion queen, as proclaimed by director Cecil B. DeMille in such silent motion pictures as Male and Female (1919), Why Change Your Husband (1921), and The Affairs of Anatol (1922). Throughout that decade and well into the 1930s Swanson set fashion standards on and off the screen in creations designed by such illustrious couturieres as Mitchell Leisen, Paul Iribe, Norman Norell, Sonia Delaunay, Max Ree, Capt. Edward H. Molyneux, Coco Chanel, Rene Hubert, and later Edith Head. In the 1950s she designed and managed her own line of ready to wear fashion patterns called Forever Young for women of a discernable age. Gloria Swanson: Hollywood's First Glamour Queen is a photographic tribute to this extraordinary woman. Focusing on sense of style and fashion, the book contains hundreds of personal and professional photographs, many never-before-published, and running biographical commentary by biographer Stephen Michael Shearer, author of the definitive book of the star, Gloria Swanson: The Ultimate Star (St. Martin's Press-Macmillan).

This textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and applications. The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis. Topics include first order equations and the method of characteristics, second order linear equations, wave and heat equations, Laplace and Poisson equations, and separation of variables. The book also covers fundamental solutions, Green's functions and distributions, beginning functional analysis applied to elliptic PDEs, traveling wave solutions of selected parabolic PDEs, and scalar conservation laws and systems of hyperbolic PDEs. * Provides an accessible yet rigorous introduction to partial differential equations* Draws connections to advanced topics in analysis* Covers applications to continuum mechanics* An electronic solutions manual is available only to professors* An online illustration package is available to professors

Hedy Lamarr's exotic beauty was heralded across Europe in the early 1930s. Yet she became infamous for her nude scenes in the scandalous movie "Ecstasy." Trapped in a marriage to one of Austria's munitions barons, a friend of Mussolini's who hid his Jewish heritage to become an "honorary Aryan" at the onset of World War II, Lamarr fled Europe for Hollywood, where she was transformed into one of film's most glamorous celebrities, appearing opposite such actors as Clark Gable, Spencer Tracy, and James Stewart. As her career faded, she went from one husband to the next, her personal troubles and legal woes casting a shadow over her phenomenal intelligence and former image.

Stephen Michael Shearer separates the truth from the rumors regarding the life of Hedy Lamarr, and highlights her astonishing role as inventor of a technology that has become an essential part of everything from military weaponry to today's cell phones.