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Nonlinear Evolution Equations That Change Type (Paperback, Softcover reprint of the original 1st ed. 1990)
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Nonlinear Evolution Equations That Change Type (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: The IMA Volumes in Mathematics and its Applications, 27
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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."
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