|
Showing 1 - 7 of
7 matches in All Departments
The heh~vior of matter anrl waves in a rlynamical setting nffer~
many challenging prohlems to the mathematician anrl the m~terials
scientist alike. Unrler review in this volume are a variety of
nonlioear phenomena whose con- sirleration entails new
perspectives, oot commooly fouorl in the literatllre. Of particular
note is the experimental aspect of many of the papers. In
arlrlition, attention has been given ta the interaction of
electromagnetic anrl mechanical pro- perties of materials.
Ouestions arise which cannat naw he answererl. Attempts are marle
to rlescrihe anrl to unrlerstand phenomena which are far from
equilihrium ar which suffer ahrupt changes in behavior. Some of
this requires tentative physical or aoalytical assumptions. The
hases for these hypotheses lie in the quest for a rational theory
which agrees with experiment. This Volume anr! Volume 2, ~scUJation
theory, compution, an'!. methorls ~ com- pensated ~~mpact~ess,
offer oi fferent vi ewpoi nts of some of the rlynami cal stllrli es
considereo during the 19f14-19R5 IMA program, Continullm Physics
and Partial Differenti al Equati ons. Contents of the other
volumes, fOllnrl at the enrl of the hook, contain other relevant
titles.
This IMA Volume in Mathematics and its Applications AMORPHOUS
POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a
workshop which was an integral part of the 1984-85 IMA program on
CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are
grateful to the Scientific Committee: Haim Brezis Constantine
Dafermos Jerry Ericksen David Kinderlehrer for planning and
implementing an exciting and stimulating year-long program. We espe
cially thank the Program Organizers, Jerry Ericksen, David
Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a
workshop which brought together scientists and mathematicians in a
variety of areas for a fruitful exchange of ideas. George R. Sell
Hans Weinberger Preface Experiences with amorphous polymers have
supplied much of the motivation for developing novel kinds of
molecular theory, to try to deal with the more significant features
of systems involving very large molecules with many degrees
offreedom. Similarly, the observations of many unusual macroscopic
phenomena has stimulated efforts to develop linear and nonlinear
theories of viscoelasticity to describe them. In either event, we
are confronted not with a well-established, specific set of
equations, but with a variety of equations, conforming to a loose
pattern and suggested by general kinds of reasoning. One challenge
is to devise techniques for finding equations capable of delivering
definite and reliable predictions. Related to this is the issue of
discovering ways to better grasp the nature of solutions ofthose
equations showing some promise.
This IMA Volume in Mathematics and its Applications Oscillation
Theory, Computation, and Methods of Compensated Compactness
represents the proceedings of a workshop which was an integral part
of the 1984-85 IMA program on CONTINUUM PHYSICS AND PARTIAL
DIFFERENTIAL EQUATIONS. We are grateful to the Scientific
Committee: J. L. Ericksen D. Kinderlehrer H. Brezis C. Dafermos for
their dedication and hard work in developing an imaginative,
stimulating, and productive year-long program. George R. Sell Hans
Weinberger PREFACE Historically, one of the most important prohlems
in continuum mechanics has been the treatment of nonlinear
hyperbolic systems of conservation laws. Thp. importance of these
systems lies in the fact that the underlyinq equ~tions of mass,
momentum, and energy are descrihed by conservation laws. Their
nonlinearity and hyperbolicity are consequences of some cornmon
constitutive relations, for example, in an ideal gas. The I. M. A.
Workshop on "Osci 11 at i on theory. computat i on, and methods of
com- pensated compactness" brought together scientists from both
the analytical and numerical sides of conservation law research.
The goal was to examine recent trends in the investigation of
systems of conservation laws and in particular to focus on the
roles of dispersive and diffusive limits for singularily perturbed
conservation laws. Special attention was devoted to the new ideas
of compen- sated compactness and oscillation theory.
This IMA Volume in Mathematics and its Applications Metastability
and Incompletely Posed Problems represents the proceedings of a
workshop which was an integral part of the 19R4-R5 IMA program on
CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EOIIATIONS. We are
grateful to the Scientific Committee:, I.L. Eri cksen D.
Kinderlehrer H. Rrezis C. Dafermos for their dedication and hard
work in developing an imaginative, stimulating, and productive
year-long program. George R. Sell Hans Weinberger Preface Most
equilibrium events in nature do not realize configurations of
minimum energy. They are only metastable. Available knowledge of
constitutive relations and environmental interactions may be
limiterl. As a result, many configurations may he compatible with
the rlata. Such questions are incompletely poserl. The papers in
this volume address a wide variety of these issues as they are
perceived by the material scientist and the mathematician. They
represent a portion of the significant activity which has been
underway in recent years, from the experimental arena and physical
theory to the analysis of differential equations and computation.
This IMA Volume in Mathematics and its Applications AMORPHOUS
POLYMERS AND NON-NEWTONIAN FLUIDS is in part the proceedings of a
workshop which was an integral part of the 1984-85 IMA program on
CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS We are
grateful to the Scientific Committee: Haim Brezis Constantine
Dafermos Jerry Ericksen David Kinderlehrer for planning and
implementing an exciting and stimulating year-long program. We espe
cially thank the Program Organizers, Jerry Ericksen, David
Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a
workshop which brought together scientists and mathematicians in a
variety of areas for a fruitful exchange of ideas. George R. Sell
Hans Weinberger Preface Experiences with amorphous polymers have
supplied much of the motivation for developing novel kinds of
molecular theory, to try to deal with the more significant features
of systems involving very large molecules with many degrees
offreedom. Similarly, the observations of many unusual macroscopic
phenomena has stimulated efforts to develop linear and nonlinear
theories of viscoelasticity to describe them. In either event, we
are confronted not with a well-established, specific set of
equations, but with a variety of equations, conforming to a loose
pattern and suggested by general kinds of reasoning. One challenge
is to devise techniques for finding equations capable of delivering
definite and reliable predictions. Related to this is the issue of
discovering ways to better grasp the nature of solutions ofthose
equations showing some promise."
The heh~vior of matter anrl waves in a rlynamical setting nffer~
many challenging prohlems to the mathematician anrl the m~terials
scientist alike. Unrler review in this volume are a variety of
nonlioear phenomena whose con- sirleration entails new
perspectives, oot commooly fouorl in the literatllre. Of particular
note is the experimental aspect of many of the papers. In
arlrlition, attention has been given ta the interaction of
electromagnetic anrl mechanical pro- perties of materials.
Ouestions arise which cannat naw he answererl. Attempts are marle
to rlescrihe anrl to unrlerstand phenomena which are far from
equilihrium ar which suffer ahrupt changes in behavior. Some of
this requires tentative physical or aoalytical assumptions. The
hases for these hypotheses lie in the quest for a rational theory
which agrees with experiment. This Volume anr! Volume 2, ~scUJation
theory, compution, an'!. methorls ~ com- pensated ~~mpact~ess,
offer oi fferent vi ewpoi nts of some of the rlynami cal stllrli es
considereo during the 19f14-19R5 IMA program, Continullm Physics
and Partial Differenti al Equati ons. Contents of the other
volumes, fOllnrl at the enrl of the hook, contain other relevant
titles.
|
You may like...
The Therapist
Helene Flood
Paperback
R415
R341
Discovery Miles 3 410
The New Kingdom
Wilbur Smith, Mark Chadbourn
Hardcover
(1)
R290
Discovery Miles 2 900
The Red Book
James Patterson, David Ellis
Paperback
R443
Discovery Miles 4 430
|