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  • 1
    UID:
    b3kat_BV042420742
    Format: 1 Online-Ressource (395p)
    ISBN: 9781461386896 , 9781461386919
    Series Statement: The IMA Volumes in Mathematics and Its Applications 2
    Note: 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
    Language: English
    Keywords: Erhaltungssatz ; Nichtlineare hyperbolische Differentialgleichung ; Numerisches Verfahren ; Partielle Differentialgleichung ; Schwingung ; Hyperbolische Differentialgleichung ; Erhaltungssatz ; Erhaltungssatz ; Partielle Differentialgleichung ; Elektrische Schwingung ; Numerische Mathematik ; Physik ; Mathematische Methode ; Konferenzschrift ; Konferenzschrift
    Author information: Ericksen, Jerald L. 1924-
    Author information: Kinderlehrer, David 1941-
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    b3kat_BV042419730
    Format: 1 Online-Ressource (XII, 202 p)
    ISBN: 9781461210641 , 9781461270003
    Series Statement: The IMA Volumes in Mathematics and Its Applications 6
    Note: 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
    Language: English
    Keywords: Nichtnewtonsche Flüssigkeit ; Partielle Differentialgleichung ; Amorphe Polymere ; Partielle Differentialgleichung ; Konferenzschrift ; Konferenzschrift
    Author information: Ericksen, Jerald L. 1924-
    Author information: Kinderlehrer, David 1941-
    Library Location Call Number Volume/Issue/Year Availability
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