By R. Byron Bird (auth.), Constantine Dafermos, J. L. Ericksen, David Kinderlehrer (eds.)
This IMA quantity in arithmetic and its purposes AMORPHOUS POLYMERS AND NON-NEWTONIAN FLUIDS is partly the complaints of a workshop which used to be an essential component of the 1984-85 IMA software on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EQUATIONS we're thankful to the medical Committee: Haim Brezis Constantine Dafermos Jerry Ericksen David Kinderlehrer for making plans and imposing an exhilarating and stimulating year-long application. We espe cially thank this system Organizers, Jerry Ericksen, David Kinderlehrer, Stephen Prager and Matthew Tirrell for organizing a workshop which introduced jointly scientists and mathematicians in a number of components for a fruitful trade of rules. George R. promote Hans Weinberger Preface reviews with amorphous polymers have provided a lot of the incentive for constructing novel sorts of molecular idea, to attempt to accommodate the extra major positive aspects of platforms concerning very huge molecules with many levels offreedom. equally, the observations of many strange macroscopic phenomena has influenced efforts to improve linear and nonlinear theories of viscoelasticity to explain them. In both occasion, we're faced no longer with a well-established, particular set of equations, yet with quite a few equations, conforming to a free trend and instructed via common different types of reasoning. One problem is to plan thoughts for locating equations in a position to offering certain and trustworthy predictions. relating to this is often the problem of learning how one can higher take hold of the character of recommendations ofthose equations displaying a few promise.
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Additional resources for Amorphous Polymers and Non-Newtonian Fluids
Unfortunately. the damping induced by fading memory is weak and so smooth solutions break down in finite time when uo(x) is "Iarge" (cf. [16. 3. 21]). 1). 3). 4). 2) in the class of locally bounded measurable functions. under bounded measurable initial data. has been established in . by the method of compensated compactness. Existence of BV solutions. under initial data with bounded variation. is shown in . albeit only in the special ca se f(u);;; g(u) . The intent he re is to look into the problem of existence of BV solutions.
1985 (in press). 9. R. Keunings, "Mesh refinement analysis of the flow of a Maxwell fluid through an abrupt contraction", 4th Int. Conr. on Numerical Methods in Laminar and Turbulent Flow, Swansea, July 1985. 10. M. B. Bush, J. F. Milthorpe and R. I. Tanner, "Finite element and boundary 11. D. D. , October 1984. 12. A. 13. T. J. R. Hughes and T. E. Tezduyar, "Finite element methods for first-order hyperbolic sysems with particular emphasis on the compressible Euler equations", Comp. Meth. Appl.
Keunings, "Mesh refinement analysis of the flow of a Maxwell fluid through an abrupt contraction", 4th Int. Conr. on Numerical Methods in Laminar and Turbulent Flow, Swansea, July 1985. 10. M. B. Bush, J. F. Milthorpe and R. I. Tanner, "Finite element and boundary 11. D. D. , October 1984. 12. A. 13. T. J. R. Hughes and T. E. Tezduyar, "Finite element methods for first-order hyperbolic sysems with particular emphasis on the compressible Euler equations", Comp. Meth. Appl. Mech. , 4S, 217 (1984).
Amorphous Polymers and Non-Newtonian Fluids by R. Byron Bird (auth.), Constantine Dafermos, J. L. Ericksen, David Kinderlehrer (eds.)