By Professor Dr. Bernard D. Coleman, Professor Dr. Martin Feinberg, Professor Dr. James Serrin (auth.)
This booklet provides a suite of papers giving the flavour of present examine actions in continuum mechanics, fluid mechanics, thermodynamics and the mathematical research regarding those subject matters. Written via top specialists within the box, the entire papers during this assortment were conscientiously refereed in accordance with the factors of the "Archive for Rational Mechanics and Analysis."
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Additional info for Analysis and Thermomechanics: A Collection of Papers Dedicated to W. Noll on His Sixtieth Birthday
But this method is too simple for the full nonlinear potential. This more complicated problem was successfully attacked by the artificial viscosity method of JAMESON , , whose work makes transonic computation possible in a practical sense. People doing flow computations for viscoelastic fluids are also able to go to higher Weissenberg numbers when they have constitutive equations with more Newtonian viscosity. This procedure masks the problem of dealing with change of type instead of solving it.
SAUT & JOSEPH , extending ideas of COLEMAN & NOLL , have proposed a classification of constitutive laws according to the choice of this domain. Roughly, this associates the nature of the stress-strain relation with the deformations which are allowed. In the linearized case the stresses which are allowed are functionals in the topological dual of dom F. e. the more constitutive laws are allowed. To be more precise, let C~(T) be some given history and C(T) = c(x, t - T) be a small perturbation.
213 215 217 222 225 213 216 217 218 220 224 227 1. Introduction The equations of steady gas dynamics change type when the speed of the fluid at some point exceeds the speed of sound. If this happens, then discon- 26 D. D. JOSEPH, M. -C. SAUT timiities can appear in the supersonic region. We are interested in the possibility that many strange effects in the flow of viscoelastic liquids, as well as difficulties in numerical simulation, are also associated with the appearance of real characteristics and a change of type, analogous to the sonic transition.
Analysis and Thermomechanics: A Collection of Papers Dedicated to W. Noll on His Sixtieth Birthday by Professor Dr. Bernard D. Coleman, Professor Dr. Martin Feinberg, Professor Dr. James Serrin (auth.)