Thermodynamics and kinetic theory : proceedings of the 5th bilateral Polish-Italian meeting, Ma̦dralin, Poland, 28 August-1 September 1990

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Bibliographic Information

Thermodynamics and kinetic theory : proceedings of the 5th bilateral Polish-Italian meeting, Ma̦dralin, Poland, 28 August-1 September 1990

editors, Witold Kosiński ... [et al.]

(Series on advances in mathematics for applied sciences, vol. 12)

World Scientific, c1992

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Description and Table of Contents

Description

This book deals with aspects of thermodynamic restrictions in modern continuum mechanics and with particular problems of the kinetic theory and statistical mechanics. It stresses the interplay between statistical and phenomenological modelling of physical phenomena including homogenization techniques for media with microstructure. Diverse approaches to either derivation or justification of macroscopic models by microscopic theories are presented. From the kinetic theory, the problem of existence of solutions to the Boltzmann equation and particular solutions to the discrete velocity models are also considered. The book includes papers concerning viscoelasticity treated within the framework of both rational and extended thermodynamics. Phenomenological theories of hyperbolic heat conduction in solids and fluids are also discussed.

Table of Contents

  • The Einstein-Smoluchowski promeasure, Z. Banach and S. Piekarski
  • evolution hyperbolic equations for heat conduction, V.A. Cimmelli and W. Kosinski
  • second sound waves in superfluid helium, W. Fiszdon
  • extremum principles for the quasi-static problem in linear viscoelasticity, C. Giorgi and A. Marzocchi
  • stochastic systems modelling the hydrodynamic equations, M. Lachowicz
  • equations of heat transport based on approximate kinetic description of phonon processes, W. Larecki
  • extended thermodynamics of viscoelasticity, I-S. Liu
  • thermodynamics of linear viscoelasticity, A. Morro
  • the shock-wave structure by four-velocity model of the Uehling-Uhlenbeck equations, K. Piechor
  • some remarks on a derivation of equations of balance for microstructured continua from Maxwell's statistical mechanics, M. Pitteri
  • shocks and changes of shape of second sound signals in a rigid heat conductor, T. Ruggeri
  • averaged thermodynamics of nonelastic composite materials, C. Wozniak.

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