Singular Limits in Thermodynamics of Viscous Fluids (Advances in Mathematical Fluid Mechanics)

by Eduard Feireisl and A. Novotny

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Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux.

As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

  • ISBN10 3764388439
  • ISBN13 9783764388430
  • Publish Date December 2009 (first published 19 February 2009)
  • Publish Status Active
  • Publish Country CH
  • Imprint Birkhauser Verlag AG
  • Edition New ed.
  • Format eBook
  • Pages 411
  • Language English