The Initial Boundary Value Problem for the Equations of Motion of Compressible Viscous and Heat-Conductive Fluid.

Abstract

We prove the global existence and uniqueness of solutions to the equations of motion for compressible, viscous and heat-conductive Newtonian fluid in a bounded domain, with small initial data and external force, and boundary conditions of zero velocity and constant temperature. We also show that the solution decays exponentially to a unique equilibrium state. The proof uses an energy method similar to the one used in our previous results on the pure initial value problem plus some new techniques for estimates near the boundary. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1981
Accession Number
ADA103866

Entities

People

  • Akitaka Matsummura
  • Takaaki Nishida

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Contracts
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Formulas (Mathematics)
  • Materials
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Real Variables
  • Two Dimensional
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Operations Research