An Energy Method for the Equations of Motion of Compressible Viscous and Heat-Conductive Fluids.

Abstract

A priori estimates for solutions of the quasilinear hyperbolic-parabolic equations governing the initial value problem describing the motion of compressible, viscous and heat-conductive, Newtonian fluids are derived by means of a new energy method. This technique enables us to simplify and unify our previous results on the global existence in time and uniqueness of smooth solutions of these equations for sufficiently smooth and 'small' initial data and to obtain their rate of decay. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA100598

Entities

People

  • Akitaka Matsumura

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

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

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.