Homogeneous and Non-Homogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid-Mechanics. Part I.

Abstract

This report seeks to prove the existence and the uniqueness of classical and strong solutions for a class of non-homogeneous boundary value problems for first order linear hyperbolic systems arising from the dynamics of compressible non-viscous fluids. The method provides the existence of classical solutions without resorting to strong or weak solutions. A necessary and sufficient condition for the existence of solutions for the non-homogeneous problem is proved. It consists of an explicit relationship between the boundary values of u and those of the data f. Strong solutions are obtained without this supplementary assumption.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1981
Accession Number
ADA110457

Entities

People

  • H. Beirao Da Veiga

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fluid Mechanics
  • Formulas (Mathematics)
  • Functional Analysis
  • Linear Differential Equations
  • Mathematics
  • Mechanics
  • North Carolina
  • Numbers
  • Partial Differential Equations
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.