Source-Solutions and Asymptotic Behavior in Conservation Laws.

Abstract

We study the uniqueness of the solutions to the scalar conversation law when the initial datum is a finite measure. The case of a Dirac mass is particularly emphasized: it is shown how it provides a description of the asymptotic behavior of the solutions initiated by an arbitrary integrable function. This behavior is proved to depend on one parameter in the case when phi is odd while it depends on two when phi is convex. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA114505

Entities

People

  • Michel Pierre
  • Tai-ping Liu

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Contracts
  • Convergence
  • Differential Equations
  • Equations
  • Filtration
  • Functions (Mathematics)
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Nonlinear Analysis
  • Notation
  • Sequences
  • Symmetry
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Statistical inference.
  • Technical Research and Report Writing.