Accession Number:

ADA114505

Title:

Source-Solutions and Asymptotic Behavior in Conservation Laws.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Liu,Tai-Ping
• Pierre,Michel

Report Date:

1982-01-01

Pagination or Media Count:

30.0

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

Descriptors:

• *Integral equations
• *Scalar functions
• *Asymptotic series
• Measurement
• Boundary value problems
• Finite element analysis
• Parameters
• Convex bodies
• Nonlinear algebraic equations

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE