Accession Number:

ADA110482

Title:

Boundary Value Problems and Free Boundary Problems for Quasilinear Hyperbolic-Parabolic Coupled Systems.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1981-09-01

Pagination or Media Count:

31.0

Abstract:

In many applications one meets systems of differential equations which consist of first-order hyperbolic and second-order parabolic subsystems which are nonlinearly coupled. These arise, for instance, in the modeling of motion of a compressible, viscous heat conducting fluid, in radiation hydrodynamics, and in the theory of motion of viscoelastic materials. The relevant equations are presented. The results of this work are local time existence and uniqueness theorems for initial-boundary value problems, including cases with free boundaries, for such systems. The results given are for the case of one space dimension. The methods used involve introducing appropriate variables, the method of iteration, a priori estimation and fixed point theorems.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE