Accession Number:

ADA218525

Title:

Nonstrictly Hyperbolic Conservation Laws

Descriptive Note:

Final rept. 15 May 1986-14 Nov 1989

Corporate Author:

HOUSTON UNIV TX DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1989-11-14

Pagination or Media Count:

7.0

Abstract:

This project has centered on formulating and solving mathematical problems that arise in the study of systems of conservation laws that are not of the classical, strictly hyperbolic type. Potential applications for these results are found in models for three-phases flow in porous media, for compressible two-phase flow, and for flow in elastic and elastoplastic materials including continuum models for granular flow. Modelling of many different flow processes has led to systems of conservation laws in which the classical assumptions breakdown in a way which leads to distrust of the models. Research in this and allied projects is directed at extending the mathematical theory of conservation laws. The practical goal of this research is to discover which models are well-posed, and, hence, to enable applied scientists to discover which are correct descriptions of various observed instabilities.

Subject Categories:

  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE