Nonlinear Systems of Conservation Laws

Abstract

This final report covers research in the following three areas: 1) Non-strictly hyperbolic conservation laws: Change of type of equations modelling three phase flow in porous media, solution of Riemann problems; 2) Plastic flow in two dimensions: Linear stability of homogeneous deformations, justification of the quasudynamic approximation; and 3) Glimm's method for the vibrating string' discovery of exact solutions related to a periodic motion.

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Document Details

Document Type
Technical Report
Publication Date
Nov 21, 1988
Accession Number
ADA205837

Entities

People

  • Michael Shearer

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cauchy Problem
  • Computations
  • Equations
  • Equations Of Motion
  • Flow
  • Granular Materials
  • Mathematics
  • Multiphase Flow
  • Nonlinear Systems
  • North Carolina
  • Oil Reservoirs
  • Periodic Functions
  • Plastic Flow
  • Shock
  • Strain Hardening
  • Three Phase Flow

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.
  • Technical Research and Report Writing.