Nonlinear Differential Equations and Mechanics

Abstract

This project concerns properties of wave propagation in nonlinear partial differential equations of hyperbolic and parabolic type. The analysis is motivated by applications in mechanics, notably the flow of granular materials, and the spread of thin liquid films on a solid substrate. The methods used involve numerical simulations and mathematical analysis, both of the numerical results, and of the underlying phenomena and pdes. In the case of liquid films, the analysis and numerical results are compared to experiments. For granular materials, the results are related to practical considerations of hopper design and instabilities in real flows.

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Document Details

Document Type
Technical Report
Publication Date
Dec 21, 2001
Accession Number
ADA398262

Entities

People

  • Michael Shearer

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Films
  • Granular Materials
  • Instability
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Nonlinear Differential Equations
  • Partial Differential Equations
  • Physics
  • Real Variables
  • Shear Bands
  • Shear Modulus
  • Simulations
  • Thin Films

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Geotechnical Engineering.
  • Nanocomposite Materials Science