Nonlinear Wave and Diffusion Equations

Abstract

This research has consisted of a number of investigations into nonlinear wave and diffusion equations. These make their appearance in many mathematical modelling problems, and we have been interested in applications in the field of fluid dynamics, heat and mass transfer, and superconductivity. The problems were tackled using the expertise available both through permanent staff members and through a visitor programme, and equal emphasis was laid on analytical techniques, numerical techniques, and modelling. Contents: (1) Lens and Antenna design; (2) Blow up and Quenching for Nonlinear Diffusion Equations; (3) Wedge Entry; (4) Asymptotics Beyond All Orders; (5) Higher-order Diffusion; (6) Macroscopic Models for Solidification; (7) Mathematical Models for Fibre Tapering; (8) Semiconductor Fabrication; (9) Superconductivity Modelling; (10) Hypersonic Flow; and (11) Combustion in Porous Media. (KR)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1990
Accession Number
ADA229795

Entities

People

  • J. B. Mcleod
  • J. R. Ockendon

Organizations

  • University of Oxford

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Combustion
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Fabrication
  • Flow
  • Fluid Dynamics
  • Gas Flow
  • Heat Energy
  • Hypersonic Flow
  • Mass Transfer
  • Phase Transformations
  • Semiconductors
  • Superconductivity
  • Transitions

Readers

  • Combustion science or combustion engineering.
  • Control Systems Engineering.
  • Systems Analysis and Design

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Microelectronics