Advanced Computations and Modeling for Nonlinear and Stochastic Waves.

Abstract

The goal of this project was to address basic nonlinear problems in the modeling of physical systems with engineering relevance. Nonlinear conservation laws were chosen for study because these differential equations are basic to many applications. We also studied stochastic issues, as they are often of great importance in nonlinear modeling of physical phenomena. In these studies, we used mathematical theory, first principle computations and analysis of experimental and field data. Motivating applications of our work included, inertial confinement fusion, shock and gravity induced fluid mixing, fluid jet breakup, ground water flows, petroleum reservoir modeling, and high velocity impacts. Additional applications included vehicle signature identification (radar cross sections ) advanced manufacturing technology, pharmacology and drug activity through protein-DNA binding studies, and remediation of environmentally polluted facilities.

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Document Details

Document Type
Technical Report
Publication Date
Aug 09, 1995
Accession Number
ADA300031

Entities

People

  • James Glimm
  • John W. Grove

Organizations

  • Stony Brook University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Advanced Manufacturing
  • Applied Mathematics
  • Biological Sciences
  • Boundary Layer
  • Computations
  • Differential Equations
  • Diffraction
  • Equations
  • Groundwater
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Parallel Computing
  • Physical Theories
  • Turbulent Mixing
  • Water Flow

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Military Science and Technology Research and Modernization.